Parabolic multi-grid method for incompressible viscous flows using a group explicit relaxation scheme
Abstract
This paper provides an efficient numerical method on supercomputers for two-dimensional incompressible unsteady viscous flows. The unsteady vorticity-velocity Navier-Stokes equations are discretized by means of the implicit Euler formula and the resulting elliptic system of equations is solved by the parabolic multi-grid method with the group explicit relaxation scheme. Application of the present method to unsteady flows in a square cavity shows the high computational efficiency on vector and parallel supercomputers.
- Publication:
-
Computers and Fluids
- Pub Date:
- 1991
- Bibcode:
- 1991CF.....19...33M
- Keywords:
-
- Computational Fluid Dynamics;
- Computational Grids;
- Incompressible Flow;
- Multigrid Methods;
- Relaxation Method (Mathematics);
- Viscous Flow;
- Navier-Stokes Equation;
- Parallel Computers;
- Supercomputers;
- Two Dimensional Flow;
- Vortices;
- Fluid Mechanics and Heat Transfer