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Subject: Computer Science
Title:
staggered meshless solid-fluid coupling
Author: He Xiaowei ; Liu Ning ; Wang Guoping ; Zhang Fengjun ; Li Sheng ; Shao Songdong ; Wang Hongan
Keyword: staggered SPH ; physically-based animation ; solid-fluid coupling
Source: ACM TRANSACTIONS ON GRAPHICS
Issued Date: 2012
Volume: 31, Issue:6, Pages:-
Indexed Type: SCI ; EI
Department: He Xiaowei; Zhang Fengjun; Wang Hongan Chinese Acad Sci Inst Software Beijing 100864 Peoples R China. He Xiaowei; Liu Ning; Wang Guoping; Li Sheng Peking Univ Beijing Peoples R China. Shao Songdong Univ Bradford Bradford BD7 1DP W Yorkshire England.
Sponsorship: National Basic Research Program of China 2009CB320804, 2010CB328002; National Natural Science Foundation of China 61173059, 61135003, 60925007, 60833007, 61121002, 61170205
Abstract: Simulating solid-fluid coupling with the classical meshless methods is an difficult issue due to the lack of the Kronecker delta property of the shape functions when enforcing the essential boundary conditions. In this work, we present a novel staggered meshless method to overcome this problem. We create a set of staggered particles from the original particles in each time step by mapping the mass and momentum onto these staggered particles, aiming to stagger the velocity field from the pressure field. Based on this arrangement, an new approximate projection method is proposed to enforce divergence-free on the fluid velocity with compatible boundary conditions. In the simulations, the method handles the fluid and solid in a unified meshless manner and generalizes the formulations for computing the viscous and pressure forces. To enhance the robustness of the algorithm, we further propose a new framework to handle the degeneration case in the solid-fluid coupling, which guarantees stability of the simulation. The proposed method offers the benefit that various slip boundary conditions can be easily implemented. Besides, explicit collision handling for the fluid and solid is avoided. The method is easy to implement and can be extended from the standard SPH algorithm in a straightforward manner. The paper also illustrates both one-way and two-way couplings of the fluids and rigid bodies using several test cases in two and three dimensions.
English Abstract: Simulating solid-fluid coupling with the classical meshless methods is an difficult issue due to the lack of the Kronecker delta property of the shape functions when enforcing the essential boundary conditions. In this work, we present a novel staggered meshless method to overcome this problem. We create a set of staggered particles from the original particles in each time step by mapping the mass and momentum onto these staggered particles, aiming to stagger the velocity field from the pressure field. Based on this arrangement, an new approximate projection method is proposed to enforce divergence-free on the fluid velocity with compatible boundary conditions. In the simulations, the method handles the fluid and solid in a unified meshless manner and generalizes the formulations for computing the viscous and pressure forces. To enhance the robustness of the algorithm, we further propose a new framework to handle the degeneration case in the solid-fluid coupling, which guarantees stability of the simulation. The proposed method offers the benefit that various slip boundary conditions can be easily implemented. Besides, explicit collision handling for the fluid and solid is avoided. The method is easy to implement and can be extended from the standard SPH algorithm in a straightforward manner. The paper also illustrates both one-way and two-way couplings of the fluids and rigid bodies using several test cases in two and three dimensions.
Language: 英语
WOS ID: WOS:000311298900023
Citation statistics:
Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/15051
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
He Xiaowei,Liu Ning,Wang Guoping,et al. staggered meshless solid-fluid coupling[J]. ACM TRANSACTIONS ON GRAPHICS,2012-01-01,31(6):-.
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