2008Journal of Nanyang Normal UniversityRequires access

The HLL approximate Riemann solver for pressure gradient equations

Jingquan Wang

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Abstract

The HLL approximate Riemann solver for pressure gradient equations is derived by computing the approximate inter-cell numerical flux in the Godunov scheme directly.According to our numerical experiments,this scheme is good for computing the Riemann solution consist of only strong simple waves,but bad for the Riemann solution which contains weak simple waves.

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What this paper is about

The HLL approximate Riemann solver for pressure gradient equations is derived by computing the approximate inter-cell numerical flux in the Godunov scheme directly.According to our numerical experiments,this scheme is good for computing the Riemann solution consist of only strong simple waves,but bad for the Riemann solution which contains weak simple waves.

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Available abstract

The HLL approximate Riemann solver for pressure gradient equations is derived by computing the approximate inter-cell numerical flux in the Godunov scheme directly.According to our numerical experiments,this scheme is good for computing the Riemann solution consist of only strong simple waves,but bad for the Riemann solution which contains weak simple waves.

Key concepts: Riemann solver, Riemann problem, Godunov's scheme, Roe solver, Riemann hypothesis, Simple (philosophy), Mathematics, Solver

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