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A Contact SPH Method with High-Order Limiters for Simulation of Inviscid Compressible Flows

Published online by Cambridge University Press:  03 June 2015

Xueying Zhang ,
Haiyan Tian ,
Leihsin Kuo  and
Wen Chen
Xueying Zhang*
Affiliation:
College of Science, Hohai University, Nanjing, Jiangsu 210098, P.R. China
Haiyan Tian*
Affiliation:
Department of Mathematics, University of Southern Mississippi, Hattiesburg, MS 39406, USA
Leihsin Kuo*
Affiliation:
Department of Mathematics, University of Southern Mississippi, Hattiesburg, MS 39406, USA
Wen Chen*
Affiliation:
Department of Engineering Mechanics, Hohai University, Nanjing, Jiangsu 210098, P.R. China
*
Corresponding author.Email:zhangxy.math@gmail.com
Email:haiyan.tian@usm.edu
Email:Leihsin.kuo@eagles.usm.edu
Email:chenwen@hhu.edu.cn
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Abstract

In this paper, we study a class of contact smoothed particle hydrodynamics (SPH) by introducing Riemann solvers and using high-order limiters. In particular, a promising concept of WENO interpolation as limiter is presented in the reconstruction process. The physical values relating interactional particles used as the initial values of the Riemann problem can be reconstructed by the Taylor series expansion. The contact solvers of the Riemann problem at contact points are incorporated in SPH approximations. In order to keep the fluid density at the wall rows to be consistent with that of the inner fluid wall boundaries, several lines of dummy particles are placed outside of the solid walls, which are assigned according to the initial configuration. At last, the method is applied to compressible flows with sharp discontinuities such as the collision of two strong shocks and the interaction of two blast waves and so on. The numerical results indicate that the method is capable of handling sharp discontinuity and efficiently reducing unphysical oscillations.

Keywords

76N1535L03Meshless methodSPH methodthe Riemann solutionhigh-order limiterTaylor series
Type
Research Article
Information
Communications in Computational Physics , Volume 14 , Issue 2 , August 2013 , pp. 425 - 442
Copyright
Copyright © Global Science Press Limited 2013

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