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JAEA-Data/Code JAEA-Data/Code 2013-009 日本原子力研究開発機構 Reactor Safety Research Unit Nuclear Safety Research Center October 2013 Japan Atomic Energy Agency 日本原子力研究開発機構 Motoe SUZUKI, Hiroaki SAITOU Yutaka UDAGAWA and Fumihisa NAGASE Input/Output Manual of Light Water Reactor Fuel Analysis Code FEMAXI-7 and Its Related Codes
Transcript
October 2013
Motoe SUZUKI, Hiroaki SAITOU
Input/Output Manual of Light Water Reactor Fuel
Analysis Code FEMAXI-7 and Its Related Codes

This report is issued irregularly by Japan Atomic Energy Agency. Inquiries about availability and/or copyright of this report should be addressed to Intellectual Resources Section, Intellectual Resources Department, Japan Atomic Energy Agency. 2-4 Shirakata Shirane, Tokai-mura, Naka-gun, Ibaraki-ken 319-1195 Japan Tel +81-29-282-6387, Fax +81-29-282-5920, E-mail:[email protected]
© Japan Atomic Energy Agency, 2013
i
JAEA-Data/Code 2013-009
Input/Output Manual of Light Water Reactor Fuel Analysis Code FEMAXI-7 and Its Related Codes
Motoe SUZUKI, Hiroaki SAITOU*, Yutaka UDAGAWA and Fumihisa NAGASE
Reactor Safety Research Unit Nuclear Safety Research Center Japan Atomic Energy Agency
Tokai-mura, Naka-gun, Ibaraki-ken
(Received April 18, 2013)
A light water reactor fuel analysis code FEMAXI-7 has been developed, as an extended
version from the former version FEMAXI-6, for the purpose of analyzing the fuel behavior in
normal conditions and in anticipated transient conditions. Numerous functional improvements
and extensions have been incorporated in FEMAXI-7, which are fully disclosed in the code
model description published in the form of another JAEA-Data/Code report.
The present manual, which is the very counterpart of this description document, gives
detailed explanations of files and operation method of FEMAXI-7 code and its related codes,
methods of input/output, sample Input/Output, methods of source code modification,
subroutine structure, and internal variables in a specific manner in order to facilitate users to
perform fuel analysis by FEMAXI-7.
Keywords: LWR Fuel, Code Analysis, FEM Analysis, Numerical Stability, Fission Gas Release, PCMI, Burn-up
* ITOCHU Techno-Solutions Corporation (Tokyo)
2013 4 18
FEMAXI-7


*
2.1 Files of FEMAXI -7 and EXPLOT ......................................................................... 1
2.2 Files of burning analysis code RODBURN-1 ........................................................... 2
2.3 Files of burning analysis code PLUTON .................................................................. 2
2.4 Compiling source code .............................................................................................. 3
2.4.1 Compiling by Compaq DVF ............................................................................ 3
2.4.2 Compiling by Intel VF 9.5 (or upper) .............................................................. 8
2.4.3 Compiling by Linux-GNU Fortran:g77 ......................................................... 13
References 1 and 2 ........................................................................................................... 14
3. Execution of program ........................................................................................................ 15
3.1 On Windows-PC ..................................................................................................... 15
3.1.3 Basic process of executing the program -1- (Windows) ................................ 17
3.2 Execution in Linux .................................................................................................. 23
3.2.1 Example of Makefile for GNU Fortran 77 (g77) ........................................... 23
3.2.2 Basic process of execution -2- (Linux) .......................................................... 24
3.3 Performing Re-start function ................................................................................... 27
3.3.1 Function to bridge full-length rod and short test rod calculations ................. 27
3.3.2 Re-start calculation from base-irradiation to test-irradiation ......................... 27
3.3.3 Name-list parameters related to Re-start calculation ..................................... 30
3.3.4 Variables taken over and those not taken over in Re-start calculation .......... 31
3.3.5 Explanations for sample Re-start calculations and method ........................... 41
3.4 Usage of output of burning analysis code RODBURN-1 ....................................... 47
3.4.1 Record No. and contents .............................................................................. 47
3.4.2 Usage of records in FEMAXI ........................................................................ 48
3.4.3 Making input file of RODBURN-1 by using FEMAXI ................................ 51
3.5 Usage of output of burning analysis code PLUTON .............................................. 51
3.5.1 Physical quantities of PLUTON output for FEMAXI ................................... 52
3.5.2 Structure of input/output files of PLUTON ................................................... 52
3.5.3 Contents read by FEMAXI code .................................................................... 63
3.5.4 Output file reading function of FEMAXI ...................................................... 65
JAEA-Data/Code 2013-009
3.6 Calculation examples by RODBURN-1 and PLUTON .......................................... 69
3.6.1 PWR fuels ...................................................................................................... 69
3.6.2 BWR fuels ...................................................................................................... 75
References 3 ..................................................................................................................... 81
4.1 Explanation on the relationship of IS and IST ........................................................ 82
4.1.1 Function of ISTATE value ............................................................................. 82
4.1.2 Relationship between IS, IST and ISTATE ................................................... 83
4.1.3 Options specified by IS and IST .................................................................... 83
4.2 Fixed format input ................................................................................................... 85
4.3 Name-list Input ........................................................................................................ 88
4.5 Calculated physical quantities in ZERO power state ............................................ 133
4.6 Method to input history point data ........................................................................ 134
4.6.1 Power history data ........................................................................................ 134
4.6.2 Relative power profile .................................................................................. 134
4.6.3 Input method of power history ..................................................................... 135
4.7 Setting of cladding outer surface temperature ....................................................... 138
5. Models and Input manual of RODBURN-1 .................................................................... 141
5.1 General feature of RODBURN input format ........................................................ 141
5.2 Some comments on the RODBURN code (Sept.1998) ......................................... 141
5.3 Explanations of RODBURN-1 models and methods ............................................ 143 5.4 Explanation of neutron flux control by “ALPH(K), EXTL(K), EXTT(K),
K=1, NDIST”: Option for IDIST ................................................................. 149
5.5 Some important input name-list parameters of FEMAXI-7 for usage
of RODBURN-1 ............................................................................................. 150
References 5 ................................................................................................................... 161
6.1 Input parameters for EXPLOT .............................................................................. 163
6.2 Tables of IDNOs classified by variables ............................................................... 166
JAEA-Data/Code 2013-009
v
6.3 Plotting the quantities with common Y-axis ......................................................... 182 6.4 Explanation on the physical quantities of -axis (3), (4)C Group ................. 183
6.4.1 Physical quantities of pellet .......................................................................... 183
6.4.2 Physical quantities of cladding ..................................................................... 185
7. Sample Input/Output (numerical and plotted outputs) .................................................... 187
7.1 FEMAXI-7 numerical output image of “ABC1.out” ............................................ 187 7.2 Plotting control data file image of “explot.ABC” ............................................... 215
7.3 Images of plotted output “ABC1ABC.pdf” ...................................................... 218
7.4 Example of numerical output of HBS model ........................................................ 224
7.5 Sample input/output of RODBURN-1 .................................................................. 226
8. Manual for modification of materials properties models ................................................ 245
8.1 Materials properties subroutines ........................................................................... 245
8.2 Method of addition and modification of models ................................................... 246
8.2.1 Density ......................................................................................................... 246
8.2.7 Creep ............................................................................................................ 254
8.2.9 Densification ................................................................................................ 260
8.2.10 Plasticity ..................................................................................................... 260
8.2.14 Cladding waterside corrosion ..................................................................... 265
8.2.15 Cladding irradiation growth ....................................................................... 266
8.2.16 Gap thermal conductance ........................................................................... 266
8.2.17 He-Xe gas inter-diffusion coefficient ......................................................... 267
8.3 Method of incorporating a new surface heat transfer model ................................. 268
Appendix .......................................................................................................................... 273
JAEA-Data/Code 2013-009
2. ................................................................................................... 1
2.2 RODBURN-1 .......................................................... 2
2.3 PLUTON ................................................................. 2
2.4 ................................................................................... 3
2.4.2 Intel VF 9.5 (or upper) ..................................................... 8
2.4.3 Linux-GNU Fortran:g77 ................................................... 13
1, 2 ................................................................................................................... 14
3.2 Linux .................................................................................................... 23
3.2.2 -2-Linux ............................................................ 24
3.3 Re-start ............................................................................................... 27
3.3.3 Re-start Name-list ....................................... 30
3.3.4 Re-start ..................... 31
3.4.1 No. ................................................................................... 47
3.4.2 FEMAXI ................................................................... 48
3.5 PLUTON ........................................................... 51
JAEA-Data/Code 2013-009
3.5.2 PLUTON ........................................................... 52
3.5.3 FEMAXI ....................................................... 63
3.5.4 FEMAXI ........................................... 65
3.6.1 PWR ...................................................................................................... 69
3.6.2 BWR ...................................................................................................... 75
3 .................................................................................................................... 81
4.1.1 ISTATE ........................................................................................ 82
4.1.3 IS IST .............................................. 83
4.2 ....................................................................................... 85
............................................................................................ 149
name-list ........................................................................................ 150
6.1 EXPLOT ............................................................................... 163
6.3 Y ................................................................. 182
6.4.1 ........................................................................................ 183
6.4.2 ............................................................................................ 185
7.1 FEMAXI-7 ABC1.out ................................................. 187
7.2 explot.ABC ........................................... 215
7.3 ABC1ABC.pdf .......................................................... 218
7.4 HBS ................................................................ 224
7.5 RODBURN-1 ............................................................ 226
8. ............................................................................... 245
JAEA-Data/Code 2013-009
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1. Introduction Fuel analysis code FEMAXI-7 is the latest version which has been extended to cope with a wide variety of LWR fuel behavior analyses by using related auxiliary codes, system and compilers. The present manual makes a pair with another JAEA-Data/Code 2013-005(1.1), a model description of FEMAXI-7.
The authors hope that this manual will serve for a wide circle of users in understanding and operating FEMAXI-7 with proficiency. Users are recommended to ask JAEA freely concerning the contents when they come across any problem.
2. Execution file system The method of installing FEMAXI(2.1) system into Windows PC and Linux systems, and
execution of the program are explained.
