Numerical simulation of natural convection in a square cavity by SIMPLE-generalized differential quadrature method

摘要

This is the first endeavor whereby the two-dimensional incompressible Navier-Stokes equations in primitive variable form are solved by using the generalized differential quadrature method with SIMPLE strategy. A new approach is proposed to enforce the continuity condition on the boundary and to implement the boundary condition for pressure correction equation. It is demonstrated that accurate numerical results can be obtained by the present method using a few grid points. It is also shown that the 'multi-stage' process can enhance the convergence rate of numerical simulation.