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

A finite control volume technique is developed to solve two-dimensional heat conduction problems using an arbitrary quadrilateral mesh. In this technique, the integral form of the conservation of energy equation is applied to control volumes of finite size. The boundary conditions considered include specified flux, aerodynamic heating, convection, and radiation. Two example problems involving a specified heat flux boundary condition and a specified temperature in conjunction with a temperature-dependent source are presented to demonstrate quadratic convergence as the mesh is spatially refined. The temperature-dependent source problem is solved using both a rectangular and a skewed mesh; the method is capable of producing accurate results on both rectangular and skewed meshes. Numerical comparisons with a Galerkin finite element code are also presented.