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

Seaid, M.; El-Amrani, M.

Authors

M. El-Amrani



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.

Citation

Seaid, M., & El-Amrani, M. (2008). Finite Element P1 Solution of Thermal Flow past a Circular Cylinder with Radiation. International Journal of Computer Mathematics, 85(3-4), 641-656. https://doi.org/10.1080/00207160601167060

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*