upwind differencing 2 dimensional FVM
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On a 8 x 8 cell grid, work out the values of ϕ that are obtained by discretizing the equation u*dϕ/dx+v*dϕ/dy= 0, where u = 0.5 and v = 0.5 using upwind differencing. The values of ϕ at x = 0, are unity and at y = 0, are 0. Show how the sharp front gets smeared by upwinding.
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2022-2-27
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