OpenFOAM guide/Mesh weights

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:

• f is the face index;
• o and n are the owner and neighbour indices; and
• $\boldsymbol \Phi$ is the quantity being interpolated.

In OpenFOAM mesh weights are managed by the surfaceInterpolation class.