The weighted average flux method applied to the Euler equations

Author:

Abstract

The weighted average flux method (WAF) for general hyperbolic conservation laws was formulated by Toro. Here the method is specialized to the time-dependent Euler equations of gas dynamics. Several improvements to the technique are presented. These have resulted from experience obtained from applying WAF to a variety of realistic problems. A hierarchy of solutions to the relevant Riemann problem, ranging from very simple approximations to the exact solution, are presented. Their performance in the WAF method for several test problems in one and two dimensions is assessed.

Publisher

The Royal Society

Subject

Pharmacology (medical),Complementary and alternative medicine,Pharmaceutical Science

Reference28 articles.

1. left tvd region

2. rig h t tvd region

3. am plifier function to wave k

4. flow p aram eter to co n stru ct functions A k

5. solution of R iem ann problem

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