Front tracking and twodimensional Riemann problems
Abstract
Twodimensional 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 twodimensional coherent wave is determined numerically is given, and it is shown that in twodimensional compressible gas dynamics there are only a small number of such twodimensional 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;
 NavierStokes Equation;
 Polytropic Processes;
 Rarefaction;
 Fluid Mechanics and Heat Transfer