2.1 Files of FEMAXI-7 and EXPLOT The source files of FEMAXI-7 and plotting program EXPLOT consist of the files listed in
Table 2.1.1 and Table 2.1.2. The source file group of FEMAXI-7 is represented by
Femaxi7.FOR in Table 2.1.1, and the group of EXPLOT is listed in Table2.1.2. A sample
calculation case ID is named “ABC”, corresponding to the sample case presented later in
chapter 7. FEMAXI-7 reads the input file name from a file-name-description file fname.d,
and opens the required files. The file names are specified including the path, and designated in
the order of the unit No. listed in Table 2.1.1. (Refer to section 3.1.1 )
Table 2.1.1 FEMAXI-7 files Unit No. File (default name) Contents
Femaxi7.FOR Source code including all the modules
- fem2.exe Executable program
6 ABC.out (ft06.d) Sample numerical output file
7 ABC.plt (expldat) Sample plotting data file
9 fname.d File-name-description file
55 form.data Name-list input format file
89 ft89.d Steam table library file
Since EXPLOT uses calcomp-compatible instructions, it is necessary to link the program
with a calcomp compatible library pltcmp.lib (in Linux, calcmp.a) in compiling
explot.for.
Table 2.1.2 EXPLOT files Unit No. File (default name) Contents
- explot.for, explot2.exe Source, executable program
5 pltcal8.lib (or calcmp.a), Calcomp-compatible library
6 explot.d Plotting control file
7 ABC.plot, ABC.ps, ABC.pdf Sample output. Explained in Chap.7.
2.2 Files of burning analysis code RODBURN-1 RODBURN-1 is a simplified and convenient burning analysis code for LWR fuel rods(2.1).
The source files of RODBURN-1 are listed in Table 2.2.1. This code calculates the power
density profile in the radial direction of pellet as a function of average burnup and concurrently
calculates the generated amounts of fission products and He. RODBURN-1 uses a
file-name-description file rfname.d similarly to FEMAXI.
FEMAXI and RODBURN open the files collectively at the head of main program.
Accordingly it is easy for users to change the default file names and path to adjust them to their
own system circumstances.
Table 2.2.1 RODBURN-1 files Unit No. File name (default name) Contents
- rodburn.for,
rodburn.exe
RODBURN source, executable program
5 ABCrd.dat Input data file (sample) (renamed from rodin) 6 ABCrd.out Numerical output file (sample) 7 ABC.rodex Result data file to be read by FEMAXI 9 rfname.d File-name-description file 1 ft01.d RABBLE(2.3) original library 1 2 ft02.d RABBLE original library 2
60 EJU268 Resonance parameters for U-268 and group cross section of WIMS69(2.4)
61 EJPU240 Resonance parameters for Pu-240 and group cross section of WIMS69
66 origen.d ORIGEN(2.5) code library
2.3 Files of burning analysis code PLUTON PLUTON (=PLUTON-PC) is a burning analysis code for LWR fuels(2.2). This code has a
variety of calculation contents and output formats by using more precise models and methods
than those of RODBURN. When a result file generated by PLUTON is used by FEMAXI-7,
JAEA-Data/Code 2013-009
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either one of two methods should be selected: to write the numerical figures of the result file at
the end of input file of FEMAXI, or to read the result file into FEMAXI. To read the result file,
file **.fmdt is read which is given from PLUTON. In an example shown later, it has a unit No.
of 51, to be read as ABC.fmdt.
2.4 Compiling source code 2.4.1 Compiling by Compaq DVF
It was a standard compiling method for FEMAXI-V and -6, EXPLOT, RODBURN and
PLUTON to be compiled with Compaq Digital Visual Fortran 6.1 or Upper-version (CDVF).
However, CDVF has been discontinued. Accordingly, hereafter Intel® Visual Fortran
(IVF)(2.7) is used as a standard compiler for FEMAXI-7, EXPLOT, RODBURN and PLUTON.
Nevertheless, compiling method with CDVF is explained first as there may be still not so
small a number of users of CDVF. The compiling options of CDVF are shown below for
Windows PC (2000, XP, Vista, and Windows 7). Here, the optimization parameter for CDVF
compiling is “Full optimization”.
(1) Basic method on the basis of Developer Studio In the following example, Compaq Visual Fortran Standard Edition 6.6.0 (English
version) is used. The example is also applicable to Compaq Visual Fortran Ver 6.1 or Upper.
1) Making a new project To form a new project, open a new project making pane by selecting the menu
[File][New]. Select [Fortran Console Application] by [Projects] tab, and input [Project
name], e.g. if the source is FEMAXI, “FEM”.
Input the directory name in [Location] where project is generated, or select a parent
directory name under which the project directory name is input, then click [OK]. In the
example below, “C:/FEM7” is selected and the project directory is named “C:/FEM7/FEM”,
then [OK] is clicked. In the next selection pane, select [An empty project], click [Finish], and
click [OK] in the pane [New Project Information].
JAEA-Data/Code 2013-009
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2) Designation of source code Designate the source code in “File View” pane. If no “File View” pane is shown, show the
pane by selecting [View][Workspace]. In the pane, extend the workspace files selected in
the previous process 1). Right click on [Source Files], and select [Add Files to Folder], and
then select the source files by [Insert Files into Project]. In the example below, the compile
target code is FEMAXI-7, and “FEMAXI7.FOR” is selected.
3) Change into Release mode Change the build configuration into “Release” mode. Select the menu [Build][Set
Active Configuration], open [Set Active Project Configuration] pane, and change the mode into [FEM - Win32 Release].
JAEA-Data/Code 2013-009
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4) Designation of other INCLUDE directories If there are some INCLUDE files in a directory except the directory directly under the
project directory, it is necessary to designate the INCLUDE directory one more time.
This process is as follows: select [Project][Settings] to open the pane [Project
Settings]. Set [Settings For] into [Win32 Release] (or to [All Configurations] ), and select
the uppermost ranked project name in the file structure viewing pane below. Change the
pane into [Fortran] tab, and change [Category] into [Preprocessor]. Input the directory name
which has the INCLUDE files into [INCLUDE and USE Paths]. In this example, “../INC” is
designated.
5) Libraries
For EXPLOT, it is necessary to designate a calcomp library for compiling before building. Detailed procedure is explained in the next sections (3) and (4).
6) Building the executable files
Perform building to make an executable program by selecting [Build][Build FEM.exe (=executable program name)].
7) Confirmation of executable program generation Confirm that the executable program has been generated under “Release” directory in the
project directory. (2) Designation method of linking Calcomp library in Developer Studio
In EXPLOT, either one of the two following methods is used in designating the calcomp
JAEA-Data/Code 2013-009
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library. It is not necessary to use both the methods at the same time.
1) Addition of library file by changing link setting Link pltcal by adding library file in setting the link of project. By selecting
[Project][Settings], open the pane [Project Settings]. Select [Win32 Release] (or [All
Configurations]), and select the uppermost project name (“explot2”) in the directory
structure table pane shown below. Shift to the tab [Link], put a half space after the already
registered library in [Object/library modules:], and input the library path, i.e. in this example
“pltcal8.lib”, for this file is stored just under the project directory.
2) Addition of library file by adding resource file
Addition of library file to Resource File allows the link. Right-click [Resource Files] in
View Files pane, select [Add Files to Folder], and open [Insert Files into Project] pane.
Change the [File type] into [Library Files(.lib)], and select “pltcal8.lib”.
JAEA-Data/Code 2013-009
2.4.2 Compiling by Intel VF 9.5 (or upper)
Method to compile the source by Intel Visual Fortran(2.7) is described below. It is necessary
to change the settings of retention of error check variables and local variables from the initial
settings, which is different from the situation in Compaq Visual Fortran.
(1) Basic method of compiling FEMAXI-7 on Visual Studio In the following example, Intel Visual Fortran Compose XE 2011 on Microsoft Visual
Studio 2010 is used. This example is also applicable to Intel Visual Fortran 9.5 without
significant changes.
1) Making project Select [File][New Project], extend [Intel(R) Visual Fortran], and select [Console
Application], and select [Empty Project]. Put a project name, e.g. [FEM], and location of the
project, and click [OK].
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2) Addition of source files Right-click the [source files] of the project in [Solution Explorer], select
[Addition][Existing files]. A file pane opens. Select source files, and click [Addition].
3) Change into Release mode Change the build-configuration into Release mode by opening [Build] pane
[Configuration Manager].
JAEA-Data/Code 2013-009
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4) Addition of include file Method A: Select [Project][Properties]. Spread [Fortran] of configuration properties, and
designate the include file names or their directory name by clicking [General][Additional Include Directories].
Method B: Add the include files to the [Header Files] in Solution Explorer pane.
5) Change of settings to cover fortran 77
When compiling FEMAXI-7, EXPLOT and RODBURN by Intel Fortran, the following
changes are needed because the source files are partly written in Fortan77. Since PLUTON is
written in Fortran 90, these changes are not necessary.
Select [Project][Properties], and spread [Fortran].
i) Spread [Diagnostics][Language Usage Warnings], input [No] in [Check Routine Interfaces].
JAEA-Data/Code 2013-009
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ii) [Data][Local Variable Storage], change to [All Variables SAVE (/Qsave)].
iii ) Open [External Procedure], confirm that [Calling Convention] is [Default].
JAEA-Data/Code 2013-009
iv) [Run-time]input [No] in [Check Array and String Bounds].
v) Spread [Diagnostic][General], input [No] in [Interface Block Generation].
This option is not present in Intel Visual Fortran Composer XE 2011.
When all the changes are done, click [Apply].
6) Making an executable file Make an executable program by [Build][Build Project name].
(2) Method of compiling EXPLOT on Visual Studio 1) Addition of source file and library file Similarly to the case of FEMAXI-7 above, add the source code and library by using [Solution Explorer] pane.
JAEA-Data/Code 2013-009
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2) Change of settings to cover fortran 77 All the changes described above in 5) for FEMAXI-7 should be also applied to EXPLOT. 3) Making an executable file
Make an executable program by [Build][Build Project name]. 2.4.3 Compiling by Linux-GNU Fortran: g77
To execute FEMAXI-7 on Linux, compiling procedure by g77 which can be obtained for
free is explained. Only FEMAXI and EXPLOT are assured to be successfully built by g77.
