@Article{fdmp.2009.005.037, AUTHOR = {Edoardo Bucchignani}, TITLE = {An Implicit Unsteady Finite Volume Formulation for Natural Convection in a Square Cavity}, JOURNAL = {Fluid Dynamics \& Materials Processing}, VOLUME = {5}, YEAR = {2009}, NUMBER = {1}, PAGES = {37--60}, URL = {http://www.techscience.com/fdmp/v5n1/24427}, ISSN = {1555-2578}, ABSTRACT = {This article describes an implicit method for the solution of time dependent Navier-Stokes equations written in terms of vorticity and velocity. The field equations are discretized using a finite volume technique over quadrilateral meshes.
The numerical code has been applied to the classical window cavity test, employing a fine stretched non-uniform grid, in order to provide an accurate steady solution for a high value of the Rayleigh number (108). It has also been performed a simulation for a value of Rayleigh larger than the critical value, in order to show the capabilities of the proposed method to properly simulate the unsteady regime.}, DOI = {10.3970/fdmp.2009.005.037} }