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High resolution schemes for genuinely two-dimensional HLLE Riemann solver

DSpace at IIT Bombay

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Title High resolution schemes for genuinely two-dimensional HLLE Riemann solver
 
Creator MANDAL, JC
ARVIND, N
 
Subject genuinely multidimensional Riemann solver
higher order reconstruction
Euler equations
SDWLS gradients
Barth-Jespersen limiter
HYPERBOLIC CONSERVATION-LAWS
ESSENTIALLY NONOSCILLATORY SCHEMES
EULER EQUATIONS
GAS-DYNAMICS
DIFFERENCE SCHEME
FLOWS
 
Description In this paper, two higher order solution reconstruction techniques based on SDWLS gradients and Barth-Jespersen limiter are investigated to obtain higher order accuracy for a genuinely multidimensional Riemann solver. Due to use of vertex-based framework in the multidimensional Riemann solver, straight forward application of conventional TVD limiters becomes difficult and confusing. Several test examples are solved in order to establish order of accuracy and to demonstrate the efficacy of the proposed reconstruction techniques. The SDWLS gradient technique is found to produce consistently higher order solution accuracy and maintain multidimensional nature of the solutions as compared to Barth-Jespersen limiter.
 
Publisher INDERSCIENCE ENTERPRISES LTD
 
Date 2014-12-28T14:51:52Z
2014-12-28T14:51:52Z
2014
 
Type Article
 
Identifier PROGRESS IN COMPUTATIONAL FLUID DYNAMICS, 14(4)205-220
1468-4349
1741-5233
http://dspace.library.iitb.ac.in/jspui/handle/100/16800
 
Language English