Finite Element P1 Solution of Thermal Flow past a Circular Cylinder with Radiation (SI - CMMSE - 2006)
Résumé
We propose a finite element method for solving combined convection and radiation in laminar flow past a circular cylinder. The flow problem is described by the thermal incompressible Navier-Stokes equations subject to a Boussinesq approach. To incorporate radiation into the model we consider a simplified P1 approximation of the radiative transfer equation. The numerical solution of the governing equations is performed by a Galerkin-characteristic method using finite element discretization. The method is accurate and stable for a wide range of optical scales and Reynolds numbers. In addition, the characteristic treatment in the method eliminates most of the numerical difficulties appear usually in the Eulerian-based methods for convection-dominated problems. Numerical results are presented and comparisons between simulations with and without radiation are also illustrated
Origine : Fichiers produits par l'(les) auteur(s)
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