Finite Element P1 Solution of Thermal Flow past a Circular Cylinder with Radiation (SI - CMMSE - 2006)

Mohammed Seaid (1) , El-Amrani Mofdi (2)

1 Fachbereich Mathematik, AG Technomathematik
2 Departamento de Matemática Aplicada

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

Mots clés: Physical Sciences

Mohammed Seaid, El-Amrani Mofdi. Finite Element P1 Solution of Thermal Flow past a Circular Cylinder with Radiation (SI - CMMSE - 2006). International Journal of Computer Mathematics, 2008, 85 (03-04), pp.641-656. ⟨10.1080/00207160601167060⟩. ⟨hal-00545347⟩