Arakawa’s Method Is a Finite-Element Method
Abstract
The nine-point second-order difference method of Arakawa for the two-dimensional stream function-vorticity equations of incompressible fluid flow comes from bilinear finite elements in rectangles. Furthermore, any nine-point second-order method obeying the conservation laws is a linear combination of two finite-element schemes, bilinear elements in rectangles and linear elements in triangles. 1Similar works
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