+ All Categories
Transcript
Page 1: Shanghai Jiao Tong University - SJTU

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

Page 2: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

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

压力梯度改进方法

'

0 2 ( ) (| |)| |

j ii j i j i

j i j i

P PDP Wn

r r r rr r

0 2 ( ) (| |)| |

j ii j i j i

j i j i

P PDP Wn

r r r rr r

原始MPS方法

改进方法:

2

Page 3: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 压力Poisson方程源项

* 02 1

2 0(1 )

k i

i in n

P Vt t n

* 02 1

2 0

k i

in nP

t n

原始MPS方法

混合源项法:

3

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

Page 4: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 对压力梯度的测试

静水问题

4

液舱几何模型(单位: mm)

Page 5: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University算例 压力梯度 压力Poisson方程源项 自由面判断

Case A1 原始方法 原始方法 原始方法

Case A2 改进方法 原始方法 原始方法

Case A3 原始方法 改进方法 原始方法

Case A4 改进方法 改进方法 原始方法

A3

A1 A2

A4

5

Page 6: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

理论值 Case A1 Case A2Case A3 Case A4

6

Page 7: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 压力振荡现象与缓解方法

剧烈晃荡问题

7

sin( )x a t 液舱运动方式:

0.02 m a ,2 tanhn

g hL L

n , 其中:

液舱几何尺寸(单位:mm)

Page 8: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

实验

Case 1Case 2

8

压力振荡现象与缓解方法

Case 1 Case 2

Page 9: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

9

压力场

自由面粒子

粒子数密度场

流场瞬间

Page 10: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 自由面判断

原始MPS方法中自由面判断准则:* 0 in n

10

其中: 为粒子数密度, 为一个参数, 为初始粒子数密度。0nn

粒子数密度场

Page 11: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 自由面判断

新的自由面判断方法

0

1 ( ) ( )| |i i j ij

j i i j

D Wn

F r r r

r r

表征邻居粒子的不对称性

11

F

Page 12: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 自由面判断

新的自由面判断准则:

12

0| | | |F F i

其中: 是一参数, 等于初始时刻自由面上粒子的 。 0| |F | |F

| |F 粒子数密度场场

Page 13: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

13

原始自由面判断法计算结果

新的自由面判断法计算结果

Page 14: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

算例 压力梯度压力Poisson方

程源项自由面判断

Case A1 原始方法 原始方法 原始方法

Case A2 改进方法 原始方法 原始方法

Case A3 原始方法 改进方法 原始方法

Case A4 原始方法 原始方法 改进方法

Case A5 改进方法 改进方法 原始方法

Case A6 改进方法 改进方法 改进方法

14

Page 15: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

15

Case A1 Case A2 Case A3

Case A4 Case A5 Case A6

Page 16: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University实验 Case A1Case A2

实验 Case A4Case A3

实验 Case A5Case A6

16

Page 17: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

17

算例 压力梯度压力Poisson方程

源项自由面判断

Case A1 原始方法 原始方法 原始方法

Case A2 改进方法 原始方法 原始方法

Case A3 原始方法 改进方法 原始方法

Case A4 原始方法 原始方法 改进方法

Case A5 改进方法 改进方法 原始方法

Case A6 改进方法 改进方法 改进方法

改进的MPS方法

Page 18: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

已有的改进的压力梯度和压力Poisson方程源项能够改善

压力场,但在流动剧烈时改善效果不好

在剧烈流动问题中,自由面误判成为导致压力振荡的重

要因素

本文提出的新的自由面判断方法,能够较大程度地提高

自由面的判断精度

结合新的自由面判断方法、守恒型压力梯度和混合源项

法,构建的改进的MPS方法,较好地抑制了压力振荡现

18

Page 19: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 并行计算及效率分析

并行策略

动态负载平衡

并行性能测试

基于GPU的并行加速

19

Page 20: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 并行策略

粒子分解法

区域分解法

20

Page 21: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 基于背景网格的区域分解法

21

Page 22: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 基于背景网格的区域分解法

Node 0 Node 1 Node 2 Node 3

22

Page 23: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 负载平衡

t=0.9 s

t=0.0 s初始时

一段时间后

23

Page 24: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Node 0 Node 1 Node 2 Node 3

n0 n1 n2 n3 n4 n5 n6 n7 n8 n9

_ _ /N proc N total np

_N proc_N total

np

每个进程中的粒子数

整个计算域的粒子数

进程数

动态负载平衡

其中:

