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Numerical solvers for radiation and conduction in high temperature gas flows. (English) Zbl 1331.80018
Summary: In this paper, the authors introduce a robust numerical technique for radiation-conduction heat transfer in the high temperature fields of gas turbine combustors. The conduction and radiation effects are analyzed by a differential and an integral equation, respectively. Using discrete ordinates for the angular discretization of the integral equation for the radiation effects and a Galerkin discretization for the heat equation, the authors propose a fast multilevel algorithm to solve the fully discretized problem. The algorithm uses the same mesh hierarchy for both radiation and conduction effects, but with two different smoothing operators. Numerical results are shown for test problems in three space dimensions, and comparisons to other methods are also given.

MSC:
80M25 Other numerical methods (thermodynamics) (MSC2010)
80A20 Heat and mass transfer, heat flow (MSC2010)
80A25 Combustion
Software:
KELLEY
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References:
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