Combination of projection and Galerkin finite element methods to solve the problem of free convection in enclosures with complex geometries

Document Type: Article

Author

Mechanical Engineering Department, Yasouj university, Yasouj, Iran.

Abstract

In the present work, a numerical method to solve the problem of free convec-
tion in enclosures with complex geometries is developed. This development is
executed by the combination of projection and Galerkin nite element methods.
Nine-node (quadratic) quadrilateral elements are used to generate the grid for
the eld of the problem. The results show that the convergence of this method
is acceptable, while there is no necessity to use upwind schemes. Increasing
the numbers of nodes and decreasing the time increment yield a more accurate
solution. The advantages of this numerical method are the ability to model any
complex geometry and no necessity to use upwind schemes.

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Main Subjects