TY - EJOU
AU - Bucchignani, Edoardo
TI - An Implicit Unsteady Finite Volume Formulation for Natural Convection in a Square Cavity
T2 - Fluid Dynamics \& Materials Processing
PY - 2009
VL - 5
IS - 1
SN - 1555-2578
AB - 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 (10^{8}). 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.
KW -
DO - 10.3970/fdmp.2009.005.037