A finite element method for compressible viscous fluid flows

Medientyp: E-Artikel
Titel: A finite element method for compressible viscous fluid flows
Beteiligte: Jog, C. S.
Erschienen: Wiley, 2011
Erschienen in: International Journal for Numerical Methods in Fluids
Sprache: Englisch
DOI: 10.1002/fld.2287
ISSN: 0271-2091; 1097-0363
Schlagwörter: Applied Mathematics ; Computer Science Applications ; Mechanical Engineering ; Mechanics of Materials ; Computational Mechanics
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Beschreibung: <jats:title>Abstract</jats:title><jats:p>This work presents a mixed three‐dimensional finite element formulation for analyzing compressible viscous flows. The formulation is based on the primitive variables velocity, density, temperature and pressure. The goal of this work is to present a ‘stable’ numerical formulation, and, thus, the interpolation functions for the field variables are chosen so as to satisfy the inf–sup conditions. An exact tangent stiffness matrix is derived for the formulation, which ensures a quadratic rate of convergence. The good performance of the proposed strategy is shown in a number of steady‐state and transient problems where compressibility effects are important such as high Mach number flows, natural convection, Riemann problems, etc., and also on problems where the fluid can be treated as almost incompressible. Copyright © 2010 John Wiley & Sons, Ltd.</jats:p>

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