Incompressible smoothed particle hydrodynamics

by: Marco Ellero, Mar Serrano, Pep Español

Journal of Computational Physics, Vol. 226, No. 2. (1 October 2007), pp. 1731-1752.

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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.

@article{ellero+etal:2007, 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.}, author = {Ellero, Marco and Serrano, Mar and Espa\~{n}ol, Pep }, citeulike-article-id = {2977189}, doi = {http://dx.doi.org/10.1016/j.jcp.2007.06.019}, journal = {Journal of Computational Physics}, keywords = {fluid, incompressible, lid-driven-cavity, sph, viscous}, month = {October}, number = {2}, pages = {1731--1752}, posted-at = {2008-07-09 16:57:02}, priority = {2}, title = {Incompressible smoothed particle hydrodynamics}, url = {http://dx.doi.org/10.1016/j.jcp.2007.06.019}, volume = {226}, year = {2007} }

RIS record

TY - JOUR ID - ellero+etal:2007 L3 - citeulike-article-id:2977189 TI - Incompressible smoothed particle hydrodynamics JF - Journal of Computational Physics VL - 226 IS - 2 SP - 1731 EP - 1752 N2 - 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. KW - fluid KW - incompressible KW - lid-driven-cavity KW - sph KW - viscous AU - Ellero, Marco AU - Serrano, Mar AU - Español, Pep PY - 2007/10/01/ UR - http://dx.doi.org/10.1016/j.jcp.2007.06.019 ER -

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