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Free convection with gray bodies thermal transfer. Analysis and approximation by finite element methods

Abstract : We study a steady-state free (or mixed) convection model in 2 or 3 dimensions of space, taking into account radiative thermal transfer of grey bodies separated by a non participating media. The existence of a weak solution is proved and the uniqueness is obtained when the viscosity and the thermal conductivity of the fluid are large enough. Then, we discretize the model using classical finite element schemes and we prove in detail the existence, uniqueness and the convergence of the discrete solution (when the viscosity and the thermal conductivity are large enough and the step size is small enough).
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https://hal.inria.fr/inria-00256562
Contributor : Jerome Monnier <>
Submitted on : Friday, February 15, 2008 - 4:07:33 PM
Last modification on : Wednesday, March 10, 2021 - 1:50:03 PM
Long-term archiving on: : Thursday, May 20, 2010 - 10:15:13 PM

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  • HAL Id : inria-00256562, version 1

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Jerome Monnier. Free convection with gray bodies thermal transfer. Analysis and approximation by finite element methods. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2000. ⟨inria-00256562⟩

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