local poisson sph for viscous incompressible fluids

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	local poisson sph for viscous incompressible fluids
	He Xiaowei; Liu Ning; Li Sheng; Wang Hongan; Wang Guoping
	2012
发表期刊	Computer Graphics Forum
ISSN	0167-7055
卷号	31 期号:6 页码:1948-1958
摘要	Enforcing fluid incompressibility is one of the time-consuming aspects in SPH. In this paper, we present a local Poisson SPH (LPSPH) method to solve incompressibility for particle based fluid simulation. Considering the pressure Poisson equation, we first convert it into an integral form, and then apply a discretization to convert the continuous integral equation to a discretized summation over all the particles in the local pressure integration domain determined by the local geometry. To control the approximation error, we further integrate our local pressure solver into the predictive-corrective framework to avoid the computational cost of solving a pressure Poisson equation globally. Our method can effectively eliminate the large density deviations mainly caused by the solid boundary treatment and free surface topological change, and show advantage of a higher convergence rate over the predictive-corrective incompressible SPH (PCISPH). © 2012 The Eurographics Association and Blackwell Publishing Ltd.; Enforcing fluid incompressibility is one of the time-consuming aspects in SPH. In this paper, we present a local Poisson SPH (LPSPH) method to solve incompressibility for particle based fluid simulation. Considering the pressure Poisson equation, we first convert it into an integral form, and then apply a discretization to convert the continuous integral equation to a discretized summation over all the particles in the local pressure integration domain determined by the local geometry. To control the approximation error, we further integrate our local pressure solver into the predictive-corrective framework to avoid the computational cost of solving a pressure Poisson equation globally. Our method can effectively eliminate the large density deviations mainly caused by the solid boundary treatment and free surface topological change, and show advantage of a higher convergence rate over the predictive-corrective incompressible SPH (PCISPH). © 2012 The Eurographics Association and Blackwell Publishing Ltd.
收录类别	EI
关键词	Incompressible Flow Integral Equations Poisson Equation
部门归属	(1) Graphics Lab of EECS Peking University China; (2) State Key Laboratory of Computer Science Institute of Software Chinese Academy of Sciences China
语种	英语
WOS记录号	WOS:000309070200012
引用统计	被引频次：47[WOS] [WOS记录] [WOS相关记录]
内容类型	期刊论文
URI标识	http://ir.iscas.ac.cn/handle/311060/15472
专题	中国科学院软件研究所
推荐引用方式 GB/T 7714	He Xiaowei,Liu Ning,Li Sheng,et al. local poisson sph for viscous incompressible fluids[J]. Computer Graphics Forum,2012,31(6):1948-1958.
APA	He Xiaowei,Liu Ning,Li Sheng,Wang Hongan,&Wang Guoping.(2012).local poisson sph for viscous incompressible fluids.Computer Graphics Forum,31(6),1948-1958.
MLA	He Xiaowei,et al."local poisson sph for viscous incompressible fluids".Computer Graphics Forum 31.6(2012):1948-1958.