(1) FEMAXI compiling
In an usual setting of g77, initialization and retention of local variables is not conducted, so that it is necessary to add retention of local variables as optional arguments-fno-automatic
and initialization (-finit-local-zero) when compiling. Accordingly, femaxi7.FOR is compiled
by the commands below to make an executable program FEMAXI-7.
g77 -o FEMAXI-7 -fno-automatic -finit-local-zero femaxi7.FOR (2) Building the executable file of EXPLOT
CALCOMP-compatible library calcmp.a is generated from source file calcmp.for.
g77 -fno-automatic -finit-local-zero -o calcomp.for -c calcmp.o ar cr calcmp.o calcmp.a
By linking CALCOMP-compatible library, link is carried out.
g77-o EXPLOT -fno-automatic -finit-local-zero explot2.for calcmp.a
JAEA-Data/Code 2013-009
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References 1 and 2 (1.1) M. Suzuki, H. Saitou, Y. Udagawa and F. Nagase, Light Water Reactor Fuel Analysis
Code FEMAXI-7; Model and Structure, JAEA-Data/Code 2013 – 005(2013). (2.1) M.Suzuki, H.Saitou, Y.Udagawa, “Light Water Reactor Fuel Analysis Code
FEMAXI-7;Model and Structure”, JAEA-Data/Code 2010-035 (2011) [in Japanese]. (2.2) M.Uchida, H.Saitou, “RODBURN: A Code for Calculating Power Distribution in Fuel
Rods”, JAERI-M 93-108 (1993) [in Japanese]. (2.3) P.H.Kier and A.A.Robba, “RABBLE, A Program for Computation of Resonance
Absorption in Multi-region Reactor Cells”, ANL-7326 (1967) . (2.4) WIMS-D: IAEA Nuclear Data services, http://www-nds.iaea.org/ (2.5) M.J.Bell, “ORIGEN-The ORNL ISOTOPE GENERATION AND DEPLETION CODE”,
ORNL-4628 (1973) (2.6) S.Lemehov and M.Suzuki, “PLUTON – Three-Group Neutronic Code for Burnup
Analysis of Isotope Generation and Depletion in Highly Irradiated LWR Fuel Rods, JAERI-Data/Code 2001-025 (2001)
(2.7) Intel ® Visual Fortran Composer XE 2011 Windows, http://www.xlsoft.com/jp/products/intel/compilers/fcw/index.html?tab=0
JAEA-Data/Code 2013-009
/Fem/Release/fem2.exe, FEM.dsp, FEM.dsw, FEM.opt, FEM.plg of Compaq DVF,
form.data (description of output variables) , ft89.d /Fem /srcf, INC (source and include files)
3. Execution of program
3.1 On Windows-PC 3.1.1 Directory structure for Compaq compiler
An example of directory structure and file configuration is shown for Windows system assuming that the parent directory C:/Fem7 is located on C-drive.
C:/Fem7
rodburn2.dsp, rodburn2.dsw, rodburn2.plg, rodburn2.opt of Compaq DVF
/rbout / **.rodex (ORDBURN result file to be fed to FEMAXI)
/outp / **.out (FEMAXI numerical output), **.plt (plotting data file generated by FEMAXI), **.ps (postscript file of plotted figures), **.pdf (plotted figures in pdf file converted from ps file), **.plot (text file of numerical data of plotted figures) **.csv (CSV file of plotted numerical data) **rd.out (numerical output of RODBURN-1).
/Wrk/ rod.bat, fem.bat, plot.bat (batch programs) **.d05 (FEMAXI input file), **rd.dat (RODBURN input file) explot.** (plotting control file), mytitl.txt (plotting caption file)
JAEA-Data/Code 2013-009
3.1.2 Directory structure for Intel compiler
An example of directory structure and file configuration is shown for Windows system assuming that the parent directory /Fem7 is located on C-drive.
C:/Fem7
explot2.sln, explot2.ncb, explot2.opt, explot2.vfproj of Intel compiler
/ROD/Release/ ROD.exe rodburn2.for, (RODBURN-1 sources) Ejpu240, Eju238, ft01d, ft02.d, origen.d (libraries) ROD.sln, ROD.vfproj of Intel compiler
/rbout / **.rodex
/outp/ **.out (FEMAXI numerical output file), **.plt (plotting data file generated by FEMAXI), **.ps (postscript file of plotted figures), **.pdf (plotted figures in pdf file converted from ps file), **.plot (text file of numerical data of plotted figures) **.csv (CSV file of plotted numerical data) **rd.out (numerical output of RODBURN-1).
/Wrk/ rod.bat, fem.bat, plot.bat, **.d05 (FEMAXI input file), **rd.dat (RODBURN-1 input file) explot.** (plotting control file), mytitl.txt (plotting caption file)
JAEA-Data/Code 2013-009
3.1.3 Basic process of executing the program -1- (Windows)
An important process to execute the FEMAXI-7 system is briefly explained below.
(1) Activation of command prompt FEMAXI-7, RODBURN and EXPLOT are executed by entering a batch command
following the MS-DOS prompt. For this purpose, MS-DOS Windows for the FEMAXI
system has to be prepared.
A) Look for the MS-DOS prompt icon in the Windows system, create a shortcut to the
program to be executed and place it on Desktop.
B) Open “Properties” of this shortcut, press the program tab, select e.g. C:/Fem7/Wrk from
the Work Directory.
C) Change the icon to enable easy recognition of this shortcut and simultaneously change
the name of the shortcut to “Fem7”. Hereafter, this shortcut is called “FEM7”.
(2) Test run of RODBURN-1
A) Input “rod ABC” following the prompt (/Fem7/Wrk) which causes RODBURN to be
executed. By entering “rod ABC”, the system searches for the file “ABCrd.dat” and
reads it. If “rod ABCrd.dat” is entered, the system searches for “ABCrd.datrd.dat”.
and “Error stop” occurs because such a file does not exist.
B) After the completion of execution, start Explorer and confirm if the time stamp of the
file ABC.rodex in /Wrk /RBOUT is renewed.
(3) Test run of FEMAXI-7
A) Enter “fem ABC 1” following the prompt, which causes FEMAXI-7 to be executed.
By entering “fem ABC 1”, the system searches for the file “ABC.d05”, reads it, and
outputs the files named ABC1.out and ABC1.plt. When “fem ABC 2” is entered first,
ABC2.out and ABC2.plt are created.
If “fem ABC.d05” is entered, the system searches for the file, “ABC.d05.d05” and
“Error stop” occurs because such a file does not exist.
B) After the completion of execution, start Explorer, and confirm if files ABC1.out and
ABC1.plt are created in /Wrk /Outp.
JAEA-Data/Code 2013-009
(4) Test run of EXPLOT
A) Enter “plot ABC1 d” following the prompt which causes EXPLOT to be executed. By
entering “plot ABC1 d”, the system searches for and reads files, “explot.d” and
“ABC1.plt”. By entering “plot ABC1.plt”, the system searches for a file “ABC1.plt.plt”
and “Error stop” occurs because such a file does not exist. When “plot ABC2 f” is
entered, the files “explot.f” and “ABC2.plt” are read, and the files ABC2.plot, ABC2.ps
and ABC2.csv are produced.
B) After the completion of execution, start Explorer and confirm if files ABC1.plot,
ABC1.ps and ABC.csv are created in /Wrk /OUTP.
C) After this confirmation, double click ABC1.ps which activates Adobe Acrobat Distiller,
and the system converts the ps file into a pdf file. After conversion has been completed,
the file ABC1.pdf is created. To enable this conversion, it is necessary to install either
the complete set of Adobe Acrobat 4.0 (or a higher version) or ps2pdf. ps2pdf can be
used by downloading from internet without charge, installing and setting GhostScrpipt.
After setting GhostScrpipt, move to /Fem7/Wrk/OUTP, and input the ps2pdf command
“ps2pdf ABC1.ps ABC1.pdf”. Then, ABC1.pdf can be generated from ABC1.ps.
The above-mentioned conversion cannot be carried out using Acrobat Reader which
can be downloaded without charge.
D) Double click ABC1.pdf and open the file to confirm the creation of output plots.
(5) Main analysis -1- (case1 making input file for RODBURN by using FEMAXI)
A) Initially, FEMAXI calculation is carried out without RODBURN. Namely, calculation
is carried out with the name-list parameter IROD=1, or =2, or =3 in input data file (e.g.,
EFG.d05). For the value of IROD, see the input manual of FEMAXI-7. Then, FEMAXI
does not perform normal calculation, but generates a file “rodin” in /Wrk.
B) Open the file “rodin” and confirm the content. Rename “rodin” into, e.g., “ABCrd.dat”
and execute RODBURN with this input file ABCrd.dat.
C) Next, to perform calculations using the results of RODBURN, execute FEMAXI again
by setting the name-list parameters IROD=0 and IFLX= -2 in EFG.d05.
D) Edit the plot control information file, explot.d.
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E) Execute EXPLOT and produce EFG.ps and EF.plot. Obtain plotted figures by
converting EFG.ps into EFG.pdf.
F) Note: Since the output files EFG.out, EFG.plt. EFG.plot. EFG.ps and EFG.pdf are
overwritten each time E) through F) are executed, if users wish to retain previous results,
they should be assigned a convenient name such as EFG1.out.
(6) Main analysis -2- (case2 making input file for RODBURN)
A) When the output history in the input data file (e.g., EFG.d05) is time vs. linear power,
FEMAXI calculation is initially carried out without RODBURN. Namely, calculation
is carried out with the name-list parameter IFLX=0.
B) Open the output file EFG.out using an editor, read the cumulative burnup, and produce
the RODBURN input data file EFGrd.dat. After this, follow the identical processes to
those shown in the case1above.
(7) Main analysis -3- (case3 using PLUTON) By designating the name-list parameter IFLX=-1, FEMAXI calculation is performed with
the burning analysis result file obtained by PLUTON-PC execution.
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(8) List of batch files A) Execution of FEMAXI: fem.bat
In a case where different parent directory from /FEM7 is used, change the 3rd line “set
MYPATH=C:/FEM7”.
echo OUT@@@ %MYPATH%\Wrk\outp\%1%2.out >> fname.d
GOTO NOX2
rem ( ex. if input file name is arg1.rns ... )
rem ( ran.bat arg1 arg2 )
echo PLT@@@ %MYPATH%\Wrk\outp\%1%2.plt >> fname.d
echo FT11@@ %MYPATH%\Wrk\outp\%1%2.ft11 >> fname.d
echo FT18@@ %MYPATH%\Wrk\outp\%1%2.ft18 >> fname.d
echo FT20@@ %MYPATH%\Wrk\outp\%1%2.max >> fname.d
echo PLUTN@ %MYPATH%\Wrk\rbout\%1.FMdt >> fname.d
echo RODEX@ %MYPATH%\Wrk\rbout\%1.rodex >> fname.d
echo FORM@@ %MYPATH%\Fem\form.data >> fname.d
echo FT89@@ %MYPATH%\Fem\ft89.d >> fname.d
copy %MYPATH%\Wrk\%1.d05 .\%1.d
copy %MYPATH%\Wrk\outp\%1.ft11 .\ft15.d
%MYPATH%\Fem\Release\Fem
echo RODBURN Execution Started
echo %MYPATH%\wrk\outp\%1rd.out >> rfname.d
echo %MYPATH%\wrk\rbout\%1.rodex >> rfname.d
echo %MYPATH%\ROD\ft01.d >> rfname.d
echo %MYPATH%\ROD\ft02.d >> rfname.d
echo %MYPATH%\ROD\eju238 >> rfname.d
echo %MYPATH%\ROD\ejpu240 >> rfname.d
echo %MYPATH%\ROD\origen.d >> rfname.d
copy %MYPATH%\wrk\%1rd.dat .\%1.d
c:%MYPATH%\ROD\Release\rodburn.exe
del rfname.d
del %1.d
del wk*.*
del rbpldat
rem PLOT6 Execution Started
echo %1.plt >> exp.d
echo %1%2.ps > exp2.d
move %1.plt %MYPATH%\Wrk\outp\%1.plt
move %1.plt2 %MYPATH%\Wrk\outp\%1.plt2
del plot.ps
del plot.d
del plotout
del expldat
del exp.d
del exp2.d
del ft05.d
del explot.d
3.2 Execution in Linux
3.2.1 Example of Makefile for GNU Fortran 77 (g77) An example of Makefile of Gnu-make is shown which assumes the directory structure
shown in section 3.2.1. The makefile having the following contents is put just under the
directory $HOME$/FEM7/, and by executing “make FEMAXI7” or “make EXPLOT”,
compilation can be performed with g77. In the case below, compilation is performed with O2
optimization and static.
