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Optimization of the iteration parameters of the simulation of incompressible flow

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  • Arbel, A.
  • Shklyar, A.

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.

Suggested Citation

  • Arbel, A. & Shklyar, A., 2011. "Optimization of the iteration parameters of the simulation of incompressible flow," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(1), pages 104-117.
    • Handle: RePEc:eee:matcom:v:82:y:2011:i:1:p:104-117
    DOI: 10.1016/j.matcom.2010.11.010
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