Abstract
An implicit edge-based upwind cell-vertex mixed finite volume/finite element method is used t o solve the Navier-Stokes equations on agrid composed of triangles. T h e convective numerical fluxes are evaluated at the faces of a dual mesh by using Roe's approximate Riemann solver. A higher order reconstruction is performed using a MUSCL variable extrapolation approach. T h e viscous fluxes are computed using a standard finite element method. The time integration is performed using a GMRES iterative method. To enhance the stability and improve the convergence, a Block Incomplete LowertUpper preconditioner (BILU) is used. The implicit method allowsfor the use of constant CFL numbers of up to 100 for subsonic and supersonic viscous test cases. For hypersonic flows, high CFL numbers generate instabilities, but CFL numbers of 1111 to 10 have been successfully used for a very stiff problem, such as a laminar compression corner. To the aiilhors' knowledge, this paper presents the first results ofviscous high-speed flow computations on unstructured meshes using a GMRES/BILU combination.
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