COMSOL Multiphysics- Mathematics

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SUMMARY

This discussion focuses on modeling the Radiative Transfer Equation (RTE) using COMSOL Multiphysics, specifically addressing the challenges of defining integral terms for scattering and ensuring three-variable dependence on position, time, and direction vector. The user employed the Coefficient Form PDE but encountered difficulties in defining the direction vector and integrating terms. A recommendation was made to avoid treating the differential part as a PDE and instead to incorporate integral terms directly for scattering approximations, with a reference to a COMSOL blog post for further guidance.

PREREQUISITES
  • Understanding of Radiative Transfer Equation (RTE)
  • Familiarity with COMSOL Multiphysics, specifically Coefficient Form PDE
  • Knowledge of integro-differential equations
  • Basic concepts of scattering in radiative transfer
NEXT STEPS
  • Read the COMSOL blog post on "4 Methods to Account for Radiation in Participating Media"
  • Explore how to define direction vectors in COMSOL Multiphysics
  • Research techniques for integrating terms in differential equations
  • Investigate the implementation of three-variable dependence in COMSOL models
USEFUL FOR

Researchers, engineers, and physicists working on radiative transfer modeling, particularly those using COMSOL Multiphysics for complex simulations involving scattering and multi-variable dependencies.

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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