COMPUTATION OF ANISOTROPIC CONDUCTION USING UNSTRUCTURED MESHES

This paper presents a conservative finite volume scheme for computing conduction hear transfer in materials with anisotropic conductivity Un structured solution-adaptive meshes composed arbitrary convex polyhedr a are used. Discrete energy balances are written over these polyhedra. Temperature gradients required for the evaluation of secondary diffus ion fluxes are found by linens reconstruction. A fully implicit scheme is used for unsteady problems. The resulting discrete equations are s olved using an algebraic multigrid scheme. Schemes for hanging-node an d conformal adaption are implemented. Computations are performed using a variety of triangular and quadrilateral meshes. The results are com pared to published analytical and numerical solutions and are shown to be satisfactory.