TY - JOUR
TI - Numerical study of natural convection in a square cavity under non-boussinesq conditions
AU - Hamimid Saber
AU - Guellal Messaoud
AU - Bouafia Madiha
JN - Thermal Science
PY - 2016
VL - 20
IS - 5
SP - 1509
EP - 1517
PT - Article
AB - Natural convection in a differentially heated cavity has been carried out  under large temperature gradient. The study has been performed by direct  simulations using a two-dimensional finite volume numerical code solving the  time-dependent Navier-Stokes equations under the Low Mach Number  approximation. The LMN model constitutes an important numerical problem for  low speed flows. It is based on the filtering of acoustic waves from the  complete Navier-Stokes equations. Various simulations were conducted  including constant or variable transport coefficients and both small and  large temperature differences. A comparison between an incompressible code  based on the Boussinesq approximation and the LMN compressible code shows  that the incompressible model is not sufficient to simulate natural  convective flow for large temperature differences.