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Solution of Poisson's equation

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Poisson equation occurs in many forms in CFD. Efficient and fast solution to Poisson equation is important aspect of CFD.

In CFD the Poisson equation occurs mainly in the form:

{\partial  \over {\partial x_j }}\left( {\Gamma {{\partial \phi } \over {\partial x_j }}} \right) = q_\phi

The solution

The left hand side can be discretised in the manner explained in section related to diffusive term . The diffusive term can be broken into two explicit and implicit parts.

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