摘要
A numerical formulation is proposed to integrate the set of parabolized Navier-Stokes equations using SUPG FEM. This method introduces a time-dependent relaxation effect that suppresses all divergent or departure solutions. The new scheme is termed QPNS / SUPG, which leads to a well-posed initial value problem and therefore is stable for forward integration. In order to test the capabilities concerning the shock capture and calculating the boundary layer flow, the supersonic laminar flows over a wedge and a flat plate have been evaluated using the present method.
A numerical formulation is proposed to integrate the set of parabolized Navier-Stokes equations using SUPG FEM. This method introduces a time-dependent relaxation effect that suppresses all divergent or departure solutions. The new scheme is termed QPNS / SUPG, which leads to a well-posed initial value problem and therefore is stable for forward integration. In order to test the capabilities concerning the shock capture and calculating the boundary layer flow, the supersonic laminar flows over a wedge and a flat plate have been evaluated using the present method.
