Front tracking and two-dimensional Riemann problems
Abstract
Two-dimensional Riemann problems occurring at the intersection points of discontinuous waves in a compressible, inviscid, polytropic gas are studied from both numerical and theoretical points of view using the front tracking method. The results are compared to experimental ones for two specific test problems. An example of how the motion of a two-dimensional coherent wave is determined numerically is given, and it is shown that in two-dimensional compressible gas dynamics there are only a small number of such two-dimensional coherent waves. Outstanding questions related to Riemann problems are also discussed.
- Publication:
-
Advances in Applied Mathematics
- Pub Date:
- September 1985
- Bibcode:
- 1985AdApM...6..259G
- Keywords:
-
- Cauchy Problem;
- Compressible Fluids;
- Computational Fluid Dynamics;
- Gas Dynamics;
- Mach Reflection;
- Shock Wave Propagation;
- Algorithms;
- Conservation Laws;
- Discontinuity;
- Euler Equations Of Motion;
- Inviscid Flow;
- Navier-Stokes Equation;
- Polytropic Processes;
- Rarefaction;
- Fluid Mechanics and Heat Transfer