A NOTE ON THE APPLICATION OF THE AVERAGE CORRECTION TECHNIQUE

This note develops an average correction technique for accelerating th e rate of convergence of the SIMPLE-like algorithm by implementing the average pressure correction method as proposed by Wen and Ingham (Int . j. numer, methods fluids, 17, 385-400 (1993); 19, 889-903 (1994)) wi th an average velocity correction. The technique is illustrated by con sidering the classical problem of fluid flow over a backward-facing st ep using (i) no average correction, (ii) an average velocity correctio n, (iii) an average pressure correction and (iv) both average velocity and pressure corrections. When both average velocity and pressure cor rections are employed, it is found that the number of iterations requi red for convergence is almost independent of the initial guessed value s of fluid velocity and pressure and the fastest rate of convergence m ay be achieved.