FFLAGL = -w -fno-automatic -finit-local-zero
EXPLOT: $(OBJPLOT) $(LIBP)
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3.2.2 Basic process of execution -2- (Linux)
By executing a script file in a terminal emulator, FEMAXI-7 and EXPLOT can be run. In
the following explanation, executing method is described on the assumption that the related
files /FEM7/ are present in the directory which is just below the home directory $HOMES$.
The directory structure of Linux system for FEMAXI is similar to those of the Windows
system.
[Attention] : execution is capable of failure except the case where line feed encode is LF.
(1) Process of FEMAXI-7 execution A) Activate the terminal emulator, and move the current directory into $HOME$/FEM7/Wrk
by the command “cd /FEM7/Wrk”.
B) Activate FEMAXI by the script file fem.sh. Put an input file, e.g., ABC.d05 under $HOME$/FEM7/Wrk, and input “./fem.sh ABC 1” in the terminal emulator. The shell script is run, ABC.d05 is read, and files ABC1.* are output. Here, it is noted that by entering “./fem.sh ABC.f05 1”, the system searches for ABC.d05.d05, and “Error stop” occurs because such a file does not exist.
C) After the completion of execution, confirm if files ABC1.out and ABC1.plt are created in
$HOME$/FEM7/Wrk/outp.
(2) Process of EXPLOT execution A) Activate the terminal emulator, and move the current directory into $HOME$/FEM7/Wrk
by the command “cd /FEM7/Wrk”.
B) Activate EXPLOT by the script file explot.sh. If plt file of FEMAXI, e.g. ABC1.plt, exists under the directory $HOME$/FEM7/Wrk/outp and EXPLOT input file explot.d exists under the directory $HOME$/FEM7/Wrk/, input “./plot.sh ABC1 d” in the terminal emulator. Then shell-script is executed, reads “ABC1.plt” and “explot.d”, and creates a file ABC1.* under the directory $HOME$/FEM7/Wrk/outp. Here, it is noted that by entering “./plot.sh ABC1.plt”, the system searches for ABC1.plt.plt, and “Error stop” occurs because such a file does not exist.
C) After the completion of execution, confirm if files ABC1.plot, ABC1.ps and ABC1.csv are
created in $HOME$/FEM7/Wrk/outp. If ps2pdf has been installed in the system,
ABC1.pdf is also created.
# !/bin/sh
# plot.sh
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3.3 Performing Re-start function A new Re-start function has been implemented in FEMAXI-7. This function generates a result file, i.e. Re-start file, which stores the EOL conditions of fuel rod after calculation along base-irradiation history and can be read by FEMAXI-7 to perform re-start calculation. Hereafter, the first calculation to generate the Re-start file is referred to as “Base calculation”, and the calculation following the re-start is referred to as “Re-start calculation”. 3.3.1 Function to bridge full-length rod and short test rod calculations
In the analysis of a full length fuel rod which was base-irradiated in a commercial reactor and refabricated into a short instrumented rod to be test-irradiated in a test reactor, a short rod geometry was obliged to be adopted from the beginning of base-irradiation by the analyses of previous versions of FEMAXI up to FEMAXI-6. This analytical restraint has been removed.
(1) In base-irradiation, calculation is performed with a full length rod geometry including
pellet stack length, and plenum length etc.(IFEMRD=1 or 0). In this case, users have to
set a plural of segments in the axial direction of rod, and this axial segmentation should be
conducted so that length and location of a short test rod portion are included in the axial
segments of base-irradiation analysis.
(2) In the input file of FEMAXI where a full length rod is divided into 6 segments (more than 2 segments), by designating IREST=4 for example, the rod conditions at the end of base-irradiation in all the segments are stored in Re-start file *.ft11. This file is usually generated in the directory /Wrk/OUTP.
3.3.2 Re-start calculation from base-irradiation to test-irradiation
(1) Renaming Re-start file Implication of the file name of *.ft11 is explained below. Suppose a file Base1.ft11 is generated after Base calculation(BC). This requires the input file name of Restart calculation (RC) to be Base1.d05. However, it often happens that RC is applied to test irradiation calculation and its input file is named Test.d05 or something similar. Consequently, it is necessary to rename Base1.ft11 into Test.ft11. If this Restart calculation uses a RODBURN result file, the result file named base.rodex exists in /RBOUT. Then, it is necessary to make a duplicate of base.rodex in another directory, rename it into Test.rodex or something similar, and return it back to /RBOUT. Otherwise, Re-start calculation will not run with input file Test.d05.
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It is often possible to use the same rodex file in both base calculation and Re-start calculation. RODBURN performs calculation until the burnup which is to some extent higher than the burnup at EOL which is specified by input file. On the other hand, the additional burnup during the test irradiation (Re-start calculation) is not very large. Accordingly, in many cases the burnup extension in the Re-start irradiation falls within the range of burnup of rodex file calculated by RODBURN.
Even if the burnup of test irradiation exceeds the maximum burnup of rodex, the calculation will not be significantly affected for the following reason:
If the burnup of FEMAXI calculation exceeds the upper bound recorded in rodex file, FEMAXI continues calculation assuming that the power density profile in the radial direction of pellet remains to be the profile at the highest burnup recorded in the rodex file. This is a good approximation because in high burn up region the power density profile has only a slight dependence on burnup extension.
If the burnup of Re-start calculation exceeds markedly the upper bound recorded in rodex file of Base calculation, the following convenient method is recommended: In making rodex for Base calculation, extend input irradiation history deliberately to attain much higher burnup than the EOL burnup of base irradiation. After rodex is made, eliminate the extended part of irradiation history of input file to perform Base calculation. (2) Initial conditions of Re-start calculation If the segments for short re-fabricated rod are, for example, the 2nd to 5th segments of the full length rod, by specifying “IREST=5” and “TRSGT=2, 5” in the input file of test irradiation analysis, the end-of-base-irradiation conditions of these segments, i.e. sizes of pellet and cladding, burnup profiles, FGRs, gap conditions, etc., are read from *.ft11 to be used as initial conditions of the analysis of fuel rod during test-irradiation. Fig.3.1 illustrates the relationship of rod segmentation for “TRSGT=2, 5”.
In this case, plenum volume, initial internal gas pressure, and gas composition of test rod can be specified as a new set of initial conditions by name-list parameters in Re-start input file
Fig.3.1 Axial segmentation of the full-length rod and re-fabricated short test-rod
Bottom Plenum re-fabricated zone
30mm Seg.#4 Seg.#3 Seg.#2
Full length rod
Short test rod
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as per usual. Particularly, the plenum volume has to be newly specified. However, values of initial gas pressure and gas composition are taken over from those in
*.ft11 if they are not newly specified by name-list parameters. All the other conditions of fuel rod such as stress-strain of rod, fission gas bubbles or accumulated amount of fission gas atoms, power density profile in the radial direction of pellet etc. are taken over from *.ft11.
It is recommended that the formatted data of fuel rod specification (size, shape), initial plenum volume, initial internal pressure and gas composition in the input file of Re-start calculation be the same as those in the input file of Base calculation to circumvent misunderstanding. As these data are read in Re-start calculation, Re-start execution fails if they are not written in the input file. However, even if they are written, they are not used as the initial values in Re-start calculation. The initial values of these quantities in Re-start calculation are always fed by *.ft11 file.
Here, plenum volume, internal gas pressure, gas composition, coolant conditions (equivalent diameter of flow area, cross section area of flow, fuel rod pitch) can be specified in input file as a new set of parameters for Re-start calculation (test irradiation) by using name-list parameters. In this case, the corresponding data stored in *.ft11 file are not used in calculation, and quantities to be specified as initial conditions can be input by using some or all of the name-list parameters ITIME(n), GASPRN(n), GMIXN(n), DEN(n), FAREN(n), PITCHN(n), and PLENM(n). It is noted that when ITIME(n) is specified, GASPRN(n), GMIXN(n), and PLENM(n) have to be specified invariably.
All the other quantities such as stress-strain state of fuel rod, conditions of fission gas bubbles and fission gas accumulation, and power density in the radial direction of pellet are fed from *.ft11 file. However, either the data of power density profile vs. burnup table which is attached at the last part of input file or the *.rodex file to be read by FEMAXI is always necessary in Re-start calculation.
When IFEMRD=0, this Re-start calculation is also possible, though the objective segment in which 2-D calculation is performed has to be the same segment that is specified by TRSGT. If not, error message is issued and calculation will not start.
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3.3.3 Name-list parameters related to Re-start calculation
A group of name-list input parameters which are used in Re-start calculation function is
listed in Table 3.3.1.
Table 3.3.1 Name-list parameters of FEMAXI-7 Restart function Parameter name Contents Default
Value
IREST
0
In FEMAXI-7 calculation (2) =4: generating Re-start file (**.ft11) for FEMAXI, allowing the
designation of segments for refabricated short rod.
In FEMAXI-7 Re-start calculation (3) =5: reading the restart file (**.ft11) generated by FEMAXI-7 to perform the FEMAXI calculation of test-irradiation for the axial segments designated by TRSGT. However, the objective segment for 2-D mechanical analysis in the base-irradiation calculation should be the same as the axial segment designated by TRSGT.
TRSGT(2)
Input when IREST=5 in FEMAXI-7 Re-start calculation. Otherwise, error message is shown and calculation will start.
E.g., the number of segment is 10 in base-irradiation calculation and conditions of segments 4 to 6 are to be taken over, TRSGT=4,6 is set. If only 5th segment is the target, TRSGT=5 is set.
