A Random Choice Method in Gas Dynamics
Abstract
The paper describes a random-choice method, based on Glimm's (1965) work, for solving problems in gas dynamics involving flames. The method involves no numerical viscosity, is explicit, and is unconditionally stable without being unconditionally convergent. The principle of the method is developed for solving a Riemann problem, and it involves choosing an arbitrary parameter at random from a uniform distribution at each time step. Results of applying the method to a Mach reflection problem are given as an illustration.
- Publication:
-
Some Methods of Resolution of Free Surface Problems
- Pub Date:
- 1976
- DOI:
- 10.1007/3-540-08004-X_307
- Bibcode:
- 1976LNP....59..129C
- Keywords:
-
- Cauchy Problem;
- Combustible Flow;
- Flame Propagation;
- Gas Dynamics;
- Random Processes;
- Mach Number;
- Shock Waves;
- Fluid Mechanics and Heat Transfer