Multigrid solution of Neumann pressure problem for viscous flows using primitive variables
Abstract
The multigrid (MG) technique has been advanced for use with the Neumann boundaryvalue problem in clustered curvilinear orthogonal coordinates. This comprises an important step in the analysis of viscous flows using the velocitypressure formulation of the NavierStokes equations. With successive overrelaxation (SOR) as the smoothing operator and with suitably formulated restriction and coarsegridcorrection operators, a 4grid procedure enhances the efficiency of finegrid solutions of the Neumann problem by a factor of 3 to 5, depending on the problem parameters. Thy influence of the smoothing operator is also examined by employing the alternatingdirection implicit and the strongly implicit techniques instead of SOR.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1983
 Bibcode:
 1983aiaa.meetU....G
 Keywords:

 Computational Fluid Dynamics;
 Ducted Flow;
 Fluid Pressure;
 NavierStokes Equation;
 Neumann Problem;
 Viscous Flow;
 Coordinate Transformations;
 Data Smoothing;
 Flow Velocity;
 Grids;
 Iterative Solution;
 Primitive Equations;
 Relaxation Method (Mathematics);
 Spherical Coordinates;
 Fluid Mechanics and Heat Transfer