New relaxation methods for incompressible flow problems
Abstract
The primitive variable form of the steady incompressible Navier-Stokes equations are solved by three different variants of a multi-grid method. These variants differ in the way the pressure field is updated during the relaxation process. Two of the methods use the pressure as dependent variable, while the third one uses the pressure gradients as dependent variables. The efficiency of the methods is tested on the driven cavity problem. The speed of the multi-grid method is demonstrated for different numbers of levels which are utilized during the relaxations. The relative efficiency of the three methods is compared for some meshes and Reynolds numbers.
- Publication:
-
Numerical Methods in Laminar and Turbulent Flow
- Pub Date:
- 1983
- Bibcode:
- 1983nmlt.proc..627F
- Keywords:
-
- Computational Fluid Dynamics;
- Computational Grids;
- Incompressible Flow;
- Navier-Stokes Equation;
- Relaxation Method (Mathematics);
- Run Time (Computers);
- Convergence;
- Data Smoothing;
- Pressure Gradients;
- Reynolds Number;
- Steady Flow;
- Fluid Mechanics and Heat Transfer