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A vertex‐centred finite volume method with shock detection
Author(s) -
Crumpton P. I.,
Shaw G. J.
Publication year - 1994
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650180605
Subject(s) - transonic , finite volume method , airfoil , polygon mesh , discretization , compressible flow , shock (circulatory) , vertex (graph theory) , boundary layer , turbulence , mechanics , mathematics , compressibility , geometry , computer science , mathematical analysis , physics , aerodynamics , graph , medicine , discrete mathematics
This paper introduces a vertex‐centred finite volume method for compressible viscous flow incorporating a new shock detection procedure. The discretization is designed to be robust and accurate on the highly stretched and curved meshes necessary for resolving turbulent boundary layers around the leading edge of an aerofoil. Details of the method are described for two‐dimensional problems and the natural extension of three‐dimensional multiblock meshes is discussed. The shock detection procedure is used to limit the range of the shock‐capturing dissipation specifically to regions containing shocks. For transonic turbulent flow this is shown to improve the boundary layer representation significantly.