# gradient at boundary(FVM) ?

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 February 10, 2003, 01:26 gradient at boundary(FVM) ? #1 Yim Guest   Posts: n/a Hello all. I study FVM with unstructured grid(tetrahedron). In some references, normal gradient at cell face is (d@/dn)=(@N-@P)*G +{(grad@)f .n-G*(grad@)f .d(PN)} [.:inner product,n:face normal vector,d(PN):vector between P&N, G:geometrical factor] At interior cell face, (grad @)f,gradient@ at cell face,is interpolated from the two adjacent cell gradients or vertex gradients(the average of the surrounding cell gradients). however, I don't know how can define gradient at boundary face. Is it also the average of the surrounding cell gradients(half of above case)? I think it's not correct.. Any referenses would be helpful !!!! thank you !!

 February 17, 2003, 04:06 Re: gradient at boundary(FVM) ? #2 Praveen Guest   Posts: n/a One way is to use the least squares (also called Energy) method which basically fits a polynomial to the local function data. Differentiating the polynomial gives you the gradient. See the VKI lecture notes of Barth. You can get these from his website.

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