Abstract

The new coupled solver SOAR (SIMPLE Optimized and Automated Relaxation factors) proposed by the author has been reformulated on a collocated grid and compared with the SIMPLE method for computing performance as the grid is refined. The functional relation between calculational time T and total grid points N has been studied through 22 calculations for a rectangular tank and can be expressed as T ≈ k × Nm. Here, the value of the exponent m has been found to range from 1.2 to 1.5 for the SOAR solver and from 2.4 to 3.0 for the SIMPLE solver, and it is clear that the SOAR method has better computing performance than the SIMPLE method as the grid is refined. For large numbers of grid points, which are increasingly required for assessment of confidence in computational fluid dynamics, this translates into significant and predictable reductions in run times and faster project turnaround.

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