Moving Least Squares Particle Hydrodynamics with Riemann Solvers

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2007, Vol. 24 ›› Issue (2): 159-165.

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Moving Least Squares Particle Hydrodynamics with Riemann Solvers

HU Xiaoyan^1,2, LIN Zhong², NI guoxi²

1. Graduate School, China Academy of Engineering Physics, Beijing 100088, China;
2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2005-11-07 Revised:2006-06-05 Online:2007-03-25 Published:2007-03-25

Abstract

Abstract: The moving least squares particle hydrodynamics (MLSPH) is presented and a 1D MLSPH algorithm is discussed.To reduce oscillations near contact discontinuities,two meshfree Riemann problem initial value methods with different accuracy are introduced.The effect of contact interaction between particles is decreased by the Riemann solver.Efficiency of the method is demonstrated by numerical tests of a 1D shock tube.

Key words: MLSPH method, contact algorithms, Riemann solver, MUSCL scheme

CLC Number:

O354.5

HU Xiaoyan, LIN Zhong, NI guoxi. Moving Least Squares Particle Hydrodynamics with Riemann Solvers[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 24(2): 159-165.

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Moving Least Squares Particle Hydrodynamics with Riemann Solvers

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