LU implicit schemes with multiple grids for the Euler equations
Abstract
An LU implicit scheme is developed for the unsteady Euler equations. It is proved that a symmetric successive overrelaxation method for solving the unfactored implicit scheme is equivalent to a modified form of the LU implicit scheme. A multigrid method is developed for the LU implicit scheme to produce a rapidly convergent algorithm for calculating steady state solutions of the Euler equations.
 Publication:

24th AIAA Aerospace Sciences Meeting
 Pub Date:
 January 1986
 Bibcode:
 1986aiaa.meetR....J
 Keywords:

 Computational Grids;
 Euler Equations Of Motion;
 Factorization;
 Transonic Flow;
 Unsteady Flow;
 Viscous Flow;
 Boundary Value Problems;
 Finite Element Method;
 Time Marching;
 Fluid Mechanics and Heat Transfer