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Siam Tsunami Propagation Simulator ModelSiam Tsunami Propagation Simulator Model(SiTProS)(SiTProS)
Dr.Wattana KanbuaDr.Wattana Kanbua
Marine Meteorological CenterMarine Meteorological CenterMeteorological Observation and Warning BureauMeteorological Observation and Warning Bureau
Thai Meteorological DepartmentThai Meteorological Department
Mr.Somporn Chuai-AreeMr.Somporn Chuai-Aree
Department of Mathematics and Computer Department of Mathematics and Computer Science, Faculty of Science and Technology, Science, Faculty of Science and Technology,
Prince of Songkla University, Pattani Campus.Prince of Songkla University, Pattani Campus.
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
HeldHeld at the University of Washington in Seattle, Washington (USA) at the University of Washington in Seattle, Washington (USA) , , DDuring July 21- August 2, 2007.uring July 21- August 2, 2007.
The SiTProS ModelThe SiTProS Model and and Numerical SimulationNumerical Simulation
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
HeldHeld at the University of Washington in Seattle, Washington (USA) at the University of Washington in Seattle, Washington (USA) , , DDuring July 21- August 2, 2007.uring July 21- August 2, 2007.
SiTProS ModelSiTProS Model – shallow water equation– shallow water equationSiTProS ModelSiTProS Model – shallow water equation– shallow water equation
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
HeldHeld at the University of Washington in Seattle, Washington (USA) at the University of Washington in Seattle, Washington (USA) , , DDuring July 21- August 2, 2007.uring July 21- August 2, 2007.
SiTProS Model SiTProS Model – 2D grid system– 2D grid systemSiTProS Model SiTProS Model – 2D grid system– 2D grid system
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
HeldHeld at the University of Washington in Seattle, Washington (USA) at the University of Washington in Seattle, Washington (USA) , , DDuring July 21- August 2, 2007.uring July 21- August 2, 2007.
SiTProS Model SiTProS Model – approximation (model 1)– approximation (model 1)SiTProS Model SiTProS Model – approximation (model 1)– approximation (model 1)
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
HeldHeld at the University of Washington in Seattle, Washington (USA) at the University of Washington in Seattle, Washington (USA) , , DDuring July 21- August 2, 2007.uring July 21- August 2, 2007.
SiTProS Model SiTProS Model - - CalculationCalculationSiTProS Model SiTProS Model - - CalculationCalculation
From where u(n+1) may be calculated as:
From where u(n+1) may be calculated as:
1 1, , , 1, , 1, , 1 , , 12
2 2 2
2 2 2
( ) ( ) ( )
n n n n n n n n ni j i j i j i j i j i j i j i j i jU U U U U U U U U
at x y
1 2 1, 1, 1, , 1 , 1 , , ,4 2n n n n n n n ni j i j i j i j i j i j i j i jU C U U U U U U U
.;
a tC h x y
h
Substitute all terms in the wave equation, finally you get the equation 4 when C and h are given below of this page. This equation is for fully wave equation, but the calculation is slower than the previous model of our tsunami generation. The first
program, we ignored the term -4U(n,i,j) and +2U(n,i,j)
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
HeldHeld at the University of Washington in Seattle, Washington (USA) at the University of Washington in Seattle, Washington (USA) , , DDuring July 21- August 2, 2007.uring July 21- August 2, 2007.
Initial Condition
Initial Condition
SiTProS Model SiTProS Model - - CalculationCalculationSiTProS Model SiTProS Model - - CalculationCalculation
1, 0,i jU Ocean
1, 0,i jU Land
1, 0 ,i jU f fault
1, 0 ,
1, ,
,
0,
i j i j
i j i j
U f r R
U r R
R
values at n=1 as the initial conditions
What are the values at n=0? We apply a zero-gradient initial condition
, this means
22 1 1 1, 1, 1, , 1
1 1 1, 1 , ,
(2
4 )
i j i j i j i j
i j i j i j
CU U U U
U U U
substitute this into (4), then we get
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
SiTProS Model SiTProS Model - - CalculationCalculationSiTProS Model SiTProS Model - - CalculationCalculation
Boundary Condition
Boundary Condition
4 boundaries are free (open).
