A generalized Riemann problem for quasi-one-dimensional gas flows
Abstract
A generalization of the Riemann problem for gas dynamical flows influenced by curved geometry, such as flows in a variable-area duct, is solved. For this generalized Riemann problem the initial data consist of a pair of steady-state solutions separated by a jump discontinuity. The solution of the generalized Riemann problem is used as a basis for a random choice method in which steady-state solutions are used as an Ansatz to approximate the spatial variation of the solution between grid points. For nearly steady flow in a Laval nozzle, where this Ansatz is appropriate, this generalized random choice method gives greatly improved results.
- Publication:
-
Advances in Applied Mathematics
- Pub Date:
- March 1984
- Bibcode:
- 1984AdApM...5....1G
- Keywords:
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- Cauchy Problem;
- Convergent-Divergent Nozzles;
- Gas Flow;
- Nozzle Flow;
- One Dimensional Flow;
- Steady Flow;
- Ducted Flow;
- Flow Geometry;
- Gas Dynamics;
- Mach Number;
- Pressure Distribution;
- Fluid Mechanics and Heat Transfer