The SIMPLE method and its various modified versions have been widely used over the past two decades in the fluid flow modeling. One important feature in these SIMPLE-like algorithms is the use of a pressure correction in the pressure-correction equation, which is known to be effective in correcting the velocity field but not so in correcting the pressure field. This paper presents a modified SIMPLE algorithm to overcome this problem. This modified SIMPLE method, while still using the pressure correction for correcting the velocity field like the SIMPLE method, introduces a secondary pressure correction for correcting the pressure field. Numerical calculations of gas-solid flow in a fluidized bed suggest that this method can accelerate convergence, improve accuracy and save CPU time, compared to the SIMPLE method.

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