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 over-relaxation 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:
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- 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