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On finite element approximation and stabilization methods for compressible viscous flows
Author(s) -
Fortin M.,
Manouzi H.,
Soulaimani A.
Publication year - 1993
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.1650170604
Subject(s) - upwind scheme , finite element method , mathematics , compressibility , discontinuous galerkin method , flux limiter , numerical diffusion , compressible flow , mathematical analysis , mechanics , physics , discretization , thermodynamics
This work is devoted to the numerical solution of the Navier–Stokes equations for compressible viscous fluids. Finite element approximations and stabilization techniques are addressed. We present methods to implement discontinuous approximations for the pressure and the density. An upwinding methodology is being investigated which combines the ideas behind the stream line Petrov–Galerkin method and the flux limiter methods aiming to introduce numerical diffusion only where it is necessary.