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The numerical solution of boundary value problems with curved domains in physics and engineering by conventional finite difference and finite element programs typically requires an enormous investment of time and effort by the user during the problem setup stage; an investment of several manweeks may be required to extract from engineering drawings a sufficiently high fidelity approximation to the problem domain in terms of a catenation of triangular, rectangular, and/or isoparametric elements or cells. Such tedious manual selection of an appropriate mesh for finite element or finite difference programs may, in fact, be necessary for highly complex structures; however, the authors describe their expermnces with the implementation of an alternative suggested by Gordon and Hall [4]. The discussion is restricted mainly to finite difference schemes, although finite element models can easily be developed along the same lines.

Numerical Solution of Steady State Heat Flow Problems Over Curved Domains