A NEW ALGORITHM SOAR OF THE COUPLED SOLVER FOR AN INCOMPRESSIBLE FLOW

摘要

The new coupled solver SOAR (SIMPLE Optimized and Automated Relaxation Factors) has succeeded in getting the coupled linear equations for an incompressible flow with the coefficient matrix of all non-zero diagonal elements and solving them by the iterative method. Combination of the SOAR and AMG-BiCGSTAB (Algebraic Multigrid -^sBi-Conjugate Gradient Stabilized method) method realizes an almost liner dependence of the computational time on total grid number It is the main result of the present study because the minimum computational complexity solving the discretized Navier Stokes equations is theoretically proportional to the number of the grid points.