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Should I use the ODE (domain or global) interfaces or PDE (unsure about which form to use) interfaces for modeling a time and location dependent porosity equation?

Aurora Jahan Nuclear Engineering, KTH

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I am trying to model the sintering phenomenon with 1D uniaxial compaction. One of the equations I have to solve for my sintering model is the following:

where is the porosity and is the component of the strain rate tensor . The dependent variable of this equation, porosity , will be used as an input for other algebraic functions I will implement under the global definitions.

I am a little confused about whether I should use a PDE or an ODE interface to model this equation. On one hand, I am under the impression that the ODE interfaces do not deal with location dependencies, they can only deal with time dependencies. From that idea, I feel that I should use the one of the PDE interfaces because the strain rate tensor component will change based on the location of the geometry.

But on the other hand, I plan to implement the equation by calling comp1.solid.Ldz from the solid mechanics module directly. So I feel like the mathematics interface will not have to calculate any location-dependent differentials. So an ODE should suffice.

Can someone shed some light on how I can pull this off? Thank you.


1 Reply Last Post 6 mai 2024, 13:29 UTC−4
Jeff Hiller COMSOL Employee

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Posted: 7 months ago 6 mai 2024, 13:29 UTC−4

Hello Aurora,

If I understand your post correctly, you want to solve a distributed ODE defined over a domain, and therefore you will want to use "Domain ODEs and DAEs".

Best regards,

Jeff

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Jeff Hiller
Hello Aurora, If I understand your post correctly, you want to solve a distributed ODE defined over a domain, and therefore you will want to use "Domain ODEs and DAEs". Best regards, Jeff

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