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Discretization of advection term

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Hello, I'm trying to write a physically based fluid simulation using a discretization of the Navier-Stokes equation in 3D. However, I have problems getting the advection term (v \cdot \nabla)v discretized on my staggered grid. Especially with the mixed derivatives like (duv / dy) I don't know how to properly discretize them. Has anybody implemented that successfully and can tell me how to discretize this term on a staggerd grid? Thanks, Icebraker

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