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A 3D UNSTRUCTURED MESH ADAPTATION ALGORITHM FOR TIME‐DEPENDENT SHOCK‐DOMINATED PROBLEMS
Author(s) -
Speares W.,
Berzins M.
Publication year - 1997
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/(sici)1097-0363(19970715)25:1<81::aid-fld541>3.0.co;2-0
Subject(s) - riemann solver , mach number , adaptive mesh refinement , finite volume method , tetrahedron , shock (circulatory) , shock wave , supersonic speed , algorithm , transonic , computational fluid dynamics , riemann problem , solver , mathematics , compressible flow , vortex , riemann hypothesis , geometry , mathematical analysis , physics , aerodynamics , mechanics , mathematical optimization , computational science , compressibility , medicine
In this paper we present a tetrahedron‐based, h‐refinement‐type algorithm for the solution of problems in 3D gas dynamics using unstructured mesh adaptation. The mesh adaptation algorithm is coupled to a cell‐centred, Riemann problem‐based, finite volume scheme of the MUSCL type, employing an approximate Riemann solver. The adaptive scheme is then used to compute the diffraction of shock waves around a box section corner for subsonic and supersonic post‐shock flow. In the subsonic case, preliminary measurements of vortex filament speed and vortical Mach number are in broad quantitative agreement with known theoretical results. © 1997 John Wiley & Sons, Ltd.