Dr Mohammed Seaid m.seaid@durham.ac.uk
Associate Professor
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* |
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