A Body-Fitted Finite Difference Method for Heat Conduction Analysis
Keywords:
Body-Fitted Coordinate, Finite Difference Method, Heat conductionAbstract
This paper illustrates the implementation and performance of Body-Fitted Finite Difference Method in simulating the steady two-dimensional heat conduction problems. Firstly, the initial grid is generated by the Transfinite Interpolation (TFI) technique. Then, the good quality mesh is obtained by smoothing the initial grid by the elliptic grid generator. The numerical solution is done by the system of finite difference equations written on the Body-Fitted Coordinate (BFC) and the thermal conditions assigned on the domain boundaries. It can be seen that the present method can accurately solve the heat conduction problems in complex geometries.
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