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Effective Permittivity

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Hello,

for a volume, with an applied electric potential, of multiple domains, with separately defined material properties, under the results section after the model is solved, within the derived variables, there is an option for material properties-> permittivity (xx,xy,etc.) Does anyone know how this is calculated? The model I have should be effectively anisotropic for the effective permittivity of all domains, and I am getting 3 numbers that match for the xx,yy, and zz direction and cannot find the way that comsol attempts to calculate this in the reference guides.

Thanks.


1 Reply Last Post 4 nov 2021, 16:26 GMT-4
Jeff Hiller COMSOL Employee

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Posted: 3 years ago 4 nov 2021, 16:26 GMT-4
Updated: 3 years ago 4 nov 2021, 17:16 GMT-4

Hello Denise,

If I understand your post correctly, some information needed to answer your question is missing from your post. If under Derived Values you're asking the software to compute, say, a Volume Average of a particular quantity, then the returned value is computed by computing the volume average of that quantity, i.e. the volume integral of that quantity over the selected domains divided by the volume of the selected domains (which is the integral of 1 over the selected domains). If you ask for a Volume Maximum, then that's what's returned. And so on.

For more information on Derived Values - or if I misunderstood you - see COMSOL Multiphyics Reference Manual, version 5.6 page 1564 and following.

Best,

Jeff

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Jeff Hiller
Hello Denise, If I understand your post correctly, some information needed to answer your question is missing from your post. If under Derived Values you're asking the software to compute, say, a Volume Average of a particular quantity, then the returned value is computed by computing the volume average of that quantity, i.e. the volume integral of that quantity over the selected domains divided by the volume of the selected domains (which is the integral of 1 over the selected domains). If you ask for a Volume Maximum, then that's what's returned. And so on. For more information on Derived Values - or if I misunderstood you - see COMSOL Multiphyics Reference Manual, version 5.6 page 1564 and following. Best, Jeff

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