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Numerical simulation of natural and mixed convection flows by Galerkin-Characteristic method.

El-Amrani, M. and Seaïd, M. (2007) 'Numerical simulation of natural and mixed convection flows by Galerkin-Characteristic method.', International journal for numerical methods in fluids., 53 (12). pp. 1819-1845.

Abstract

A numerical investigation is performed to study the solution of natural and mixed convection flows by Galerkin-characteristic method. The method is based on combining the modified method of characteristics with a Galerkin finite element discretization in primitive variables. It can be interpreted as a fractional step technique where convective part and Stokes/Boussinesq part are treated separately. The main feature of the proposed method is that, due to the Lagrangian treatment of convection, the Courant-Friedrichs-Lewy (CFL) restriction is relaxed and the time truncation errors are reduced in the Stokes/Boussinesq part. Numerical simulations are carried out for a natural convection in squared cavity and for a mixed convection flow past a circular cylinder. The computed results are compared with those obtained using other Eulerian-based Galerkin finite element solvers, which are used for solving many convective flow models. The Galerkin-characteristic method has been found to be feasible and satisfactory.

Item Type:Article
Additional Information:
Keywords:Natural convection, Mixed convection, Modified method of characteristics, Galerkin finite element method.
Full text:Full text not available from this repository.
Publisher Web site:http://dx.doi.org/10.1002/fld.1384
Record Created:18 Jan 2008
Last Modified:08 Apr 2009 16:37

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