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Improvement of stability in moving particle semi‐implicit method

2010/01/14 by Masahiro Kondo, Seiichi Koshizuka · 1 citation
Engineering · #Fluid Dynamics Simulations and Interactions #Lattice Boltzmann Simulation Studies #Numerical methods in engineering

paper · doi:10.1002/fld.2207

openalex publication_date 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Abstract Moving particle semi‐implicit (MPS) method is one of the particle methods, which can be used to analyze incompressible free surface flow without surface tracking by a mesh or a scalar quantity. However, MPS causes unphysical numerical oscillation of pressure with high frequencies. We proposed a new formulation for the source term of Poisson equation of pressure. The proposed source term consists of three parts, one main part and two error‐compensating parts. With proper selection of the coefficients for the error‐compensating parts, we can suppress the unphysical pressure oscillation. Smoother pressure distributions are obtained in hydrostatic pressure and dam break problems. Copyright © 2010 John Wiley & Sons, Ltd.

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