A weakly compressible SPH method based on a low-dissipation Riemann solver

We present a low-dissipation weakly-compressible SPH method for modeling free-surface flows exhibiting violent events such as impact and breaking. The key idea is to modify a Riemann solver which determines the interaction between particles by a simple limiter to decrease the intrinsic numerical dis...

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Bibliographic Details
Published inJournal of computational physics Vol. 335; pp. 605 - 620
Main Authors Zhang, C., Hu, X.Y., Adams, N.A.
Format Journal Article
LanguageEnglish
Published Cambridge Elsevier Inc 15.04.2017
Elsevier Science Ltd
Subjects
Boundary conditions
Compressibility
Computational physics
Fluid dynamics
Numerical dissipation
Riemann solver
Test procedures
Violent free-surface flows
Weakly-compressible SPH
Riemann solver
Weakly-compressible SPH
Violent free-surface flows
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Summary:We present a low-dissipation weakly-compressible SPH method for modeling free-surface flows exhibiting violent events such as impact and breaking. The key idea is to modify a Riemann solver which determines the interaction between particles by a simple limiter to decrease the intrinsic numerical dissipation. The modified Riemann solver is also extended for imposing wall boundary conditions. Numerical tests show that the method resolves free-surface flows accurately and produces smooth, accurate pressure fields. The method is compatible with the hydrostatic solution and exhibits considerably less numerical damping of the mechanical energy than previous methods.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2017.01.027