Multi-domain multi-model formulation for compressible flows - Conservative interface coupling and parallel implicit solvers for 3D unstructured meshes

In this paper we present a multi-domain multi-model formulation for three-dimensional compressible flows. Using multi-domains we can map the computation efficiently onto multi-processor parallel computers and using multi-models we can reduce the arithmetic cost. The goal is to minimize the overall time and memory required to simulate the flow by using locally selected, more computational efficient physical models without sacrificing the global fidelity of the simulation. We introduce a finite volume based conservative interpolation for the coupling of the full potential equation and the Euler equations, and the resulting nonlinear systems are solved by a Defect Correction method. To demonstrate the feasibility of this method, we present computational results for subsonic and transonic flows around wings, and also a comparison with results obtained using the TRANAIR package of Boeing. ∗Dept. of Mech. and Ind. Eng., Univ. of Toronto, Toronto, Canada, M5S 3G8. marius@mie.utoronto.ca †Dept. of Comp. Sci., Univ. of Colorado, Boulder, CO 80309. cai@cs.colorado.edu ‡Math. Sci. Dept., Worcester Poly. Inst., Worcester, MA 01609. msarkis@wpi.edu §AIAA member. The Boeing Company, Seattle, WA 98124. dpy6629@cfdd51.cfd.ca.boeing.com ¶AIAA member. Dept. of Comp. Sci., Old Dominion Univ., Norfork, VA 23529 and ICASE, NASA Langley Research Center, Hampton, VA 23681. keyes@icase.edu Copyright c © 1999 by M. Paraschivoiu Published by the American Institute of Aeronautics and Astronautics, Inc. with permission