Abstract: A new artificial compressibility method is discussed. It is a preconditional method presented by E. Turkel. We calculated the cavity flow model by explicit scheme and diagonalized implicit approximate factorization splitting scheme and compared with Chorin's artificial compressibility method. Final results show the preconditional method can relax restrict for the time step and Reynolds number and accelerated convergence.

Key words: artificial compressibilty method, preconditional method, diagonalized implicit ap-proximate factorization splitting scheme