Optimization of the iteration parameters of the simulation of incompressible flow

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.