24

Page 25: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Node0 Node1 Node2 Node 3

n0 n1 n2 n3 n4 n5 n6 n7 n8 n9

_ _ /N proc N total np

_N proc_N total

np

每个进程中的粒子数

整个计算域的粒子数

进程数

其中:

动态负载平衡

25

Page 26: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 动态负载平衡

静态负载平衡

动态负载平衡

26

Page 27: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 加速比对比

静态与动态负载平衡时的加速比

27

Page 28: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 并行性能测试

三维溃坝几何尺寸

28

Page 29: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

粒子总数 742 914

测试环境天津国家超算中心

CPU为Intel Xeon 5670

29

Page 30: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 加速比

30

Page 31: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 并行性能分析

每个时间步的计算:

粒子搜寻

压力Poisson方程(PPE)求解

其他步骤

31

Page 32: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 基于GPU的并行加速

ALU

Tesla C1060 结构

32

Page 33: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

CULA的特点:

1. 较高的计算效率

2. 支持多种平台,Linux,Windows和Mac OS

33

Page 34: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

1. 定义一个CULA求解计划

2. 将稀疏矩阵进行压缩,并与求解计划关联

3. 设置求解条件,包括收敛残差、最大迭代次数等参数

4. 在GPU上执行求解计划

5.将GPU上计算结果传回CPU

实现过程

34

Page 35: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University GPU加速比分析

算例 Case 1 Case 2 Case 3 Case 4

粒子总数 49 563 136 059 270 435 742 914

粒子间距 (m) 0.03 0.02 0.015 0.01

35

Spee

d-up

Page 36: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

一种基于背景网格的区域分解法

开发了动态负载平衡功能,获得了较好的并行效率

压力Poisson方程是MPS的并行效率瓶颈

GPU能较好地加速压力Poisson方程求解效率,在MPS的

并行计算中具有很大的潜力

36

Page 37: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Parallel computation

GPU acceleration

Overlapping technique

Multi-resolution technique

Acceleration techniques

加速方法

Page 38: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

GPU acceleration for Poission equation

GPU 加速

Page 39: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong UniversityGPU 加速

ALU

Tesla C1060

Page 40: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Static balance

Dynamic balance

Parallel computation with dynamic load balance

并行计算动态负载平衡技术

Page 41: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University并行计算动态负载平衡技术

Page 42: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Coarse particles

Fine particles

Overlapping region

Overlapping Particle technique

重叠粒子技术

Page 43: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

溃坝波Overlapping region

重叠粒子技术

Page 44: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Overlapping region

重叠粒子技术

Page 45: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University重叠粒子技术

Page 46: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Cases Initial particle space (m)

Coarse 0.005

OPT 0.0025

Fine 0.0025

Overlapping region

重叠粒子技术

波浪在斜坡上破碎过程

Page 47: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

47

Overlapping Region

MLParticle-SJTU

MLParticle-SJTU

重叠粒子技术

Page 48: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Coarse

OPT Fine

OPT

Coarse

Fine

重叠粒子技术

Page 49: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Coarse

OPT Fine

Coarse

OPT Fine

重叠粒子技术

Page 50: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University重叠粒子技术

Page 51: Shanghai Jiao Tong University - SJTU

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.

多分辨率粒子技术

Page 52: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

The cut-off radiuses for particle interaction models

between two neighbor particles i and j are replaced by

following equations respectively:

+2

ei ej

e

r rr

_ _

_

+2

ei lap ej lap

e lap

r rr

_e lapr_e lapr

多分辨率粒子技术

Page 53: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

20

j i jj i j ii

ij i

P P LDP Wn L

r r r r

r r

2

0

2j j

j ii j

j i ijiji

i j

m mL LD W

mmnL L

Modified pressure gradient model and PPE

Where: L is the particle diameter

jkj ij

i j

Lr r

L L

j

e kj e ij

i j

Lr r

L L

iik ij

i j

Lr r

L L

i

e ik e ij

i j

Lr r

L L

多分辨率粒子技术

Page 54: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Computational model

Cases Initial particle space (m) Description

A1 0.005 Single-MPSA2 0.02/0.01/0.005 Multi-MPS

Computational parameters

多分辨率粒子技术

Page 55: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

溃坝波

MLParticle-SJTU

多分辨率粒子技术

Page 56: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Single-MPS

Single-MPS

Multi-MPS

Multi-MPS

Comparisons of dam-break flows at gt H

Comparisons of dam-break flows at gt H

*H is initial water height

多分辨率粒子技术

Page 57: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

P1* P2

Pressure

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

多分辨率粒子技术

Page 58: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Water height

多分辨率粒子技术

Page 59: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Computation time

多分辨率粒子技术

Page 60: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

涌潮波

Page 61: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University涌潮波

Page 62: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Undulation bore flows

