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A staggered mesh finite difference scheme for the computation of compressible flows
Author(s) -
Sanders Richard
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620340209
Subject(s) - conservation law , finite difference , computation , finite difference scheme , scalar (mathematics) , compressible flow , mathematics , finite difference method , variety (cybernetics) , riemann problem , linear system , compressibility , computer science , riemann solver , reliability (semiconductor) , mathematical optimization , finite volume method , riemann hypothesis , mathematical analysis , algorithm , geometry , physics , mechanics , power (physics) , statistics , quantum mechanics
A simple high resolution finite difference technique is presented to approximate weak solutions to hyperbolic systems of conservation laws. The method does not rely on Riemann problem solvers and is therefore easy to extend to a wide variety of problems. The overall performance (resolution and CPU requirements) is competitive with other state‐of‐the‐art techniques offering sharp non‐oscillatory shocks and contacts. Theoretical results confirm the reliability of the approach for linear systems and non‐linear scalar equations.