Numerical flow analysis in a cubic cavity by the GSMAC finite element method. In the case that 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 the three-dimensional analysis. As an example, flow in a cubic lid-driven cavity which has many authorized experimental and numerical results, has been calculated at the Reynolds numbers 1 000 and 3 200. Consequently, the velocity profiles are in good agreement with the spectral method at Re=400 and 1 000 [4], and the TGL vortices, which give a three-dimensional effect, have been simulated.