, 1 , 1n ni j i jU U
,0 ,2n ni iU U
0, 2,n nj jU U 1, 1,
n ni j i jU U
1 2, 1, , 1 , 1
1, , ,
1; (2
4 ) 2 ;
n n n ni j i j i j i j
n n ni j i j i j
i U C U U U
U U U
1 2
, 1, , 1 , 1
1, , ,
1; (2
4 ) 2 ;
n n n ni j i j i j i j
n n ni j i j i j
i i U C U U U
U U U
1 2
, 1, 1, , 1
1, , ,
1; ( 2
4 ) 2 ;
n n n ni j i j i j i j
n n ni j i j i j
j U C U U U
U U U
1 2
, 1, 1, , 1
1, , ,
1; ( 2
4 ) 2 ;
n n n ni j i j i j i j
n n ni j i j i j
j j U C U U U
U U U
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
HeldHeld at the University of Washington in Seattle, Washington (USA) at the University of Washington in Seattle, Washington (USA) , , DDuring July 21- August 2, 2007.uring July 21- August 2, 2007.
Algorithm for Wave PropagationAlgorithm for Wave PropagationAlgorithm for Wave PropagationAlgorithm for Wave Propagation
how does this algorithm work? (to save memory)
U[new] U[old] U[new]
1 2 1, 1, 1, , 1 , 1 , , ,4 2n n n n n n n ni j i j i j i j i j i j i j i jU C U U U U U U U
1,ni jU can be assigned to
1,ni jU
for next iteration before calculation.
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
HeldHeld at the University of Washington in Seattle, Washington (USA) at the University of Washington in Seattle, Washington (USA) , , DDuring July 21- August 2, 2007.uring July 21- August 2, 2007.
SiTProS ModelSiTProS Model – approximation (model 2)– approximation (model 2)SiTProS ModelSiTProS Model – approximation (model 2)– approximation (model 2)
(minute)
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
SiTProS Model SiTProS Model – computing grid– computing gridSiTProS Model SiTProS Model – computing grid– computing grid
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
HeldHeld at the University of Washington in Seattle, Washington (USA) at the University of Washington in Seattle, Washington (USA) , , DDuring July 21- August 2, 2007.uring July 21- August 2, 2007.
SiTProS ModelSiTProS Model – fault parameters– fault parametersSiTProS ModelSiTProS Model – fault parameters– fault parameters
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
HeldHeld at the University of Washington in Seattle, Washington (USA) at the University of Washington in Seattle, Washington (USA) , , DDuring July 21- August 2, 2007.uring July 21- August 2, 2007.
SiTProS ModelSiTProS Model - Algorithm- AlgorithmSiTProS ModelSiTProS Model - Algorithm- Algorithm
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
HeldHeld at the University of Washington in Seattle, Washington (USA) at the University of Washington in Seattle, Washington (USA) , , DDuring July 21- August 2, 2007.uring July 21- August 2, 2007.
Results – tsunami propagationResults – tsunami propagationResults – tsunami propagationResults – tsunami propagation
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
Results – tsunami propagationResults – tsunami propagationResults – tsunami propagationResults – tsunami propagation
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
HeldHeld at the University of Washington in Seattle, Washington (USA) at the University of Washington in Seattle, Washington (USA) , , DDuring July 21- August 2, 2007.uring July 21- August 2, 2007.
ConclusionConclusionConclusionConclusion
This paper has introduced the tsunami propagation simulator model which calculated trends to check the model could predict the tsunami arrival times. We have already compared the result of the model with observation time in the case of the December 26, 2004. In general, it was found that the model can predict quite well. The model is already implemented for Tsunami Warning Systems to provide a first estimate of tsunami arrival time.
The SiTProS model has therefore been developed by ourselves, using a fast algorithm for a quick estimate of the tsunami front propagation. We have applied this model to the 26th December event. It shows a very satisfied prediction of the time of the main events.
The trial version of software is available at http://www.schuai.net/SiTProS.
This paper has introduced the tsunami propagation simulator model which calculated trends to check the model could predict the tsunami arrival times. We have already compared the result of the model with observation time in the case of the December 26, 2004. In general, it was found that the model can predict quite well. The model is already implemented for Tsunami Warning Systems to provide a first estimate of tsunami arrival time.
The SiTProS model has therefore been developed by ourselves, using a fast algorithm for a quick estimate of the tsunami front propagation. We have applied this model to the 26th December event. It shows a very satisfied prediction of the time of the main events.
The trial version of software is available at http://www.schuai.net/SiTProS.
TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..
HeldHeld at the University of Washington in Seattle, Washington (USA) at the University of Washington in Seattle, Washington (USA) , , DDuring July 21- August 2, 2007.uring July 21- August 2, 2007.