NUMERICAL-SOLUTION OF AXISYMMETRICAL HEAT-CONDUCTION PROBLEMS USING FINITE CONTROL-VOLUME TECHNIQUE

A finite control volume technique is developed to solve two-dimensiona l heat conduction problems using an arbitrary quadrilateral mesh. In t his technique, the integral form of the conservation of energy equatio n is applied to control volumes of finite size. The boundary condition s considered include specified flux, aerodynamic heating, convection, and radiation. Two example problems involving a specified heat flux bo undary condition and a specified temperature in conjunction with a tem perature-dependent source are presented to demonstrate quadratic conve rgence as the mesh is spatially refined. The temperature-dependent sou rce problem is solved using both a rectangular and a skewed mesh; the method is capable of producing accurate results on both rectangular an d skewed meshes. Numerical comparisons with a Galerkin finite element code are also presented.