Open Access

ARTICLE

An Implicit Unsteady Finite Volume Formulation for Natural Convection in a Square Cavity

Edoardo Bucchignani¹

1 Centro Italiano Ricerche Aerospaziali,Via Maiorise, 81043Capua (CE) - Italy

Fluid Dynamics & Materials Processing 2009, 5(1), 37-60. https://doi.org/10.3970/fdmp.2009.005.037

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.

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