COMSOL Multiphysics- Mathematics

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Discussion Overview

The discussion revolves around modeling the Radiative Transfer Equation (RTE) using COMSOL Multiphysics, focusing on the challenges of defining integral terms related to scattering and establishing a three-variable dependence on position, time, and direction vector.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant seeks assistance with modeling the RTE, specifically regarding the integral term that includes scattering and the three-variable dependence.
  • Another participant requests more details about the problem and the attempts made by the original poster to provide better assistance.
  • A participant expresses uncertainty about how to define the direction vector and integrate terms into differential equations.
  • There is a suggestion that handling the differential part of the RTE as a PDE may not be the best approach, advocating for a different strategy regarding the integral for scattering approximation.
  • A later reply acknowledges the suggestion and expresses appreciation for the advice given.

Areas of Agreement / Disagreement

Participants have not reached a consensus, as there are differing views on the best approach to model the RTE and how to handle its integral and differential components.

Contextual Notes

The discussion includes unresolved questions about the specifics of defining variables and integrating terms, which may depend on the definitions and assumptions made in the modeling process.

shar333
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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
 
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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 . . .
 
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I want to model this equation
rte.PNG


I used Coefficient form PDE.
1628848642074.png

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)
 
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shar333 said:
That makes a lot of sense. Thanks
After you've read it, please get back to us -- thanks . . .
 

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