In performing the 2-D analysis, designated objective segment No.(specified by IFEM) has to be included in TRSGT. For example, in base-irradiation the objective segment is 5 (IFEM=5) and TRSGT=4, 6, IFEM in Restart calculation is “IFEM=2”. If this designation is inconsistent, error message is shown and calculation will not start.
0
IRTIME
When IRTIME=0 in the input file of Re-start calculation, time (or burnup) has to be input as a sequential value from the beginning of base-irradiation.
However, if time is input, burnup at EOL of base-irradiation calculation is taken over to be an initial burnup of Re-start calculation.
When IRTIME=1, time at the start of Re-start calculation has to
be 0, and with this initial time=0, the Re-start irradiation history has to be given in input file. However, in Re-start calculation, burnup at EOL of base-irradiation calculation is taken over and added to the initial burnup of Re-start input file.
1
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3.3.4 Variables taken over and those not taken over in Re-start calculation
In performing Re-start calculation in FEMAXI-7, the following variables are taken over
from Base calculation to Re-start calculation. They are explained in 6 groups classification.
(1) Input variables given in fixed formats Variables given in fixed formats in input file of Base calculation are taken over to Re-start
calculation. Accordingly, fuel rod geometry except the designated axial segments is taken over.
The other variables given in fixed formats, e.g. coolant condition, in the input file of Restart
calculation are also effective in Restart calculation. Variables in fixed formats taken over in
Re-start calculation are listed in Table 3.3.2. Here, the number of axial segments and IFEM
number for the objective segment are taken over as conditions of Base calculation to Re-start
calculation.
Table 3.3.2 Variables in fixed formats taken over to Restart calculation
Name Content Name Content NAX Number of axial segments ENR U-235 enrichment (-) IFEM Number of objective segment FDENI Pellet theoretical density ratio (-)
MRASA Cladding material DZ Axial length of segment (cm) CDIN Cladding inner radius (cm) DISH Dish diameter (cm)
CDOUT Cladding outer radius (cm) DEPTH Dish depth (cm) IDISH Pellet dish specification DISHB Dish bottom circle diameter (cm) ICHAM Pellet chamfer specification PLENUM Plenum volume (cm3) PDIN Pellet center hole diameter (cm) GPIN Initial plenum gas pressure (MPa) PDIA Pellet diameter (cm) GMIXO Initial plenum gas composition (-)
PLENG Pellet length (cm) PWEIT Pellet total weight (g) CHAMR Chamfer width (cm) CHAMZ Chamfer depth (cm)
(2) Name-list input variables (parameters) Table 3.3.3. lists the name-list variables taken over from Base- to Re-start calculation. Warning It is to be noted that if even one of these name-list variables (parameters) is
written in Re-start input file, Re-start calculation never starts. This is to circumvent the following situation: if the same name-list variables as those used in Base calculation input file are explicitly written in Re-start input file with the different values from those in Base calculation, or if some of the name-list variables are not written in Base calculation input file and are accepted as their default values in Base calculation while these name-list are explicitly written in Re-start input file with the different values from those in Base calculation,
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FEMAXI neglects these values which are explicitly written in Re-start input file and takes over the values stored in Re-start file, **.ft11. Here, if users are not aware of this rule of Re-start calculation and have a false sense that Re-start calculation is performed with the parameter values written explicitly in Re-start input file, the users will have inevitably a misunderstanding that the calculated results are obtained under the explicitly written values of parameters in Re-start input file. This is a problem to be avoided, so that the name-list input variables (parameters) listed in Table 3.3.3 must not be written in Re-start input file.
Table 3.3.3 Name-list parameters and variables taken over from Base- to Restart calculation
(1/2) Name Content
PU PuO2 weight fraction (-) PUFIS Weight ratio of fissile Pu to total Pu(-)
AZ1 Ratio of length of element in the axial direction of half a pellet in the 2-D local mechanical analysis
ZR Zr-liner thickness (cm)
K1 Number of elements in the axial direction of half a pellet in the 2-D local mechanical analysis
ISHAPE Type of finite element used in the 2-D local mechanical analysis GD Gd2O3 concentration (wt. fraction.) DMAX Maximum fraction of volumetric shrinkage by densification (%) SBU Burnup of 90% completion of densification (MWd/tUO2) TDNSF Pellet sintering temperature (K) GG Grain radius after heat treatment (m) GG0 Grain radius before heat treatment (m) SITIM Heat treatment time (hour) ADST Densification tuning factor A1 A1 in the swelling rate equation when IFSWEL=4. C1 C1 in the swelling rate equation when IFSWEL=4. BU1 BU1 in the swelling rate equation when IFSWEL=4. A2 A2 in the swelling rate equation when IFSWEL=4. SWSLD Factor to multiply the solid swelling rate 0.25% per 10E20 fission/cm3 RF Grain boundary gas bubble threshold radius (cm) FBCOV Fraction of grain boundary coverage by grain boundary lenticular gas bubbles CATEXF Axial growth factor fz in cladding irradiation growth equation COLDW Cladding cold work CW RX Multiplication factor for cladding irradiation growth rate GR Initial grain diameter of pellet (μm)
DD1 Adjustment factor for DMAX used in the merged model of densification and swelling.
ALD Adjustment factor for α used in the merged model of densification and swelling.
BU0 Baseline burnup used in the merged model of densification and swelling. IFEMRD Option to activate 2-D local mechanical analysis
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Table 3.3.3 Name-list parameters and variables taken over from Base- to Restart calculation
(2/2) Name Content
LBU Option to use local burnup in burnup-dependent models MESH Option to select the number of pellet ring elements IDENSF Option to select pellet densification models IFSWEL Option to select pellet swelling models IGASP Option to select fission gas release model ICAGRW Option to select cladding irradiation growth model IRIM Option for additional FGR from high burnup structure DENSWL Option to activate the merged model of densification and swelling. HBS Option to select the high burnup structure model RIMSWL Option for swelling model of high burnup structure NODEG Number of elements inside grain in fission gas diffusion model NODEH Number of elements inside grain in He gas diffusion model OXTHIFEM) Initial oxide thickness of the objective segment (μm)
(3) Variables associated with the last stage of base irradiation (not name-list input parameters)
The variables which have the calculated values at the last stage of Base-irradiation are listed in Table 3.3.4.
Table 3.3.4 Variables associated with the last stage of base irradiation Name Content
TIME Time (hour) PLHR Baseline linear power (W/cm) PCOOL Coolant pressure (Pa) FAI Fast neutron flux (n/cm2/s) FAIT Fast neutron fluence (n/cm2) BUNPNHIST) Baseline burnup (GJ/kgU)
(4) Variables taken over in thermal analysis (not name-list input parameters)
The variables which have the calculated values in thermal analysis at the last stage of Base-irradiation are listed in Table 3.3.5.
Table 3.3.5 Variables of thermal analysis taken over to Restart calculation (1/5) Name Content
OXTHO Thickness of cladding outer oxide layer including plenum part (μm) OXTH2 Thickness of cladding inner oxide layer including plenum part (μm) CONCH Hydrogen concentration in cladding metallic part (ppm)
CONCO Hydrogen concentration at the previous time step in cladding metallic part (ppm)
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Table 3.3.5 Variables of thermal analysis taken over to Restart calculation (2/5) Name Content
IS Option to have a lower plenum NAX1 Number of segments in the axial direction of rod including plenum parts NPR Number of pellet ring elements in thermal analysis NRP Number of pellet ring elements in entire rod length mechanical analysis NC1 Number of cladding ring element nodes PIN Initial gas pressure in the plenum (Pa) GASPR Plenum gas pressure (Pa) PCOOLI Coolant initial pressure (Pa)
VTPLEN Value of plenum space volume divided by plenum gas temperature (cm3/K)
XMOLO Initial number of moles of gas in plenum (mol) TOTMLO Number of moles of gas in plenum (mol) SUMHRS Number of moles of He (mol) SUMZRS Number of moles of fission gas (mol) FGRX Fission gas release rate (%) PLENLN Plenum length (cm) BU1 Average burnup over one segment (GJ/kgU) BR1F Local burnup (GJ/kgU) COLD Number density of atoms inside grain (at grain node) (atoms/cm3) BO Number of gas atoms in the grain boundary of one grain (atoms) TTALO Number of gas atoms inside grain (atoms) ABAR Radius of grain boundary gas bubble (cm) BBDEN Area number density of grain boundary gas bubbles (bubbles/m2) AOLD Radius of intra-grain gas bubble (cm) ROLD Radius of FEM element node inside grain (cm) RLSD Amount of released fission gas atoms per one grain (atoms) GENED Amount of generated fission gas atoms per one grain (atoms) RFGRO FGR from high burnup structure () GRNS Pellet grain diameter (μm) BBLDO Number density of intra-grain gas bubbles (bubbles/cm3)
AMO Number density of fission gas atoms in intra-grain gas bubbles in pellet (atoms/cm3)
ABLD Number of grain boundary gas bubbles of one grain (bubbles/grain TPOR Fission gas atoms density in the rim structure gas pore (atoms/cm3) RMPOR2 Gas pore swelling in the rim structure () TSWL Swelling by intra- and grain boundary gas bubbles ()
BNMX Threshold number of area density of gas atoms in grain boundary (atoms/cm2)
