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Variable Coefficients in Coefficient form PDE

Posted 2020年5月21日 GMT-4 17:46 Parameters, Variables, & Functions, Equation-Based Modeling Version 5.3 2 Replies

Kyle
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Hello,

I am working to solve the following two equations in the attached images in COMSOL for a non-dimensionalized reaction diffusion problem. I am using the coefficient form PDE module in COMSOL 5.3. For some reason, the result I obtain is vastly different depending on if I define the term to be inside d_a (the damping coefficient), or if i divide the whole equation by and define c (the diffusion coefficient) and f (the source term) appropriately. These two cases should be entirely equivalent, but they are significantly different. Why? Which is correct?

Thank you!

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2 Replies Last Post 2020年5月22日 GMT-4 09:47
Jeff Hiller COMSOL Employee

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Posted: 5 years ago 2020年5月21日 GMT-4 18:52
Updated: 5 years ago 2020年5月21日 GMT-4 18:54

You can't simply move the (1-r^2) term inside the divergence, if I understand correctly what you're doing.

is not the same as

Jeff

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Jeff Hiller
You can't simply move the (1-r^2) term inside the divergence, if I understand correctly what you're doing. 1/(2*(1-r^2))*\nabla . \nabla \phi is not the same as \nabla . ((1/(2*(1-r^2))*\nabla \phi) Jeff
Kyle
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Posted: 5 years ago 2020年5月22日 GMT-4 09:47
Updated: 5 years ago 2020年5月22日 GMT-4 09:47

aha - i'm just incapable of reading the equation in comsol properly, of course they are not the same.. thanks..

aha - i'm just incapable of reading the equation in comsol properly, of course they are not the same.. thanks..

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