A consistent finite-difference operator for time-dependent solution of steady, oblique shocks
Abstract
An extension of the MacCormack finite-difference scheme for gasdynamic flows is presented. The new operator is shown to be consistent with the steady state jump conditions as well as the governing partial differential equations in smooth regions. The operator is tested on a steady, oblique shock with supersonic-supersonic transition. When started from the weak solution obtained by the basic MacCormack scheme, the presented procedure converged to the exact solution.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- September 1976
- Bibcode:
- 1976STIN...7712331K
- Keywords:
-
- Finite Difference Theory;
- Oblique Shock Waves;
- Operators (Mathematics);
- Mathematical Models;
- Partial Differential Equations;
- Time Dependence;
- Transonic Flow;
- Fluid Mechanics and Heat Transfer