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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.

Cite This Article

APA Style
Bucchignani, E. (2009). An implicit unsteady finite volume formulation for natural convection in a square cavity. Fluid Dynamics & Materials Processing, 5(1), 37-60. https://doi.org/10.3970/fdmp.2009.005.037
Vancouver Style
Bucchignani E. An implicit unsteady finite volume formulation for natural convection in a square cavity. Fluid Dyn Mater Proc. 2009;5(1):37-60 https://doi.org/10.3970/fdmp.2009.005.037
IEEE Style
E. Bucchignani, "An Implicit Unsteady Finite Volume Formulation for Natural Convection in a Square Cavity," Fluid Dyn. Mater. Proc., vol. 5, no. 1, pp. 37-60. 2009. https://doi.org/10.3970/fdmp.2009.005.037



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