We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham Research Online
You are in:

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.


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:
Record Created:18 Jan 2008
Last Modified:08 Apr 2009 16:37

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitterExport: EndNote, Zotero | BibTex
Look up in GoogleScholar | Find in a UK Library