Thanks Daniel for your answer,
I used the continuity equation (nabla vector velocity) to obtain the equation 
in temperature.
But actually, maybe we should use it as a constraint to my problem.
But now, how can I create this constraint ? with a new equation ?
I tried : velocity.divergence == 0 but it doesn’t work.

Thank you,

Fabien




> Le 10 oct. 2018 à 17:43, Daniel Wheeler <daniel.wheel...@gmail.com> a écrit :
> 
> Don't you still have a $\nabla . \vec{u} = 0$ equation though? It
> doesn't go away. That equation becomes like a constraint.
> 
> https://www.comsol.com/multiphysics/boussinesq-approximation
> 
> On Wed, Oct 10, 2018 at 5:58 AM fgendr01 <fabien.gend...@univ-lr.fr> wrote:
>> 
>> Hi Daniel,
>> Thank you for your answer.
>> I thank you for trying to solve my problem.
>> About my set of the equation here is my reasoning.
>> 
> 
> 
> -- 
> Daniel Wheeler
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