Pseudospectral solutions of one- and two-dimensional inviscid flows with shock waves
Abstract
A new approach is presented for the utilization of pseudospectral techniques for the solution of inviscid flows with shock waves using the full Euler equations of motion. Artificial viscosity is applied together with low pass spectral filtering to damp out numerical oscillations that arise ahead of and behind the shock waves. Both second- and fourth-order artificial viscosity schemes are utilized. The fourth-order scheme is shown to be superior. Solutions are presented for the one-dimensional propagating shock wave problem and for two-dimensional supersonic wedge flow. Agreement between the computational results and the analytic solutions is very good.
- Publication:
-
AIAA Journal
- Pub Date:
- July 1984
- DOI:
- 10.2514/3.48529
- Bibcode:
- 1984AIAAJ..22..929S
- Keywords:
-
- Computational Fluid Dynamics;
- Inviscid Flow;
- Shock Wave Propagation;
- Spectral Methods;
- Euler Equations Of Motion;
- One Dimensional Flow;
- Supersonic Flow;
- Two Dimensional Flow;
- Viscosity;
- Wedge Flow;
- Fluid Mechanics and Heat Transfer