Body fitted method with cartesian coordinates for solving viscous fluid flow and heat transfer problems

A body fitted unstructured numerical method which takes advantage of Cartesian coordinates and reserves irregular control volumes near boundaries was studied for solving incompressible viscous fluid flow and heat transfer problems. The conservation equations were solved in the cells that are intersected by the wall according to the traditional methods without interpolation and are discretized using collocated grids with all discrete dependent variables located at common nodes throughout domain. This scheme is of body fitting which is well suited to simulate fluid flow and heat transfer problems on general complex boundaries. To test the accuracy of this approach, it was applied to two benchmark cases: flow between two coaxial cylinders' surfaces; flow in a 2-D inclined driven cavity. Agreement was found with analytical, numerical benchmark and STAR-CD results. All these show that this method is validated for viscous fluid flow and heat transfer problems.