### Free convection in Water Glass

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1

Dear all,

I am new at FEniCS and programming.

I wanted to make a model similar to this one:

I did not found any similar model to this specific problem in FEniCS.

I think this was achieved using the Boussinesq model, but I do no understand how to implement the gravity contribution.

I am trying to adapt one old model that I found here:

http://www.karlin.mff.cuni.cz/~hron/fenics-tutorial/boussinesq/doc.html

I am new to pdes and I know that I am not beeing very objective here. However, if anybody could at least share some bibliography on this, it would be extremely helpful.

Thanks in advices.

Jon

Reference:

https://www.comsol.com/model/free-convection-in-a-water-glass-195

I am new at FEniCS and programming.

I wanted to make a model similar to this one:

I did not found any similar model to this specific problem in FEniCS.

I think this was achieved using the Boussinesq model, but I do no understand how to implement the gravity contribution.

I am trying to adapt one old model that I found here:

http://www.karlin.mff.cuni.cz/~hron/fenics-tutorial/boussinesq/doc.html

I am new to pdes and I know that I am not beeing very objective here. However, if anybody could at least share some bibliography on this, it would be extremely helpful.

Thanks in advices.

Jon

Reference:

https://www.comsol.com/model/free-convection-in-a-water-glass-195

Community: FEniCS Project

### 1 Answer

2

It looks like the problem you want to solve is described fully here :

https://task.gda.pl/files/quart/TQ2003/03/TQ307F-E.PDF

For a 101 regarding fundamental processes :

https://en.wikipedia.org/wiki/Natural_convection

And a nice-looking bit of FEniCS software :

https://github.com/geo-fluid-dynamics/phaseflow-fenics

https://task.gda.pl/files/quart/TQ2003/03/TQ307F-E.PDF

For a 101 regarding fundamental processes :

https://en.wikipedia.org/wiki/Natural_convection

And a nice-looking bit of FEniCS software :

https://github.com/geo-fluid-dynamics/phaseflow-fenics

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