Implicit Computational Method for Incompressible Flows with QSI Scheme on Collocated Grid

Abstract

An implicit numerical algorithm (C-ISMAC method) has been proposed for incompressible flows with a collocated grid system. The C-ISMAC method, which is based on an implicit SMAC method proposed for staggered grid system, enables us to utilize higher-order schemes for discretization as well as to largely decrease the necessary computational time. This method was applied to cavity flows with a fifth-order QSI scheme for convection terms. As a result, it was shown that the computational speed becomes two to three times faster than a usual explicit method and that the computational accuracy of the QSI scheme is still preserved in the C-ISMAC method.