Multigrid semi-implicit hydrodynamics revisited
Abstract
The multigrid method has for several years been very successful for simple equations like Laplace's equation on a rectangle. For more complicated situations, however, success has been more elusive. Indeed, there are only a few applications in which the multigrid method is now being successfully used in complicated production codes. The application discussed in this paper was actually attempted several years ago. In that paper the multigrid method was applied to the pressure iteration in three Eulerian and Lagrangian codes. The application to the Eulerian codes, both incompressible and compressible, was successful, but the application to the Lagrangian code was less so. The reason given for this lack of success was that the differencing for the pressure equation in the Langrangian code, SALE, was bad. In this paper, the application of multigrad to the pressure equation in SALE is examined with the goal of succeeding this time without cheating.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- 1983
- Bibcode:
- 1983STIN...8410526D
- Keywords:
-
- Fourier Analysis;
- Grids;
- Hydrodynamics;
- Iteration;
- Laplace Equation;
- Matrices (Mathematics);
- Approximation;
- Computer Programs;
- Computers;
- Lagrange Coordinates;
- Fluid Mechanics and Heat Transfer