Eventos Anais de eventos
ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
STUDY OF PARAMETERS OF A MULTIGRID METHOD FOR A NEW APPROACH USING SIMPLEC PRESSURE-VELOCITY COUPLING
Submission Author:
Jean Michael Borges de Oliveira , PR
Co-Authors:
Jean Michael Borges de Oliveira, Luciano Araki, Marcio Pinto, Simone de Fátima Tomazzoni Goncalves
Presenter: Jean Michael Borges de Oliveira
doi://10.26678/ABCM.ENCIT2018.CIT18-0473
Abstract
This work reports on the analysis of a multigrid method applied to the solution of the incompressible Navier-Stokes equations, modelling the flow in the lid-driven square cavity. The mathematical model is discretized by the Finite Volume Method, with second order approximation schemes, uniform non-staggered grids, pressure-velocity coupling by the SIMPLEC algorithm and Gauss-Seidel as main solver. In order to accelerate (speed-up) the convergence, a Full Approximation Scheme (FAS) multigrid method, with V-cycles, is applied on the SIMPLEC iterations, by a new developed scheme. It consists of keeping on the SIMPLEC algorithm but the pressure-correction and momentum equations are solved by independent V-cycles. The performances of the new scheme and the standard multigrid SIMPLEC approaches are compared. The efficiency and the accuracy of the proposed scheme are also assessed by some complexity tests and error analyses. The influence of some multigrid parameters, such as the number of inner iterations, the number of levels and transfer operators are also analyzed. Finally, computed results for different Reynolds numbers on the governing equations also give some idea of this physical parameter influence on the overall model performance.
Keywords
Multigrid, Navier-Stokes, V-cycle, Finite Volumes, SIMPLEC
