A generalized random choice method for gas dynamics
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 consists 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:

In Army Research Office Proc. of the 1982 Army Numerical Anal. and Computers Conf. p 137148 (SEE N8314930 0559
 Pub Date:
 August 1982
 Bibcode:
 1982anac.conf..137G
 Keywords:

 Cauchy Problem;
 Flow Characteristics;
 Gas Dynamics;
 Approximation;
 Laval Number;
 Spatial Distribution;
 Fluid Mechanics and Heat Transfer