Finite element solution of compressible viscous flows using conservative variables

DOI10.1016/0045-7825(94)90006-XzbMath0848.76039MaRDI QIDQ1913170

Azzeddine Soulaimani, Michel Fortin

Publication date: 11 July 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsGalerkin variational formulationconservative variablesdiscontinuity-capturing operatorgeneralized minimal residual algorithmstream line upwind Petrov-Galerkin methodtransonic and supersonic flows

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Cites Work

• Development of implicit methods in CFD NASA Ames Research Center 1970s--1980s
• A consistent approximate upwind Petrov-Galerkin method for convection- dominated problems
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
• A globally convergent matrix-free algorithm for implicit time-marching schemes arising in finite element analysis in fluids
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Diagonalization and Simultaneous Symmetrization of the Gas-Dynamic Matrices
• On finite element approximation and stabilization methods for compressible viscous flows
• Une méthode d'éléments finis pour le calcul des écoulements compressibles utilisant les variables conservatives et la méthode SUPG

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