Finite Element P1 Solution of Thermal Flow past a Circular Cylinder with Radiation.

Seaid, M.; El-Amrani, M.

Abstract

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 that usually appear in the Eulerian-based methods for convection-dominated problems. Numerical results are presented and comparisons between simulations with and without radiation are also illustrated.

• Journal Article Type: Article
• Publication Date: 2008
• Journal: International Journal of Computer Mathematics
• Print ISSN: 0020-7160
• Electronic ISSN: 1029-0265
• Publisher: Taylor and Francis Group
• Volume: 85
• Issue: 3-4
• Pages: 641-656
• DOI: https://doi.org/10.1080/00207160601167060
• Keywords: Finite element method; Flow past a cylinder; Galerkin-characteristic scheme; Radiative transfer; Simplified P1 model
• Public URL: https://durham-repository.worktribe.com/output/1552335
• Publisher URL: http://www.informaworld.com/smpp/content~db=all~content=a781501345?words=el-amrani*