By Joseph L. Steger (auth.), M. Y. Hussaini, A. Kumar, M. D. Salas (eds.)
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Extra resources for Algorithmic Trends in Computational Fluid Dynamics
Pironneau (Universite Paris 6 & lNRlA) lCASE meeting, Hampton USA, 15-20 September1991. Abstract. Compressible viscous flows are generally treated numerically as a superposition of viscous effects on inviscid flows governed by the Euler equations. However powerful this approach is it will be shown on a few examples that there is more to compressible viscous flows than this superposition. Along the way some of the recent findings relevant to Finite Volume and Finite Element Methods will be reviewed.
T. S. Samant: A locally refined grid FEM: Application to CFD and computational physics. J. Compo Physics. 92 ,1,pl-66, 1991. O. Jacquotte: A mechanical model for a new generation method in CFD. Compo Meths. Appl. Mech. Eng. 66, p323-338, 1988. A. Nicolaides: Analysis and Convergence of the MAC scheme. SIAM. J. Numer. Ana. (to appear, 1992). 1. C. Rheinbolt: A posteriori estimates for the finite element method. Int. J. Numer. Methods in Engrg. 12 : 15971615, 1978. R. Bank, N. Welfeirt: A posteriori estimates and automatic mesh refinement for the Stokes problem (to appear in SIAM numer Anal).
R. Glowinski ed. North Holland 1988. A. Majda: Compressible Fluid Flow and systems of Conservation Laws in Several Space Variables. Applied Math. Sciences series, 53, Sringer, 1984. H. Babovsky, R. Illner:Convergence Proof for Nanbu's Simulation Method for the full Boltzmann equation. 45-65. B. Perthame, R. Sanders: The Neumann Problem for Nonlinear Second Order Singular Perturbation Problems. SIAM J. Math. Anal. 19 ,2, 295-311, 1988. R. Sanders, A. Weiser: A high resolution Staggered Mesh Approach for Nonlinear Hyperbolic Systems of Conservation Laws.