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DEVELOPMENT AND ASSESSMENT OF SEVERAL HIGH-RESOLUTION SCHEMES FOR COMPRESSIBLE EULER EQUATIONS

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Title DEVELOPMENT AND ASSESSMENT OF SEVERAL HIGH-RESOLUTION SCHEMES FOR COMPRESSIBLE EULER EQUATIONS
 
Creator RAY, MP
PURANIK, BP
BHANDARKAR, UV
 
Subject High-resolution scheme
reconstruction-evolution
Riemann solvers
flux vector splitting schemes
piecewise parabolic reconstruction
WENO
HYPERBOLIC CONSERVATION-LAWS
FLUID-DYNAMICS PROBLEMS
SMOOTHING METHOD GSM
RIEMANN SOLVER
STRONG SHOCKS
GAS-DYNAMICS
SIMULATIONS
 
Description High-resolution extensions to six Riemann solvers and three flux vector splitting schemes are developed within the framework of a reconstruction-evolution approach. Third-order spatial accuracy is achieved using two different piecewise parabolic reconstructions and a weighted essentially nonoscillatory scheme. A three-stage TVD Runge-Kutta time stepping is employed for temporal integration. The modular development of solvers provides an ease in selecting a reconstruction scheme and/or a Riemann solver/flux vector splitting scheme. The performances of these high-resolution solvers are compared for several one-and two-dimensional test cases. Based on a comprehensive assessment of the solutions obtained with all solvers, it is found that the use of the weighted essentially nonoscillatory reconstruction with the van Leer flux vector splitting scheme provides solutions for a variety of problems with acceptable accuracy.
 
Publisher WORLD SCIENTIFIC PUBL CO PTE LTD
 
Date 2014-12-29T06:25:04Z
2014-12-29T06:25:04Z
2014
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 11(1)
0219-8762
http://dx.doi.org/10.1142/S0219876213500497
http://dspace.library.iitb.ac.in/jspui/handle/100/17304
 
Language English