Download e-book for iPad: Algorithmic Trends in Computational Fluid Dynamics by Joseph L. Steger (auth.), M. Y. Hussaini, A. Kumar, M. D.

By Joseph L. Steger (auth.), M. Y. Hussaini, A. Kumar, M. D. Salas (eds.)

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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.

Arch. Rat. Mech. Anal. 88 , p223-270, 1985. [10] R. Lohner: 3D grid generation by the advancing front method. In Laminar and Turbulent flows. C. G. Habashi, H. Hafez eds. Pinneridge Press, 1987. [11] J. Peraire, J. Peiro, L. Formaggia, K. Morgan, O. Zienkiewicz: Finite Element Euler Computations in three dimensions. Int. J. Numer. Meth. in Eng. 26: 2135-2159, 1988. J. Baker: Automatic mesh generation for complex three dimensional regions using a constrained Delaunay triangulation, Eng. Compo 5: 161-175, 1989.

The generation of Delaunay-Voronoi meshes is no longer slow and possible now on any domain (Baker [12], Georges et al [13]). 4). Automatic Quadrangular mesh generators have also been developed (Young et al [15] and Jacquotte [16]). In [15] they have been shown to be completely general if hanging mid-side nodes are allowed. Unstructured meshes also allow adaptivity to the solution during its computation. The theory of adaptive local mesh refinement is somewhat complete for incompressible fluids (Babuska [18], Bank [19], Verfurth [20]) but still in its infancy for compressible flows, even though it is currently in use in industry (Periaux et al [21], Young et al [15]).

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