BEFFO Effective burnup (GWd/t) XV Rim transformation fraction in pellet (-) FPORE Fraction of fission gas atoms moved to rim gas pores (-) OPR Fraction of open porosity (-) RFGB Threshold radius of grain boundary bubble (cm)
P1 Internal pressure of intra-grain gas bubble and external pressure on the intra-grain bubble (dyne/cm2)
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Table 3.3.5 Variables of thermal analysis taken over to Restart calculation (3/5) Name Content
P2 Internal pressure of intra-grain gas bubble and external pressure on the grain boundary bubble (dyne/cm2)
TMDAT3(47,*) Volumetric strain induced by intra-grain gas bubbles (%) TMDAT3(49,*) Volumetric strain induced by grain boundary gas bubbles (%)
TMDAT3(85,*) Number of generated fission gas atoms per unit volume of fuel (atoms/cm3)
TMDAT3(87,*) Number of generated fission gas atoms inside grain per unit volume of fuel grain (atoms/cm3)
TMDAT3(88,*) Number of generated fission gas atoms in intra-grain gas bubbles per unit volume of fuel (atoms/cm3)
TMDAT3(89,*) Number of intra-grain gas bubbles per unit volume of fuel (bubbles/cm3) TMDAT3(90,*) Number of fission gas atoms per unit area of grain boundary(atoms/cm2)
TMDAT3(91,*) Saturation (threshold) number of fission gas atoms per unit area of grain boundary (atoms/cm2)
TMDAT3(92,*) Number of gas bubbles per unit area of grain boundary (bubbles/cm2) TMDAT3(93,*) Covering fraction of grain boundary by grain boundary gas bubbles () TMDAT3(94,*) Saturation (threshold) radius of grain boundary gas bubbles (μm) RCII Initial inner radius of cladding (cm) RPOI Initial outer radius of pellet (cm) RPII Initial inner radius of pellet (cm) RCI Cladding inner radius (cm) RPO Outer radius of pellet (cm) RPI Inner radius of pellet (cm) TPSTG1 Pellet center temperature (K) CF Pellet-clad contact pressure (Pa) GAPI Initial gap width of pellet-clad (cm) GAP Pellet-clad gap width (cm) GAPO Pellet-clad gap width of previous time step (cm) GAPOO Array to store pellet-clad gap size data (cm) GHOT Pellet-clad gap width at hot stand-by (cm) TCSUF Temperature at the outer oxide surface of cladding (K) TPP1 Pellet temperature used in thermal analysis (K) TP1 Pellet temperature used in entire rod length mechanical analysis (K) TC Cladding temperature (K) TCO Pellet center temperature at previous time step (K) TC Pellet center temperature (K) PGAS1 Amount of generated fission gas atoms (mol/cm) RGAS1 Amount of released fission gas (mol/cm) SIGM1 Pressure on grain boundary gas bubble (Pa) SIGA1 Pellet average internal stress (Pa) YS1 Pellet yield stress (Pa) GMIX Gap gas composition (-) GMIXO Initial gap gas composition (-) SOSW Solid swelling strain of pellet (-) URSW Gas bubble swelling strain of pellet (-) SUMSWO Radial displacement of pellet induced by swelling (cm)
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Table 3.3.5 Variables of thermal analysis taken over to Restart calculation (4/5) Name Content
SUMUSO Gas bubble swelling displacement of pellet at previous time step (cm) SUMUSW Gas bubble swelling displacement of pellet (cm) VGAP Space volume of P-C gap (cm3/cm) VHOL Space volume of inner hole of pellet (cm3/cm)
VFORM Space volumes associated with pellet shape such as dish, chamfer, pellet tilting, etc. (cm3/cm)
SUMV Free space volume/ temperature inside fuel rod (cm3/K) VOL Volume of active length part of fuel rod including internal space (m3) TPA Temperature of internal region of fuel rod (K) GMD Gas molar density at each axial segment (mol/m3) (=1;He=2;Xe) TMOL1 Molar number of gas at each axial segment (mol) (=1;He=2;Xe)
DZX Length of axial segment (cm) (including upper and lower plenum region)
POWER Linear heat rate (W/cm) AFIS Fission density (fissions/cm3-s) AFAI Fast neutron flux (n/cm2-s) AFAIT Fast neutron fluence (n/cm2) TEMP Fuel( pellet, cladding) temperature (K) PEX Displacement of pellet by thermal expansion (cm) PCR Displacement of pellet by creep (cm) PDN Displacement of pellet by densification (cm) PSW Displacement of pellet by swelling (cm) PRL Displacement of pellet by relocation (cm) PDS Total displacement of pellet (cm) CEX Displacement of cladding by thermal expansion (cm) CEL Elastic displacement of cladding (cm) CCR Creep displacement of cladding (cm) CDS Total displacement of cladding (cm) CFM Pellet-clad contact pressure (Pa) GAPX Pellet-clad gap width (cm)
PAS Displacement of pellet in the axial direction in the entire rod length mechanical analysis (cm)
CAS Displacement of cladding in the axial direction in the entire rod length mechanical analysis (cm)
SHFC Surface heat flux of cladding (W/cm2) SUCRP Creep displacement of pellet (cm) CCRP Creep strain displacement of cladding inner surface (cm) CCRPE Creep strain of cladding inner surface in the hoop direction (-) BD P-C bonding progress (hourMPa) BDO P-C bonding progress at previous time step (hourMPa) FDEN Pellet relative density (-)
ICLS Flag to indicate if the grain boundary bubble has made tunneling or not (=0:tunneling, =1:not tunneling)
IGB Number of repetition of coalescence and closure of grain boundary bubbles when the bubbles make tunneling
RCIC Initial inner radius of cladding (cm)
JAEA-Data/Code 2013-009
- 37 -
Table 3.3.5 Variables of thermal analysis taken over to Restart calculation (5/5) Name Content
RPIC Initial inner radius of pellet (cm) RPOC Initial outer radius of pellet (cm)
VCRC Relocation-induced space volume inside pellet at previous time step (cm3/cm)
VCRCN Relocation-induced space volume inside pellet at current time step (cm3/cm)
NPH Number of outermost element node for He release model FT Effective fluence of fast neutron (n/m2) CW Cladding cold work (-) CTEMP Cladding temperature (K) RTEMP Cladding temperature changing rate (K/s) NPH Number of outermost mesh of fuel grain in He gas release model GASHE He gas partial pressure inside fuel rod (Pa) GASHEA He gas equilibrium pressure (Pa) TMLHE1 Molar number of He inside rod at previous time step (mol) TMLHE2 Molar number of He inside rod at current time step (mol) VOLHE Volume of He inside rod (cm3) HEDEN Concentration of He inside rod (atoms/cm3) RHOLD Nodal point radius inside grain for He diffusion calculation (cm) RHP Nodal coordinate values for He diffusion calculation (cm) HEOLD Number density of He in each nodal point inside grain (atoms/cm3) THALO Number of He atoms per one grain at previous time step (atoms) VOLM FEM element volume of pellet (cm3) GENEH Number of He atoms generated per one grain (atoms) DH0S Stored region of in-grain He diffusion coefficient (cm2/s) DAH0S Stored region of in-grain He effective diffusion coefficient (cm2/s) DBH0S Stored region of grain boundary He diffusion coefficient (cm2/s) PGRH He generation rate at previous time step (atoms/cm3-s PGRH2 He generation rate at current time step (atoms/cm3-s
HEATM0 Initial numbers of generated He atoms in each ring element, He atoms inside grain, and He atoms at grain boundary (atoms)
HEATM Numbers of generated He atoms in each ring element, He atoms inside grain, and He atoms at grain boundary (atoms)
HEMOL0 Numbers of moles of generated He in each segment, inside grain, and at grain boundary at the beginning of time step (mol)
HEMOL1 Numbers of moles of generated He in each segment, inside grain, and at grain boundary at previous time step (mol)
HEGENE He generation density (atoms/cm3)
HEATMB Number of He atoms in the inside and outside regions of pellet at each segment (atoms)
HEATMB0 Initial number of He atoms in the inside and outside regions of pellet at each segment (atoms)
(5) Variables taken over in entire rod length (1-D) mechanical analysis (not name-list input parameters)
The variables which have the calculated values in the 1-D Entire Rod Length mechanical
JAEA-Data/Code 2013-009
- 38 -
analysis at the last stage of Base-irradiation are listed in Table 3.3.6. Table 3.3.6 Variables taken over in ERL mechanical analysis (1/2)
Name Contents NR Number of elements in the radial direction of pellet and cladding KUNTS Counts of total time steps TEMPUO Upper plenum gas temperature at previous time step (K) TEMPLO Lower plenum gas temperature at previous time step (K) TBO Initial plenum gas temperature (K) TIMEOS Time at previous time step (hr) DTIMBS Time step increment at previous time step (hr) VS Fuel rod axial elongation (m) TEMPUS Upper plenum gas temperature at current time step (K) DTMPUS Upper plenum gas temperature increment (K) TEMPLS Lower plenum gas temperature at current time step (K) DTMPLS Lower plenum gas temperature increment (K) DTBOUS Difference between upper plenum gas temperature and room temperature (K) DTBOLS Difference between lower plenum gas temperature and room temperature (K) ALTSUS Thermal expansion strain of upper plenum spring (-) ALTCUS Thermal expansion strain of cladding of upper plenum (-) FWGZS Force imposed on the top end plane of upper plenum (N) FLZPS Force on lower plenum spring (N) FLZCS Force on cladding of lower plenum (N) FUZPS Upper plenum spring force (N) FUZCS Force on cladding of upper plenum (N) EPSR Relocation parameter EPSRR Relocation strain in the radial direction EPSRT Relocation strain in the circumferential direction PWEROS Linear heat rate (W/cm) BUS Segment average burnup (GJ/kgU) FISO Fission density (fiss./cm3-s) FAIS Fast neutron flux (n/cm2-s) FAITS Fast neutron fluence (n/cm2) DFAIS Fast neutron flux increment (n/cm2-s) DFAITS Fast neutron fluence increment (n/cm2) BR1S Local burnup (GJ/kgU) TEMPS Fuel temperature (K) DTEMPS Fuel temperature increment(K)
ICONTS P-C contact state(=0:open gap, =1:pellet-clad bonded, =2:pellet-clad sliding, =3: open gap but axial elongation is restricted by adjacent segment.
FPRS P-C contact pressure (Pa) GAPS P-C gap width (cm) SWELS Swelling strain of pellet (-) EPSHTS Creep hardening strain at which Pugh’s reversal occurs (-) EPSDNS Densification strain of pellet (-) PMS Direction of creep flow (=1.0tensile, =0.0compressive)
IREVS In creep calculation of cladding, =1 for adoption of Pugh’s reversal, =0 for non-adoption.
