Computing second-order derivative of Temperature field

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I am working on a circular domain defined in 2D. I need to compute the angular derivative of the temperature, basically I want to compute:.

For this, I have used the following transformation from Cartesian to Polar coordinates:

I have tried to:

Change the frame from spatial to Material
Change the shape function for discretization.
refine the curvature factor.

But I still do not get the accurate result. Can somebody explain me how can I fix this?

Thanks in advance!


1 Reply Last Post 2025/07/11 20:54 JST

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Posted: 1 day ago 2025/07/11 20:54 JST

PS: Instead of d(T,x) i have used ht.gradTx and similarly ht.gradTy.

PS: Instead of d(T,x) i have used ht.gradTx and similarly ht.gradTy.

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