PREDICTION OF HEAT AND FLUID FLOW IN COMPLEX GEOMETRIES USING GENERAL ORTHOGONAL COORDINATES

Abstract
A method is presented for solving the equations of motion in orthogonal curvilinear coordinates using a computational grid that conforms to the boundaries and is orthogonal in the interior. Details of the derivation are provided. The particular formulation proposed maintains simplicity, clarity, and flexibility by special treatment of the stresses and diffusive fluxes. Because the equations are simple generalizations of those that arise when specific analytic coordinates are used, standard solution methods are applicable. The method is demonstrated for two problems, one of which involves both heat and fluid flow.

This publication has 0 references indexed in Scilit: