Fast Euler solver for steady, onedimensional flows
Abstract
A numerical technique to solve the Euler equations for steady, onedimensional flows is presented. The technique is essentially implicit, but is structured as a sequence of explicit solutions for each Riemann variable separately. Each solution is obtained by integrating in the direction prescribed by the propagation of the Riemann variables. The technique is secondorder accurate. It requires very few steps for convergence, and each step requires a minimal number of operations. Therefore, it is three orders of magnitude more efficient than a standard timedependent technique. The technique works well for transonic flows and provides shock fitting with errors as small as 0.001. Results are presented for subsonic and transonic problems. Errors are evaluated by comparison with exact solutions.
 Publication:

Computers and Fluids
 Pub Date:
 1985
 Bibcode:
 1985CF.....13...61M
 Keywords:

 Computational Fluid Dynamics;
 Euler Equations Of Motion;
 Nozzle Flow;
 One Dimensional Flow;
 Steady Flow;
 Subsonic Flow;
 Transonic Flow;
 Cauchy Problem;
 Mach Number;
 RankineHugoniot Relation;
 Time Dependence;
 Fluid Mechanics and Heat Transfer