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Shanghai Jiao Tong University - SJTU

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Microsoft PowerPoint - ACFD-Lecture2016-Note03.pptx
Poisson

1
Tanaka et al. Journal of Computational Physics, 2010, 229(11): 4279-4290.

j i j i
P PDP W n
0 2 ( ) (| |) | |
j i j i
P PDP W n
MPS

2
* 0 2 1
* 0 2 1
Tanaka et al. Journal of Computational Physics, 2010, 229(11): 4279-4290.
Shanghai Jiao Tong University

4
Case A1
Case A2
Case A3
Case A4
A3
6

7
g h L L
MPS * 0 in n


0
j i i j

12
| |F
14
Shanghai Jiao Tong University Case A1 Case A2
Case A4 Case A3
Case A5 Case A6
16
MPS



GPU
19


20
21
Node 0 Node 1 Node 2 Node 3
22
t=0.9 s
n0 n1 n2 n3 n4 n5 n6 n7 n8 n9
_ _ /N proc N total np
_N proc _N total
n0 n1 n2 n3 n4 n5 n6 n7 n8 n9
_ _ /N proc N total np
_N proc _N total


26

27

28
30


ALU
Case 1 Case 2 Case 3 Case 4
49 563 136 059 270 435 742 914
(m) 0.03 0.02 0.015 0.01
35
GPU
ALU

Shanghai Jiao Tong University
Shanghai Jiao Tong University
Coarse 0.005
OPT 0.0025
Fine 0.0025
Overlapping region
Shanghai Jiao Tong University
Multi-resolution MPS The influence domain of particle i contains particles j
but not vice versa if these two interaction particles have
different interaction radiuses.
between two neighbor particles i and j are replaced by
following equations respectively:
ij i

mmn L L
j kj ij
Computational parameters
*H is initial water height

Pressure
*The numerical results are evaluated at the bottom of the probe P1

Shanghai Jiao Tong University
Number of particles
r 0.03 0.02 0.015 0.01


Shanghai Jiao Tong University Case 4 Case 3 Case 2 Case 1
EXP Case 4 SPH Fluent
t /g H
t /g H
H2
H4

P5


PR1 dist from deck=12mm PR2 dist from deck=32mm
Computational model
Number of particles
Computational parameters

Computational parameters
Shanghai Jiao Tong University

Cases α (deg) β (deg) H (m) mass (kg) g (m/s2) ρ (kg/m3) dp
Case1 30 0 0.5 85.375 9.8 1000 0.0125
Case2 30 10 0.5 85.375 9.8 1000 0.0125
Case3 30 20 0.5 85.375 9.8 1000 0.0125
1 m
-10
0
10
20
30
40
50
60
Time(s)
0
10
20
30
40
50
60
70
80
Time(s)
0
10
20
30
40
50
60
Time(s)
Shanghai Jiao Tong University
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 -4
-3.5
-3
-2.5
-2
-1.5
-1
-0.5
0
Time(s)
0.25 m 0.0575 m 4.49 rad/s 0.05 m
Unit: m
Summary report of sloshing model test for rectangular model. Kang DH&Lee YB ,2005.

Comparison of free-surface profiles between experiment and numerical simulation
Summary eport of sloshing model test for rectangular model, Kang DH&Lee YB ,2005.

Shanghai Jiao Tong University
(m) (m) (m) (°) (°) (°) Case A 0.02 0 0 0 0 0 Case B 0 0 0 4 0 0 Case C 0.02 0 0 4 0 0 Case D 0.02 0.02 0.005 4 4 2
The translating motions of excitation are:
sin
sin
sin
sin

Tank Sloshing
Tank Sloshing
MLParticle-SJTU

h=0.08 m
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Shanghai Jiao Tong University 压力振荡产生的原因 压力梯度 压力Poisson方程源项 自由面判断 1
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