Title
Incompressible SPH using the Divergence-Free Condition
Abstract
In this paper, we present a novel SPH framework to simulate incompressible fluid that satisfies both the divergence- free condition and the density-invariant condition. In our framework, the two conditions are applied separately. First, the divergence-free condition is enforced when solving the momentum equation. Later, the density-invariant condition is applied after the time integration of the particle positions. Our framework is a purely Lagrangian approach so that no auxiliary grid is required. Compared to the previous density-invariant based SPH methods, the proposed method is more accurate due to the explicit satisfaction of the divergence-free condition. We also propose a modified boundary particle method for handling the free-slip condition. In addition, two simple but effective methods are proposed to reduce the particle clumping artifact induced by the density-invariant condition.
Year
DOI
Venue
2014
10.1111/cgf.12490
Comput. Graph. Forum
Keywords
Field
DocType
Categories and Subject Descriptors (according to ACM CCS),I,3,5 [Computer Graphics]: Computational Geometry and Object ModelingPhysically based modeling,I,3,7 [Computer Graphics]: Three-Dimensional Graphics and RealismAnimation
Compressibility,Divergence,Lagrangian,Computer science,Theoretical computer science,Momentum,Boundary particle method,Grid,Particle
Journal
Volume
Issue
ISSN
33
7
0167-7055
Citations 
PageRank 
References 
8
0.64
39
Authors
2
Name
Order
Citations
PageRank
Nahyup Kang1404.21
Donghoon Sagong280.64