Insulating boundary condition for convection–diffusion equations for Boundary pde problems

12 months ago by

Hi all, 


I am trying to solve convection–diffusion (CD) equation on a unit sphere. I will be solving the CD equation only on the surface of the sphere with the concentration conserved all the time. In other words, no flux comes in or goes out of the surface of unit sphere.

How can I implement such insulating boundary conditions on the surface ?

I cannot set the concentration or derivative of the concentration to be zero on the boundary.   

Will appreciate any quick help.





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3 Answers

12 months ago by
Where have you applied concentration boundary conditions or flux?
12 months ago by

I haven't tried applying yet. 

Simplifying the question: How to make the concentration conservative using boundary conditions? 

I think then we have to apply essential boundary conditions on the surface so that It will have always  constant concentration on surface (but flux will change)
written 12 months ago by hirshikesh  
12 months ago by
We did something similar in this paper:

There are at least two ways of doing this, both described in the numerical experiments section of this paper.
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