Abstract

An uncoupled algorithm for the solution of the steady-state thermal energy equation in three-dimensional generalized curvilinear coordinates for an incompressible flow is described. The algorithm uses a higher-order flux-difference splitting technique for the convective terms and a second-order central difference scheme for the conductive terms. The equation is solved using a line-relaxation technique that allows the use of very large time steps, leading to rapid convergence. Preliminary results that demonstrate the code`s predictive capability are presented. The results agree well with test cases for which analytical solutions can be obtained and with classical boundary-layer theory.

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