Sharif University of Technology Scientia Iranica 1026-3098 25 3 2018 06 01 Combination of projection and Galerkin finite element methods to solve the problem of free convection in enclosures with complex geometries 1189 1196 4332 10.24200/sci.2017.4332 EN Gholamreza Zendehbudi Mechanical Engineering Department, Yasouj university, Yasouj, Iran. Journal Article 2016 05 28 In the present work, a numerical method to solve the problem of free convec-<br />tion in enclosures with complex geometries is developed. This development is<br />executed by the combination of projection and Galerkin nite element methods.<br />Nine-node (quadratic) quadrilateral elements are used to generate the grid for<br />the eld of the problem. The results show that the convergence of this method<br />is acceptable, while there is no necessity to use upwind schemes. Increasing<br />the numbers of nodes and decreasing the time increment yield a more accurate<br />solution. The advantages of this numerical method are the ability to model any<br />complex geometry and no necessity to use upwind schemes. https://scientiairanica.sharif.edu/article_4332_91cc15cbf7fac62fd42d1c641a21ad8d.pdf