# Tangential derivative Cell-Based Finite Volume

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 July 15, 2010, 19:56 Tangential derivative Cell-Based Finite Volume #1 New Member   Join Date: Apr 2010 Posts: 14 Rep Power: 8 Hi everyone, I am searching a discretization method for the tangential derivative terms of the viscosity. For example if we have two cells with exact same y coordinate, how do we calculate du/dy? Here dy is the direction tangential to the face. As a solution, someone told me to use the derivative between the vertices of the face. Well, I didn't like this solution. The equation in fact says div(div(V)) where V is the vector . The outer divergence is solved with the Gauss(divergence theorem). But unless there is another method, the inner one should be solved. That's why i am looking for the discretization of du/dy, using cell based method. (only the cell based properties, face normal and tangent vectors, and the distance between cells). Or should I use the solution that I didn't like? Thanks, P.S: div(div(V)) problem exists also for the div(grad(V)). But I assume the solution of one, will also be the solution of the other. Sorry for English,

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