Solving the navier-stokes equations by the CESE method

Abstract

The CESE method is a new numerical paradigm for nonlinear hyperbolic conservation laws. In this paper, we extend the CESE method for solving viscous flows. Both viscous and inviscid fluxes are incorporated into the space-time integration of the CESE method to enforce flux conservation locally and globally. To overcome excessive numerical damping, incurred by clustered mesh for resolving the boundary layer, a CFL number insensitive scheme, recently developed by Chang, is employed. The capabilities of the present scheme are demonstrated by numerical solutions of a shock/boundary layer interaction problem and a driven cavity flow. Without preconditioning the flow equations, the present approach can calculate flows at all speed.