A novel multidimensional characteristic modeling of incompressible convective heat transfer

Authors

Abstract

A characteristic-based approach is developed for thermo-flow with finite volume methodology (FVM) in which multidimensional characteristic (MC) scheme is applied for convective fluxes. To obtain compatibility equations and pseudo characteristics, energy equation is taken into account in the MC scheme. With this inherent upwinding technique for evaluating convective fluxes at cell interfaces, no artificial viscosity is required even at high Reynolds numbers. As benchmarks, forced convection between parallel plates and forced and mixed convection in a cavity are examined for a wide range of Reynolds, Grashof and Prandtl numbers. Results confirm the robustness of MC scheme in terms of accuracy and convergence. The results obtained by new proposed scheme are in good agreement with the standard benchmark solutions in the literature. For time descritization, fifth order Rung-Kutta and for viscous terms, the secondary cells are used. Obtained results by new characteristic method were compared by other results that were in literatures.

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