The proposed diagonal method has been verified by the solutions of the rotated lid-driven cavity flow. Using FA method, Modifed PISO/SIMPLER scheme on a non-staggerd grid, plus a special treatment of pressure boundary conditions proposed by Lin , et al, stable, fast convergent and grid-independent solutions are obtained. Compared with the traditional saw-tooth method, The diagonal method can improve the accuracy of solution. The fluid flows and heat transfer in a lake is an important problem in hydraulics and environmental engineering. It is a very difficult problem due to its complex boundaries. This research gives the solutions of lake flows by both the diagonal and saw-tooth methods. Finally the solution of flow through a grooved channel is presented. This problem is important in electronic cooling and heat transfer since it is widely recognized that a grooved channel can enhance the heat transfer.
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