The multigrid method and artificial viscosity
Abstract
The convergence behavior of the multigrid method is examined for different choices of artificial viscosity in the coarse-grid operators. The two and multilevel algorithms are studied when they are applied to the convection diffusion equation in two dimensions with small diffusion coefficient. Two choices of additional artificial viscosity (currently used to avoid unstable discretizations) are studied by local mode analysis. It is shown that for a two level algorithm it is better to choose equal values of additional artificial viscosity for the coarse grid and the fine grid.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- February 1982
- Bibcode:
- 1982STIN...8313408V
- Keywords:
-
- Computational Fluid Dynamics;
- Convective Flow;
- Diffusion Coefficient;
- Panel Method (Fluid Dynamics);
- Viscosity;
- Algorithms;
- Convergence;
- Differential Equations;
- Operators (Mathematics);
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer