Mesh Generation and Adaptivity for the Solution of Compressible Viscous High Speed Flows

International Journal for Numerical Methods in Engineering, Wiley, Vol 38, pp.1123-1148, 1995

MESHING
RESEARCH
CORNER

0. HASSAN

Department of Civil Engineering, University of Wales, Swansea, SA2 8PP, U.K.

E. J. Probert
EBMS, University of Wales, Swansea, SA2 8PP, U.K.

K. MORGAN
Department of Civil Engineering, University of Wales. Swansea. SA2 8PP, U.K.

J. Peraire
Department of Aeronautics and Astronautics, MIT. Cambridge, MA 02139. U.S.A.

Abstract
An implicit-explicit procedure for the solution of the compressible Navier- Stokes equations on unstructured triangular and tetrahedral meshes is outlined. A procedure for constructing continuous lines, made up of edges in the mesh, is employed and the implicit equation system is solved via line relaxation. The problem of generating, and adapting, unstructured meshes for viscous flow simulations is addressed. A number of examples are included which demonstrate the numerical performance of the proposed procedures.