Assessment and improvement of fast Euler solver
Abstract
A generalization of the fast solver of Moretti (1985) for the twodimensional Euler equations written for generalized curvilinear coordinates is presented. The normalized contravariant base is introduced. The Euler equations are recast in diagonalized form and discretized in time in implicit Delta form. A system of four pseudocompatibility equations is obtained by means of local onedimensional analysis. The integration of this system requires the inversion of four bidiagonal matrices instead of 3 x 3 blocktridiagonal matrices. Preliminary results for subsonic flows are presented.
 Publication:

8th GAMMConference on Numerical Methods in Fluid Mechanics
 Pub Date:
 1990
 Bibcode:
 1990nmfm.conf..119F
 Keywords:

 Computational Fluid Dynamics;
 Ducted Flow;
 Euler Equations Of Motion;
 Spherical Coordinates;
 Subsonic Flow;
 Two Dimensional Flow;
 Boundary Conditions;
 Computational Grids;
 Eigenvalues;
 Jacobi Matrix Method;
 Mathematical Models;
 Fluid Mechanics and Heat Transfer