Incompressible smoothed particle hydrodynamics

Abstract

We present a smoothed particle hydrodynamic model for incompressible fluids. As opposed to solving a pressure Poisson equation in order to get a divergence-free velocity field, here incompressibility is achieved by requiring as a kinematic constraint that the volume of the fluid particles is constant. We use Lagrangian multipliers to enforce this restriction. These Lagrange multipliers play the role of non-thermodynamic pressures whose actual values are fixed through the kinematic restriction. We use the SHAKE methodology familiar in constrained molecular dynamics as an efficient method for finding the non-thermodynamic pressure satisfying the constraints. The model is tested for several flow configurations. 2007 Elsevier Inc. All rights reserved.

DOI: 10.1016/j.jcp.2007.06.019

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Cite this paper

@article{Ellero2007IncompressibleSP, title={Incompressible smoothed particle hydrodynamics}, author={Marco Ellero and Mar Serrano and Pep Espa{\~n}ol}, journal={J. Comput. Physics}, year={2007}, volume={226}, pages={1731-1752} }