Page 63: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Undulation bore flows

Page 64: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Undulation bore flows

Page 65: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

VOF MLParticle-SJTU

Undulation bore flows

Page 66: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Breaking bore flows

Page 67: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Breaking bore flows

Page 68: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Breaking bore flows

Breaking bore flows

Page 69: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

VOF MLParticle-SJTU

Breaking bore flows

Page 70: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

溃坝波

Page 71: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Case 1 Case 2 Case 3 Case 4

Number of particles

49 563 136 059 270 435 742 914

r 0.03 0.02 0.015 0.01

溃坝波

Page 72: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

MLParticle-SJTU

溃坝波

Page 73: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Case 1

Case 2

Case 3

Case 4

溃坝波

Page 74: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong UniversityCase 4Case 3Case 2Case 1

EXPCase 4SPHFluent

t /g H

t /g H

溃坝波

Page 75: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

MLParticle-SJTU

溃坝波与障碍物相互作用

Page 76: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Exp. (Kleefsman, 2005)MLParticle-SJTUVOF (Kleefsman, 2005)

H2

H4

溃坝波与障碍物相互作用

Page 77: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Exp.MLParticle-SJTUOriginal MPSVOFP1

P5

溃坝波与障碍物相互作用

Page 78: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

MPS MLParticle-SJTU

(a1) t=0.35 s (b1) t=0.35 s

(a2) t=0.70 s (b2) t=0.70 s

溃坝波与障碍物相互作用

Page 79: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

甲板上浪

Page 80: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

1.035

waveMaker

2.0 3.5

7.0

0.248 0.198

verticalWall

• Wave length 2m

• Wave height 0.16m

0.2275m

r=0.08m FPSO

PR1 dist from deck=12mmPR2 dist from deck=32mm

Computational model

Cases Initial particle space (m)

Number of particles

Single-MPS 0.02 19, 000Multi-MPS 0.02/0.01/0.005 88, 000

Computational parameters

甲板上浪

Page 81: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Multi-MPS

MLParticle-SJTU

MLParticle-SJTU

甲板上浪

Page 82: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Experiment Multi-MPS Single-MPS

dp = 0.02m*

*dp is initial particle space

甲板上浪

Page 83: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Experiment Multi-MPS Single-MPS

dp = 0.02m

甲板上浪

Page 84: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

P1

甲板上浪

Page 85: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

P2

甲板上浪

Page 86: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

物体出入水

Page 87: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Computational model

Cases Initial particle space (m) Description

C1 0.0025 Single-MPSC2 0.01/0.005/0.0025 Multi-MPS

Computational parameters

物体出入水

Page 88: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Multi-MPS

MLParticle-SJTU

物体出入水

Page 89: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Exp.

Single-MPS Multi-MPS

t = 0.315s

物体出入水

Page 90: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Exp.

Single-MPS Multi-MPS

t = 0.390s

物体出入水

Page 91: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Exp.

Single-MPS Multi-MPS

t = 0.410s

物体出入水

Page 92: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Exp.

Single-MPS Multi-MPS

t = 0.50s

物体出入水

Page 93: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Penetration depths

物体出入水

Page 94: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

MLParticle-SJTU

物体出入水

Page 95: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University楔形物体出入水

Page 96: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

计算工况:

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

H

β

α

3 m

Water

楔形物体出入水

Page 97: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

case1

楔形物体出入水

Page 98: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

case2

楔形物体出入水

Page 99: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

case3

楔形物体出入水

Page 100: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

0.2 0.25 0.3 0.35 0.4 0.45 0.5-20

-10

0

10

20

30

40

50

60

Time(s)

Pres

sure

(Pa)

Exp.Case1

Impact pressure (point 1)

