An Unstructured Algorithm for High Reynolds Number Flows on Highly-Stretched Grids

This paper describes a robust and ecient algorithm for the numerical solution of the steady compressible Reynolds-averaged Navier-Stokes equations, with a one equation turbulence model. Highly stretched triangular and tetrahedral unstructured grids are used to integrate the equations to the wall. An edge-collapse multigrid approach is introduced which is shown to be efficient, robust and applicable to complex geometries in two and three dimensions, for inviscid and viscous flows. Special attention is paid to the treatment of the highly stretched grids in both the discretization and the edge-collapse multigrid method