JAEA-Data/Code 2013-009
- 39 -
Table 3.3.6 Variables taken over in ERL mechanical analysis (2/2) Name Contents
SIGES Equivalent stress (Pa) SIGEBS Equivalent stress at previous time step (Pa) SIGYS Yield stress (Pa) EPSPS Equivalent plastic strain (-) EPSHPS Hot-pressing strain (-) EYNGS Young’s modulus (Pa) EYNGBS Young’s modulus at previous time step (Pa) US Node displacement (m) EPSTHS Thermal expansion strain (-) EPSCPS Creep strain at which Pugh’s tensile reversal occurs (-) EPSCMS Creep strain at which Pugh’s compressive reversal occurs (-) SIGS Stress (Pa) EPSCS Creep strain (-) EPSCBS Creep strain at previous time step (-) EPSHS Creep hardening strain (-) EPSS Total strain (-) EPSPVS Plastic strain (-) EPSES Elastic strain (-) EPSRLS Relocation strain (-) EPSDSS Densification + swelling strain (-) RS Ring element nodal coordinate value in the radial direction (m) IBD Flag to indicate P-C bonding state
(6) Variables taken over in 2-D local mechanical analysis when IFEMRD=0 (not name-list input parameters)
The variables which have the calculated values in the 2-D local mechanical analysis at the last stage of Base-irradiation are listed in Table 3.3.7. Table 3.3.7 Variables taken over in 2-D local mechanical analysis (1/2)
Name Content NOD2 Number of nodes NELM Number of elements NTEP Number of Gaussian points in the radial direction NRX Number of Gaussian points in the radial direction of pellet elements NRX1 NRX+1 ILOW Number of columns of Gaussian points in the radial direction ICOL Number of layers of Gaussian points in the axial direction NM Number of Gaussian points in the radial direction KL Number of Gaussian points in the axial direction I2 Number of pellet materials (UO2 and MOX) IFX Flag to indicate P-C contact state TEMP2 Temperature at Gaussian point in radial elements (K) EPSO2 Initial strain of element in the radial direction at Gaussian point (-) EPSTH Thermal strain in the radial direction at Gaussian point (-)
JAEA-Data/Code 2013-009
- 40 -
Table 3.3.7 Variables taken over in 2-D local mechanical analysis (2/2) Name Content
EPSTA Thermal strain in the axial direction at Gaussian point (-) SMAX Swelling strain in the radial direction at Gaussian point (-) SWMAXI Swelling strain in the axial direction at Gaussian point (-) GRA1 Pellet grain size at Gaussian point (μm) CFU Pellet-clad contact pressure (Pa) CFV Pellet-clad frictional force in the axial direction (Pa) DELGP Pellet-clad radial gap size (cm) GAPGPX Distance between the contact pair of pellet and cladding (cm) SGN Direction of sliding VMU Frictional coefficient between pellet and cladding (-) NCNTB Table of variables of contact pairs composing gap element IALB Flag of contact state at pellet boundary NSO Contact state of the contact pair of pellet and cladding SBPON Contact force at the interface of one pellet and another (N) TU Nodal displacement (cm) XY0 Initial coordinates of nodal points (cm) EPSP Plastic strain of Gaussian point in the element (-) EPSE Elastic strain of Gaussian point in the element (-) EPSR Relocation strain of Gaussian point in the element (-) ZLOCA Information table of stress/strain etc. at Gaussian points of elements IEP Flag to indicate elastic-plastic state (=0: elastic state, =1:plastic state) IRV Yes/No flag of cladding creep reversal EPSRLI Initial relocation strains in the radial and circumferential directions of pellet (-) EPSRL Relocation strain of pellet at current time step (-) EPSGRS Upper limit of gas bubble swelling strain of pellet (-) ALC Coordinate value at the top of pellet when locking occurs (cm) EPSSWL Swelling strain of pellet (-) EPSSWS Solid swelling strain of pellet (-) EPSSWU Bubble gas swelling strain of pellet (-) EPSDEN Densification strain of pellet (-) EPSDNY Densification strain component of pellet (-) EPSSWY Swelling strain component of pellet (-) IPLIN Table of information to make shape map in 2-D mechanical analysis
IPELM Table of element number and its corresponding nodal number in 2-D mechanical analysis
JAEA-Data/Code 2013-009
3.3.5 Explanations for sample Re-start calculations and method
(1) Explanation is given on the following Basic input data :BBS.d05, which is shown in
Table 3.3.8. Table 3.3.8 Basic input data set
******* BWR-type Rod: BBS Case *******
&INPUT IBUNP=1, IDAY=0, IRH=1, TROOM=295.1, DTPL=0.0, ICORRO=3, PX=99.0,
IPUGH=1, IFLX=-2, INPRD=2, RCORRO=4, DE=5.0, IRIM=1, RFGFAC=1.0,
FRELOC=0.30, EPSRLZ=5.D-3, IFSNT=2, IGRAIN=0, GR=6.4, GRWF=1.5,
LBU=1, IPRO=0, R1=1.0, R2=1.0, ICAGRW=1, IHOT=1, BETAX=0.002,
ISPH=1, ICFL=1, IROD=0,
ITIME(1)=10, GASPRN(1)=0.641, PLENM(1)=8, GMIXN(1,1)=1.0, 0., 0., 0.,
IFEMRD=0, IFEMOP=2, IDSELM=1, IDENSF=0, DMAX=5*2.0, FDENSF=0,
IPEXT=14, IDCNST=1, AM1=4., IPTHCN=17, RF=5.E-5, IFSWEL=1, A1=0.08,
IBOND=0, IGAPCN=5, BDX=100000., ALBD=0.7, FBONDG=10., SBONDG=0.01,
MAT3=2, FACT2=0.1, 0.1, 0.1, 100., 0.1, ICONV2=5, ICPLAS=2,
ICHK=10*0, DDSIGE=100., CRPEQ=0, CRFAC=1.0, IPCRP=2, FCRFAC=1.0,
IPTHEX=3, ATHEX=3.561D-6, IRM=0, MESH=3, MOXP=0, IPLYG=1, IZYG=1,
TCS=1273.15, IZOX=1, IST=1, ITEND=1, DDSIGE2=100., DLSIGE2=100., EFCOEF=0.1,
IPRINT=1,1,0,0,1, IPLOPT=1, DPBU=100.,
IWTHE=1,0,0,1,9*0,1,3*0, 3*1, IWROD(1)=3*0, 8*0, 3*0, 0,0,0,1,0,0,
&END
1.11 0.03 0
119
0.9853 1.0044 1.0044 1.0085 0.9974 8
24 300.0 2.0E+13
3560 300.0 2.0E+13
3560.1 220 1.210E+13
6560.0 220 1.210E+13
6560.1 175.8 9.669E+12
9997 175.8 9.669E+12
10000 0 0 298.15 0.1 1 4
0.9853 1.0044 1.0044 1.0085 0.9974
10001.20 0 0 298.15 0.1 1 4
0.9853 1.0044 1.0044 1.0085 0.9974
10001.40 2 1.5E+13 298.15 7.2 1 4
1.039 1.026 1.017 0.986 0.932 106



1.039 1.026 1.017 0.986 0.932 3
10076.00 0 1.5E+13 560.95 7.2 1 4
10076.10 0 1.5E+00 298.15 0.1 1 0
STOP
(2) Base-calculation data before Re-start calculation (BBS.d05) As shown in Table 3.3.9, Base calculation data are composed by the irradiation history
data. It is important to designate “IREST=4”. This case is run with IFEMRD=0 which
designates the 2-D local PCMI analysis concurrently with the 1-D entire rod length
mechanical analysis. When “IFEMRD=0” is taken over to Re-start calculation, both 1-D and
2-D mechanical analyses are performed.
In this case, no designations are given to ITIME(1)=10, GASPRN(1)=0.641,
PLENM(1)=8, and GMIXN(1,1)=1.0, 0., 0., 0., . Execution with “Table 3.3.9 file” results in a Re-start file BBS.d11.
Table3.3.9 Base calculation input data before Restart calculation
******* BWR-type Rod: BBS Case *******
&INPUT IBUNP=1, IDAY=0, IRH=1, TROOM=295.1, DTPL=0.0, ICORRO=3, PX=99.0,
IPUGH=1, IFLX=-2, INPRD=2, RCORRO=4, DE=5.0,
IRIM=1, RFGFAC=1.0, FRELOC=0.30, EPSRLZ=5.D-3, IFSNT=2,
IGRAIN=0, GR=6.4, GRWF=1.5, LBU=1, IPRO=0, R1=1.0, R2=1.0, ICAGRW=1,
IHOT=1, BETAX=0.002, ISPH=1, ICFL=1, IROD=0,
IFEMRD=0, IFEMOP=2, IDSELM=1, IDENSF=0, DMAX=5*2.0, FDENSF=0,
IPEXT=14, IDCNST=1, AM1=4., IPTHCN=17, RF=5.E-5, IFSWEL=1, A1=0.08,
IBOND=0, IGAPCN=5, BDX=100000., ALBD=0.7, FBONDG=10., SBONDG=0.01,
MAT3=2, FACT2=0.1, 0.1, 0.1, 100., 0.1, ICONV2=5, ICPLAS=2,
ICHK=10*0, DDSIGE=100.,
CRPEQ=0, CRFAC=1.0, IPCRP=2, FCRFAC=1.0, IPTHEX=3, ATHEX=3.561D-6,
IRM=0, MESH=3, MOXP=0, IPLYG=1, IZYG=1, TCS=1273.15, IZOX=1, IST=1,
ITEND=1, IREST=4, DDSIGE2=100., DLSIGE2=100., EFCOEF=0.1,
IPRINT=1,1,0,0,1, IPLOPT=1, DPBU=100.,
IWTHE=1,0,0,1,9*0,1,3*0, 3*1, IWROD(1)=3*0, 8*0, 3*0, 0,0,0,1,0,0,
&END
1.11 0.03 0
9
0.9853 1.0044 1.0044 1.0085 0.9974 8
24 300.0 2.0E+13
3560 300.0 2.0E+13
3560.1 220 1.210E+13
6560.0 220 1.210E+13
6560.1 175.8 9.669E+12
9997 175.8 9.669E+12
10000 0 0 298.15 0.1 1 4
0.9853 1.0044 1.0044 1.0085 0.9974
STOP
- 43 -
(3) Sample test irradiation data in Re-start calculation: A) A sample test irradiation data for Re-start calculation is shown in Table 3.3.10 as BBSr.d05. This case does not explicitly designates the 2-D mechanical analysis but performes both the 1-D and 2-D analyses. It is important to set IRTIME=0 to perform Re-start calculation with continuous time from Base calculation. At the beginning stage of Re-start calculation, it is important to specify a new set of values of plenum volume, gas pressure and gas composition: ITIME(1)=1, GASPRN(1)=0.641, PLENM(1)=8, and GMIXN(1,1)=1.0, 0., 0., 0., Also, it is important to set “IREST=5” to perform Re-start calculation. In Table 3.3.10, TRSGT=1,5 is set, so that this is a normal Re-start calculation. In other words, number of axial segments is 5, which is identical to that of the Base calculation and performs calculation for axial segments 1 to 5.
