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Approximate Riemann solvers for the Godunov SPH (GSPH)

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Title Approximate Riemann solvers for the Godunov SPH (GSPH)
 
Creator PURI, K
RAMACHANDRAN, P
 
Subject GSPH
Approximate Riemann solvers
Euler equations
SMOOTHED PARTICLE HYDRODYNAMICS
KELVIN-HELMHOLTZ INSTABILITIES
NONLINEAR CONSERVATION-LAWS
ARTIFICIAL VISCOSITY METHOD
EFFICIENT IMPLEMENTATION
DIFFERENCE-SCHEMES
COMPRESSIBLE FLOW
EULER EQUATIONS
GAS-DYNAMICS
ALE METHOD
 
Description The Godunov Smoothed Particle Hydrodynamics (GSPH) method is coupled with non-iterative, approximate Riemann solvers for solutions to the compressible Euler equations. The use of approximate solvers avoids the expensive solution of the non-linear Riemann problem for every interacting particle pair, as required by GSPH. In addition, we establish an equivalence between the dissipative terms of GSPH and the signal based SPH artificial viscosity, under the restriction of a class of approximate Riemann solvers. This equivalence is used to explain the anomalous "wall heating" experienced by GSPH and we provide some suggestions to overcome it. Numerical tests in one and two dimensions are used to validate the proposed Riemann solvers. A general SPH pairing instability is observed for two-dimensional problems when using unequal mass particles. In general, Ducowicz Roe's and HLLC approximate Riemann solvers are found to be suitable replacements for the iterative Riemann solver in the original GSPH scheme. (C) 2014 Elsevier Inc. All rights reserved.
 
Publisher ACADEMIC PRESS INC ELSEVIER SCIENCE
 
Date 2014-12-28T11:09:53Z
2014-12-28T11:09:53Z
2014
 
Type Article
 
Identifier JOURNAL OF COMPUTATIONAL PHYSICS, 270432-458
0021-9991
1090-2716
http://dx.doi.org/10.1016/j.jcp.2014.03.055
http://dspace.library.iitb.ac.in/jspui/handle/100/16322
 
Language English