Incompressible SPH using the Divergence-Free Condition
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Date
2014
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The Eurographics Association and John Wiley and Sons Ltd.
Abstract
In this paper, we present a novel SPH framework to simulate incompressible fluid that satisfies both the divergencefree 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.
Description
@article{10.1111:cgf.12490,
journal = {Computer Graphics Forum},
title = {{Incompressible SPH using the Divergence-Free Condition}},
author = {Kang, Nahyup and Sagong, Donghoon},
year = {2014},
publisher = {The Eurographics Association and John Wiley and Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.12490}
}