Numerical Flow Analysis in a Cubic Cavity by the GSMAC Finite-Element Method : In the Case Where the Reynolds Numbers are 1000 and 3200

Abstract

In previous simulations, the modified GSMAC method, which is more applicable to in-out flow problems, was proposed. In the present paper, however, this scheme is extended to three-dimensional analysis. As an example, flow in a cubic lid-driven cavity having many verified experimental and numerical results has been calculated at the Reynolds numbers of 1000 and 3200. Consequently, the velocity profiles are in good agreement with those of the pseudospectral method at Re=400 and 1000, and the TGL vortices, which give a three-dimensional effect, have been simulated.