Nonlinear Relaxation Navier-Stokes Solver for Three-Dimensional, High-speed Internal Flows

Abstract

An efficient implicit Navier-Stokes method for computing steady, three-dimensional flowfields characteristic of high-speed propulsion systems is presented. A nonlinear iteration strategy based on planar Gauss-Siedel sweeps is used to drive the solution toward a steady state, with approximate factorization error within a crossflow plane reduced by the application of a quasi-Newton technique. A hybrid discretization approach is employed, with flux-vector splitting used in the streamwise direction and central differences with artificial dissipation used for the transverse fluxes. Convergence histories and comparisons with experimental dara are presented for several three-dimensional shock/boundary-layer interactions