Blockimplicit multigrid calculation of threedimensional recirculating flows
Abstract
An efficient finite difference calculation procedure for threedimensional recirculating flows is presented. The algorithm is based on a coupled solution of the threedimensional momentum and continuity equations in primitive variables by the multigrid technique. A symmetrical coupled GaussSiedel technique is used for iterations and is observed to provide good rates of smoothing. Calculations were made of the fluid motion in a threedimensional cubic cavity with a moving top wall. The efficiency of the method is demonstrated by performing calculations at different Reynolds numbers with finite difference grids as large as 66 x 66 x 66 nodes. The CPU times and storage requirements for these calculations are observed to be very modest. The algorithm has the potential to be the basis for an efficient general purpose calculation procedure for practical fluid flows.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 1985
 Bibcode:
 1985STIN...8611434V
 Keywords:

 Algorithms;
 Computerized Simulation;
 Finite Difference Theory;
 Three Dimensional Flow;
 Computational Grids;
 Computer Programs;
 Continuity Equation;
 Fluid Dynamics;
 Gauss Equation;
 Run Time (Computers);
 Fluid Mechanics and Heat Transfer