Non Boussinesq approximation
Hi,
I need to simulate natural convection in square cavity (bottom wall heated) without using Boussinesq approximation. I need to take the density changes into account with nonBoussinesq approximation. Can I solve this with an incompressible solver with treating density as constant? I need help about the formulation and way of solving. With regards, Hari 
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Non Boussinesq approximation
Thank you for replying. I need to develop a pressure based solver without boussinesq approximation. Is it possible to work on incompressible flows without treating density as constant.

If the density can vary, then the flow by definition is not incompressible. however, you can develop segregated solvers for variable density flows. One example of such a solver can be found in a JCP paper by Hou and Mahesh. If you put their names into google scholar, the second or third entry will point you to a pdf version of that paper.

Non Boussinesq approximation
Thankyou for replying.
I was referring to the following ASME J.heat transfer paper where they say the flow is incompressible with non boussinesq approximation in a differentially heated cavity. I have mentioned the details of the paper below. A Numerical Simulation of Combined Radiation and Natural Convection in a Differential Heated Cubic Cavity P. Kumar and V. Eswaran J. Heat Transfer,2010,Volume 132,Issue 2, 
Non Boussinesq approximation
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