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Derivative of Normal on a Surface

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Hello. Any help would be greatly appreciated. I am trying to calculate the mean curvature on a boundary. To do this, I am trying to calculate the dot product of the surface gradient operator and the normal vector. Thus, I need to take derivates like d(nr,r). However, whenever I do this, I only get zeros. Does anyone know how to implement these derivatives?

Another question would be, how do you take the derivative of something with respect to arc length, such as dn/ds?

Thanks in advance!
John

1 Reply Last Post 31 mai 2015, 03:56 UTC−4
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Hello John Austin

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Posted: 9 years ago 31 mai 2015, 03:56 UTC−4
I got an answer from COMSOL support. There is no direct way to implement derivative with respect to r or arc length s. You need to transform the derivative w.r.t x,y,z coordinates. E.g. dn/ds=tx*dn/dx+ty*dn/dy.
hope this help you
I got an answer from COMSOL support. There is no direct way to implement derivative with respect to r or arc length s. You need to transform the derivative w.r.t x,y,z coordinates. E.g. dn/ds=tx*dn/dx+ty*dn/dy. hope this help you

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