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Robust HLL-type Riemann solver capable of resolving contact discontinuity

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Title Robust HLL-type Riemann solver capable of resolving contact discontinuity
 
Creator MANDAL, JC
PANWAR, V
 
Subject Euler equations
Riemann solver
Convective pressure flux splitting
Contact resolution
Shock instability
Carbuncle phenomenon
HYPERBOLIC CONSERVATION-LAWS
VECTOR SPLITTING SCHEME
GODUNOV-TYPE SCHEMES
CARBUNCLE PHENOMENON
EULER EQUATIONS
SHOCK
 
Description In this paper, a simple Harten, Lax and van Leer (HLL) type Riemann solver, capable of resolving contact discontinuity accurately, is proposed. Here, the ability to capture the contact is brought about in a way different from Harten, Lax and van Leer with Contact (HLLC) scheme of Toro. In the present method, the flux vector of the Euler equations is split into convective and pressure parts before applying the HLL scheme to each part. Several carefully chosen one- and two-dimensional test problems are solved using the present method in order to demonstrate its robustness and efficacy. The new method is found to be free from problems like spurious expansion shock, carbuncle phenomenon, odd even decoupling, kinked Mach stem, which are usually faced by most of the contact resolving methods. (C) 2012 Elsevier Ltd. All rights reserved.
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2014-10-15T16:49:13Z
2014-10-15T16:49:13Z
2012
 
Type Article
 
Identifier COMPUTERS & FLUIDS, 63148-164
http://dx.doi.org/10.1016/j.compfluid.2012.04.005
http://dspace.library.iitb.ac.in/jspui/handle/100/15251
 
Language en