Treatment of interface problems with Godunov-type schemes
type: Item
instance of: scholarly article
title: Treatment of interface problems with Godunov-type schemes
zbMATH Open document ID: 0859.76044
DOI: 10.1007/BF02434010
author: J. C. Loraud
author: Jean-Pierre Cocchi
author: R. Saurel
published in: Shock Waves
publication date: 1996-11-18T00:00:00Z
review text: A correction is proposed of Godunov-type schemes, yielding a perfect capture of contact discontinuities in hydrodynamic flows. The correction method is based upon the following simple idea: if an Euler scheme is employed starting from a non-degraded solution at a certain instant of time, the presence of a discontinuity will entail, at the next instant, the degradation of the solution at the two points adjacent to the discontinuity only. On the other hand, an exact solution of the Riemann problem yields the state variables on both sides of the discontinuity; then, the altered values at the nodes affected by numerical diffusion can be corrected. The method is applied to problems involving a gas-liquid interface.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76L05
zbMATH DE Number: 947022
zbMATH Keywords: correction method
zbMATH Keywords: Riemann problem
zbMATH Keywords: gas-liquid interface
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 947022