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Neumann Condition on Curved Boundary using Finite Difference |
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February 28, 2011, 01:08 |
Neumann Condition on Curved Boundary using Finite Difference
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Join Date: Mar 2009
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Hi,
I am trying the solve the Poisson equation in a domain with curved boundaries using the Finite Difference Method (second order accurate). I need to apply the Neumann condition on the curved boundary. I have used bilinear interpolation to do this but this causes the resultant scheme to be only first order accurate. Could someone please tell me how one may apply the Neumann condition on a curved boundary with second order accuracy? Any links to material would be greatly appreciated! Thanks |
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