OpenFOAM guide/Mesh weights

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Mesh weights are used to interpolate from cell centres to face centres: \left . \boldsymbol \Phi \right \vert_{v \to f}, and visa versa, \left . \boldsymbol \Phi \right \vert_{f \to v}. This interpolation is performed using:

\boldsymbol \Phi_f = \lambda_f \boldsymbol \Phi_o + \left ( 1 - \lambda_f \right ) \boldsymbol \Phi_n

Where:

In OpenFOAM mesh weights are managed by the surfaceInterpolation class.