Finite element solutions for natural convection flows in a tall rectangular cavity

摘要

Two Bubnov-Galerkin, finite element solutions are proposed for the 8:1 differentially-heated cavity problem, at Pr = 0.71 and Ra = 3.4 X 10~5. The first solution is based on a velocity-pressure algorithm, characterized by equal order interpolations of velocity and pressure variables. The second solution is based on a streamfunction-vorticity formulation. In both solutions the governing differential equations are dealt with sequentially, and a Crank-Nicolson finite difference procedure is employed to march ahead in time.