ENHANCEMENT OF THE SIMPLE ALGORITHM BY AN ADDITIONAL EXPLICIT CORRECTOR STEP

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Abstract
Due to an assumption made on the pressure-velocity coupling for the SIMPLE algorithm and its variants, the corrected velocity can be obtained from the corrected pressure. However, substituting these quantities into the momentum equations may result in failure to satisfy the momentum equations. Therefore, the equations should be solved iterativety to obtain better velocities, thus giving a more satisfactory solution to the equations. In this article an explicit corrector step is proposed that is imposed on the first corrected velocities, which are obtained from the existing algorithms. This new corrector step has been tested by three flow problems, driven cavity flow, backward-facing step flow, and rectangular tank flow, with different Reynolds numbers. With this additional corrector step imposed on the SIMPLEC and PISO algorithms, the results show that the number of iterations can be reduced drastically due to the much better satisfaction of the momentum equations. Considerable savings in computing effort can be gained.