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Compressible viscous flow calculations using compatible finite element approximations
Author(s) -
Bristeau M. O.,
Glowinski R.,
Dutto L.,
Périaux J.,
Rogé G.
Publication year - 1990
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.1650110603
Subject(s) - generalized minimal residual method , discretization , finite element method , compressibility , mathematics , flow (mathematics) , compressible flow , numerical analysis , iterative method , mathematical optimization , mathematical analysis , mechanics , geometry , physics , engineering , structural engineering
We discuss in this paper the numerical simulation of compressible viscous flows by a combination of finite element methods for the space approximation, an implicit second‐order multistep scheme for the time discretization and GMRES iterative methods for solving the non‐linear problems encountered at each time step. Numerical results corresponding to flows around aerofoils and aerospace vehicles illustrate the possibilities of these methods.