Multigrid solution of unsteady Navier-Stokes equations using a pressure method
Abstract
A multigrid relaxation method is applied to a pressure-based implicit procedure to solve unseady, incompressible Navier-Stokes equations. The present multigrid method is a Correction Scheme according to Brandt. This method is used to solve the scalar matrices resulting from the finite-volume formulation and uses flux averaging as the restriction operator. The accuracy and computational efficiency are demonstrated with a steady state driven cavity flow and an unsteady flow over a circular cylinder case. The results are compared with single grid results using the OrthoMin conjugate gradient method and experimental data.
- Publication:
-
AIAA, Fluid Dynamics, 21st Plasma Dynamics and Lasers Conference, 21st, Seattle, WA, June 18-20, 1990. 17 p.
- Pub Date:
- June 1990
- Bibcode:
- 1990fdpd.conf.....J
- Keywords:
-
- Computational Fluid Dynamics;
- Multigrid Methods;
- Navier-Stokes Equation;
- Relaxation Method (Mathematics);
- Two Dimensional Flow;
- Unsteady Flow;
- Cavity Flow;
- Circular Cylinders;
- Computational Grids;
- Conservation Equations;
- Finite Volume Method;
- Incompressible Flow;
- Matrices (Mathematics);
- Vortex Shedding;
- Fluid Mechanics and Heat Transfer