Table 3.3.10 Test irradiation data for Restart calculation (BBSr.d05)
******* BWR-type Rod: BBS Case *******
&INPUT IBUNP=1, IDAY=0, IRH=1, TROOM=295.1, DTPL=0.0, ICORRO=3, PX=99.0,
IPUGH=1, IFLX=-2, INPRD=2, RCORRO=4, DE=5.0,
RFGFAC=1.0, FRELOC=0.30, EPSRLZ=5.D-3, IFSNT=2,
IGRAIN=0, GRWF=1.5, IPRO=0, R1=1.0, R2=1.0,
IHOT=1, BETAX=0.002, ISPH=1, ICFL=1, IROD=0,
ITIME(1)=1, GASPRN(1)=0.641, PLENM(1)=8, GMIXN(1,1)=1.0, 0., 0., 0.,
IFEMOP=2, IDSELM=1, FDENSF=0,
IPEXT=14, IDCNST=1, AM1=4., IPTHCN=17, A1=0.08,
IBOND=0, IGAPCN=5, BDX=100000., ALBD=0.7, FBONDG=10., SBONDG=0.01,
MAT3=2, FACT2=0.1, 0.1, 0.1, 100., 0.1, ICONV2=5, ICPLAS=2,
ICHK=10*0, DDSIGE=100.,
CRPEQ=0, CRFAC=1.0, IPCRP=2, FCRFAC=1.0, IPTHEX=3, ATHEX=3.561D-6,
IRM=0, MOXP=0, IPLYG=1, IZYG=1, TCS=1273.15, IZOX=1, IST=1,
ITEND=1, IREST=5, TRSGT=1,5, IWRES=0, IRTIME=0,
DDSIGE2=100., DLSIGE2=100., EFCOEF=0.1,
IPRINT=1,1,0,0,1, IPLOPT=1, DPBU=100.,
IWTHE=1,0,0,1,9*0,1,3*0, 3*1, IWROD(1)=3*0, 8*0, 3*0, 0,0,0,1,0,0,
&END
1.11 0.03 0
110
0.9853 1.0044 1.0044 1.0085 0.9974
10001.40 2 1.5E+13 298.15 7.2 1 4
1.039 1.026 1.017 0.986 0.932 106



1.039 1.026 1.017 0.986 0.932 3
10076.00 0 1.5E+13 560.95 7.2 1 4
10076.10 0 1.5E+00 298.15 0.1 1 0
STOP
- 44 -
B) Next, an example having “IRTIME=1” is shown in Table 3.3.11 as BSq.d05. It is
important to set IRTIME=1 to perform Re-start calculation with a new time which starts at the
beginning of Re-start calculation. Similarly to Table 3.3.10, at the beginning stage of
Re-start calculation, it is important to specify a new set of values of plenum volume, gas
pressure and gas composition. Also, Re-start calculation requires IREST=5. In Table 3.3.11,
TRSGT=1, 5 is set, just like Table 3.3.10, and a normal Re-start calculation is performed for
the segments 1 to 5.
Table3.3.11 Test irradiation data for Restart calculation (BSq.d05)
******* BWR-type Rod: BBS Case *******
&INPUT IBUNP=1, IDAY=0, IRH=1, TROOM=295.1, DTPL=0.0, ICORRO=3, PX=99.0,
IPUGH=1, IFLX=-2, INPRD=2, RCORRO=4, DE=5.0,
IRIM=1, RFGFAC=1.0, FRELOC=0.30, EPSRLZ=5.D-3, IFSNT=2,
IGRAIN=0, GRWF=1.5, IPRO=0, R1=1.0, R2=1.0,
IHOT=1, BETAX=0.002, ISPH=1, ICFL=1, IROD=0,
ITIME(1)=1,
IFEMOP=2, IDSELM=1, FDENSF=0,
IPEXT=14, IDCNST=1, AM1=4., IPTHCN=17, A1=0.08,
IBOND=0, IGAPCN=5, BDX=100000., ALBD=0.7, FBONDG=10., SBONDG=0.01,
MAT3=2, FACT2=0.1, 0.1, 0.1, 100., 0.1, ICONV2=5, ICPLAS=2,
ICHK=10*0, DDSIGE=100.,
CRPEQ=0, CRFAC=1.0, IPCRP=2, FCRFAC=1.0, IPTHEX=3, ATHEX=3.561D-6,
IRM=0, MOXP=0, IPLYG=1, IZYG=1, TCS=1273.15, IZOX=1, IST=1,
ITEND=1, IREST=5, TRSGT=1,5, IWRES=0, IRTIME=1,
DDSIGE2=100., DLSIGE2=100., EFCOEF=0.1,
IPRINT=1,1,0,0,1, IPLOPT=1, DPBU=100.,
IWTHE=1,0,0,1,9*0,1,3*0, 3*1, IWROD(1)=3*0, 8*0, 3*0, 0,0,0,1,0,0,
&END
1.11 0.03 0
110
0.9853 1.0044 1.0044 1.0085 0.9974
1.40 2 1.5E+13 298.15 7.2 1 4
1.039 1.026 1.017 0.986 0.932 106



1.039 1.026 1.017 0.986 0.932 3
76.00 0 1.5E+13 560.95 7.2 1 4
76.10 0 1.5E+00 298.15 0.1 1 0
STOP
- 45 -
C) Next, an example of input data of Re-start calculation for a short segment rod is shown in
Tables 3.3.12. Table 3.3.12 is the case where the third segment is used as a short test rod. In
this case, “IREST=5” and “TRSGT=3” are specified in the input file of Re-start calculation.
Since this specifies one axial segment geometry, the input data is required to match the
one-segment geometry. In line with this, modification of relative distribution of linear power
in the axial direction is required. Also, change of the objective segment No. (IFEM) is
required for the 2-D local mechanical analysis. It is important that IFEM (=3) which has been
specified in Base calculation be included in the range of TRSGT. Similarly to Table 3.3.10, at
the beginning stage of Re-start calculation, it is important to specify a new set of values of
plenum volume, gas pressure and gas composition.
Table3.3.12 Test irradiation data for Restart calculation (IBBSu.d05)
******* BWR-type Rod: BBS Case *******
&INPUT IBUNP=1, IDAY=0, IRH=1, TROOM=295.1, DTPL=0.0, ICORRO=3, PX=99.0,
IPUGH=1, IFLX=-2, INPRD=2, RCORRO=4, DE=5.0,
IRIM=1, RFGFAC=1.0, FRELOC=0.30, EPSRLZ=5.D-3, IFSNT=2,
IGRAIN=0, GRWF=1.5, IPRO=0, R1=1.0, R2=1.0,
IHOT=1, BETAX=0.002, ISPH=1, ICFL=1, IROD=0,
ITIME(1)=1, GASPRN(1)=0.641, PLENM(1)=2, GMIXN(1,1)=1.0, 0., 0., 0.,
IFEMOP=2, IDSELM=1, FDENSF=0,
IPEXT=14, IDCNST=1, AM1=4., IPTHCN=17, A1=0.08,
IBOND=0, IGAPCN=5, BDX=100000., ALBD=0.7, FBONDG=10., SBONDG=0.01,
MAT3=2, FACT2=0.1, 0.1, 0.1, 100., 0.1, ICONV2=5, ICPLAS=2,
ICHK=10*0, DDSIGE=100.,
CRPEQ=0, CRFAC=1.0, IPCRP=2, FCRFAC=1.0, IPTHEX=3, ATHEX=3.561D-6,
IRM=0, MOXP=0, IPLYG=1, IZYG=1, TCS=1273.15, IZOX=1, IST=1,
ITEND=1, IREST=5, TRSGT=3, IWRES=0, IRTIME=0,
DDSIGE2=100., DLSIGE2=100., EFCOEF=0.1,
IPRINT=1,1,0,0,1, IPLOPT=1, DPBU=100.,
IWTHE=1,0,0,1,9*0,1,3*0, 3*1, IWROD(1)=3*0, 8*0, 3*0, 0,0,0,1,0,0,
&END
1.11 0.03 0
110
1.0044
1.017 106
1.017 3
STOP
- 46 -
D) Next, another example is shown in Table 3.3.13 in which the 2nd, 3rd and 4th segments are fabricated into a short test rod. In this case, “IREST=5” and “TRSGT=2, 4” are set in the input file. Accordingly, this case has three axial-segment geometry, so that the input data is required to match the three-segment geometry. In line with this, modification of relative distribution of linear power in the axial direction is required. Also, change of the objective segment No. (IFEM) is required for the 2-D local mechanical analysis. Specifically, since the Base calculation has “IFEM=3”, the Re-start calculation with IFEM=2 should be set, because IFEM=3 denotes the second segment in TRSGT range “2, 3, 4”. Similarly to Table 3.3.10, at the beginning stage of Re-start calculation, it is important to specify a new set of values of plenum volume, gas pressure and gas composition.
Table 3.3.13 Test irradiation data for Restart calculation (BBSv.d05)
******* BWR-type Rod: BBS Case *******
&INPUT IBUNP=1, IDAY=0, IRH=1, TROOM=295.1, DTPL=0.0, ICORRO=3, PX=99.0,
IPUGH=1, IFLX=-2, INPRD=2, RCORRO=4, DE=5.0,
IRIM=1, RFGFAC=1.0, FRELOC=0.30, EPSRLZ=5.D-3, IFSNT=2,
IGRAIN=0, GRWF=1.5, IPRO=0, R1=1.0, R2=1.0,
IHOT=1, BETAX=0.002, ISPH=1, ICFL=1, IROD=0,
ITIME(1)=1, GASPRN(1)=0.641, PLENM(1)=5, GMIXN(1,1)=1.0, 0., 0., 0.,
IFEMOP=2, IDSELM=1, FDENSF=0,
IPEXT=14, IDCNST=1, AM1=4., IPTHCN=17, A1=0.08,
IBOND=0, IGAPCN=5, BDX=100000., ALBD=0.7, FBONDG=10., SBONDG=0.01,
MAT3=2, FACT2=0.1, 0.1, 0.1, 100., 0.1, ICONV2=5, ICPLAS=2,
ICHK=10*0, DDSIGE=100.,
CRPEQ=0, CRFAC=1.0, IPCRP=2, FCRFAC=1.0, IPTHEX=3, ATHEX=3.561D-6,
IRM=0, MOXP=0, IPLYG=1, IZYG=1, TCS=1273.15, IZOX=1, IST=1,
ITEND=1, IREST=5, TRSGT=2,4, IWRES=0, IRTIME=0,
DDSIGE2=100., DLSIGE2=100., EFCOEF=0.1,
IPRINT=1,1,0,0,1, IPLOPT=1, DPBU=100.,
IWTHE=1,0,0,1,9*0,1,3*0, 3*1, IWROD(1)=3*0, 8*0, 3*0, 0,0,0,1,0,0,
&END
1.11 0.03 0
110
1.0044 1.0044 1.0085
1.026 1.017 0.986 106
1.026 1.017 0.986 3
STOP
- 47 -
(4) Method to perform Re-start calculation The *.ft11 file taken over to Re-start calculation is generated in /Wrk/OUTP as, e.g.,
AA1.ft11, as a result of Base calculation with input file AA.d05.
If the input file name of Re-start calculation is BB.d05, rename AA1.ft11 into BB.ft11, and type after prompt “fem BB 1”. Then FEMAXI-7 reads BB.ft11 and BB.d05,
performs Re-start calculation and generates the output file BB1.out.
3.4 Usage of output of burning analysis code RODBURN-1 In FEMAXI, to take into account the changes of some fission product elements and
power density

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