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December 3, 2007, 14:12 |
Laplace in spherical coordinates
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#1 |
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I need to solve a diffusion equation in Spherical coordinates. Can somebody help me with discretisation in each coordinates.
Harini |
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December 4, 2007, 10:30 |
Re: Laplace in spherical coordinates
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#2 |
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Why do you need to solve it in spherical coordinates?
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December 6, 2007, 17:35 |
Re: Laplace in spherical coordinates
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#3 |
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Express the (1/r^2) (r^2 f'(r))' term as follows:
(prime stands for a derivative with respect to r) : (1/r^2) (r^2 f'(r))' =3\frac{d}{d r^3}(r^2 f'(r)) Note that this means you are taking a first derivative wrt r^3 and not a third derivative. This is what you need to discretize. Also you can stagger the origin, i.e., take your spatial grid points at (N-.5) dr where N=0,1,2...etc |
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