A NEW METHOD FOR ACCELERATING THE RATE OF CONVERGENCE OF THE SIMPLE-LIKE ALGORITHM

A pressure correction formula is proposed for the SIMPLE-like algorith m in order to improve the rate of the convergence when solving laminar Navier-Stokes equations when there is rapidly varying pressure. Based on global mass conservation, a line average pressure correction is de rived by integration of the momentum equation for approximate one-dime nsional flow. The use of this formula with the SIMPLE-like algorithm c an rapidly build up the pressure distribution in the region where the pressure undergoes a very large change, which normally causes the rate of convergence of the SIMPLE or the SIMPLEC schemes to be slow. In or der to illustrate the technique, the performances of SIMPLE and of SIM PLEC with the average pressure correction are investigated for axisymm etric flow past and through a sampler. A comparison of these two techn iques shows that the average pressure correction proposed in this pape r significantly accelerates the rate of convergence.