A generalized Riemann problem for quasionedimensional gas flows
Abstract
A generalization of the Riemann problem for gas dynamical flows influenced by curved geometry, such as flows in a variablearea duct, is solved. For this generalized Riemann problem the initial data consist of a pair of steadystate 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 steadystate 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:

 Cauchy Problem;
 ConvergentDivergent 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