Optimization of the iteration parameters of the simulation of incompressible flow

A. Arbel and A. Shklyar

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 82, issue 1, 104-117

Abstract: In optimizing the iteration parameters of the SIMPLE numerical procedure, a genetic algorithm (GA) that searches for a minimum calculation time in a space of iteration numbers was developed. A methodology has been presented for the numerical solution of natural convection in a squeezed cavity at Rayleigh numbers of 106. A double-staggered-grid numerical method which leads to generalization of the SIMPLE-like method for external and internal problems was used to optimize the iteration parameters for a single grid. The momentum equation was treated by the successive overrelaxation and the Gauss-Seidel methods. The pressure correction equation was solved by the conjugate gradient method with an incomplete factorization preconditioner. The temperature equation was solved by the bi-conjugate gradient-stabilized method with incomplete factorization preconditioner.

Keywords: General curvilinear co-ordinates; Incompressible flow; Natural convection; Genetic algorithm; Saddle point problems (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2011:i:1:p:104-117

DOI: 10.1016/j.matcom.2010.11.010

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