Relaxation solution of the full Euler equations
Abstract
A numerical procedure for the relaxation solution of the full steady Euler equations is described. By embedding the Euler system in a secondorder surrogate system, central differencing may be used in subsonic regions while retaining matrix forms well suited to iterative solution procedures and convergence acceleration techniques. Hence, this method allows the development of stable, fullyconservative differencing schemes for the solution of quite general inviscid flow problems. Results are presented for both subcritical and shocked, supercritical internal flows. Comparisons are made with a standard timedependent solution algorithm.
 Publication:

Numerical Methods in Fluid Dynamics
 Pub Date:
 1982
 DOI:
 10.1007/3540119485_31
 Bibcode:
 1982LNP...170..273J
 Keywords:

 Euler Equations Of Motion;
 Relaxation Method (Mathematics);
 Algorithms;
 Computerized Simulation;
 Difference Equations;
 Inviscid Flow;
 Iterative Solution;
 Partial Differential Equations;
 Steady Flow;
 Time Dependence;
 Transonic Flow;
 Fluid Mechanics and Heat Transfer