In this chapter the control volume finite element method is applied to solve two important kinds of problems, namely, lid-driven cavity and natural convection. The governing equations of fluid motion and heat transfer in their vorticity stream function form are used to simulate the fluid flow and heat transfer. Boundary conditions are introduced and applied in FORTRAN code. The results using the FORTRAN code are compared with previous results. These comparisons illustrate excellent agreement between the present calculations and previously published results. The calculations were performed for different governing parameters. The geometry used to solve natural convection equations is a cylinder with a sinusoidal wall in it.
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