Kinetic theory based wave-particle splitting scheme for Euler equations
Abstract
A new upwind wave-particle splitting scheme is developed, based on the connection between the kinetic theory of gased and Euler equations and using the concept of thermal velocity. The new upwind method is applied to the standard one-dimensional shock tube problem and to the problem of two-dimensional shock reflection from a flat plate. Results for the two-dimensional problem showed that the new scheme is much less dissipative than the kinetic flux vector splitting scheme of Deshpande (1986) and Mandal (1989).
- Publication:
-
Aeronautical Society India Journal
- Pub Date:
- November 1992
- Bibcode:
- 1992AeSIJ..44..329R
- Keywords:
-
- Computational Fluid Dynamics;
- Euler Equations Of Motion;
- Flux Vector Splitting;
- Upwind Schemes (Mathematics);
- Eigenvalues;
- Shock Tubes;
- Shock Wave Propagation;
- Thermodynamics and Statistical Physics