A COMSOL Multiphysics- Mathematics

[shar333]

TL;DR

Mathematics module of COMSOL

Hi everyone, Has anyone tried to model Radiative Transfer equation on comsol? I am stuck at defining the integral term which includes scattering. Also , how do i make my functions have 3 variable dependence as RTE has dependence on position, time and direction vector

 

[sysprog]

Hi, @shar333; welcome aboard the Physics Forums -- can you please tell us the specifics of the problem that you're trying to solve, and show us your attempt at solving it? -- if you do that, and you're thereafter still encountering difficulties, we'll try to be of assistance . . .

 

[shar333]

I want to model this equation

I used Coefficient form PDE.

but i am not sure how to define s^ (direction vector)
not able to define the integration either.

how do i add integral terms to differential equations?

how can i make my function dependent on 3 variables(s, r and t)

 

[sysprog]

how do i add integral terms to differential equations?

RTE is an integro-differential equation. I think that it's not a good strategy to try to handle its differential part as a PDE and then bring in the integral for the scattering approximation. Please read this: https://www.comsol.com/blogs/4-methods-to-account-for-radiation-in-participating-media/ . . .

 

[shar333]

RTE is an integro-differential equation. I think that it's not a good strategy to try to handle its differential part as a PDE and then bring in the integral for the scattering approximation. Please read this: https://www.comsol.com/blogs/4-methods-to-account-for-radiation-in-participating-media/ . . .

That makes a lot of sense. Thanks

 

[sysprog]

That makes a lot of sense. Thanks

After you've read it, please get back to us -- thanks . . .