楔形物体出入水

Page 101: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

0.2 0.25 0.3 0.35 0.4 0.45 0.5-10

0

10

20

30

40

50

60

70

80

Time(s)

Pres

sure

(Pa)

Case1Case2Case3

Impact pressure (point 1)

楔形物体出入水

Page 102: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

0.2 0.25 0.3 0.35 0.4 0.45 0.5-10

0

10

20

30

40

50

60

Time(s)

Forc

e(N

)

Exp.-Force sensor2Case1-Force sensor2

Impact force

楔形物体出入水

Page 103: Shanghai Jiao Tong University - SJTU

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)

Velo

city

(m/s

)

Exp.Case1

楔形物体出入水

Page 104: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

液舱晃荡

Page 105: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

d h Excitation frequency Amplitude

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.

液舱晃荡

Page 106: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

MLParticle-SJTU

液舱晃荡

Page 107: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

MLParticle-SJTU

液舱晃荡

Page 108: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

EXP.

MLParticle-SJTU

Comparison of free-surface profiles between experiment and numerical simulation

Summary eport of sloshing model test for rectangular model, Kang DH&Lee YB ,2005.

液舱晃荡

Page 109: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

(m) (m) (m) (°) (°) (°)Case A 0.02 0 0 0 0 0Case B 0 0 0 4 0 0Case C 0.02 0 0 4 0 0Case D 0.02 0.02 0.005 4 4 2

The translating motions of excitation are:

sin  

y sin  

sin  

The rotating motions of excitation are:

sin  

sin  

sin  

液舱晃荡

Page 110: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Case A

Case DCase C

Case BMLParticle-SJTU

液舱晃荡

Page 111: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Case A

EXP.:

MLParticle-SJTU:

( =4.34rad/s)

MLParticle-SJTU

Page 112: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Case B

EXP.:

( =4.87rad/s)

MLParticle-SJTU:

MLParticle-SJTU

Page 113: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong Universitynaoe-FOAM-SJTU 2.0

Tank Sloshing

MLParticle-SJTU

液舱晃荡

Page 114: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong Universitynaoe-FOAM-SJTU 2.0

Tank Sloshing

MLParticle-SJTU

液舱晃荡

Page 115: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

f=0.95Hz f=1.0Hz

f=1.05Hz f=1.1HzMLParticle-SJTU

液舱晃荡

Page 116: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

MLParticle-SJTU

液舱晃荡

Page 117: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Pressure

P1 P2

P3 P4

P5 P6MLParticle-SJTU

液舱晃荡

Page 118: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Tank Sloshing with Baffle Plate

MLParticle-SJTU

液舱晃荡

Page 119: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

h=0.15 m h=0.12 m

h=0.08 m

MLParticle-SJTU

Sloshing Flows

Page 120: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

MLParticle-SJTU

液舱晃荡

Page 121: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University液舱晃荡

Page 122: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

有网格求解器naoe-FOAM-SJTU和无网格求 解

器MLParticle-SJTU都可以有效求解自由面剧烈

流动问题

有网格方法数值计算值相对稳定,但处理自由面

变形和动边界问题较为复杂

无网格方法计算量大,计算值容易发生振荡,但

处理自由面变形和动边界问题较为直接和简单

结 论

Page 123: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University 展望

处理外流场问题可以与网格类方法相结合,远场

基于网格法进行计算,进场采用粒子法,可考虑

将MLParticle-SJTU与naoeFOAM结合起来,充

分发挥两个求解器各自的特点

可以推广应用到更为复杂的流动问题,如带锚链

的海洋平台在波浪中的运动或实际船型如DTMB 5415、KCS等的操纵性和耐波性问题

123

Page 124: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

展 望

124

C FT C: naoe-FOAM-SJTU

T: Matching zoneF: MLParticle-SJTU

有网格方法与无网格方法结合

Page 125: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

LNG tank in waves without liquid

展 望

Page 126: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

LNG tank in waves with liquid

展 望

Page 127: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

Particle solver

(MLParticle-SJTU)

展 望

Page 128: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

What is CFD

Page 129: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

What is CFD

Page 130: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

What is CFD

Page 131: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

What is CFD

Page 132: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

What is CFD

Page 133: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University What is CFD

Page 134: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University

What is CFD

Page 135: Shanghai Jiao Tong University - SJTU

Shanghai Jiao Tong University What is CFD


Top Related