3D dual_surface and dual_volume

Li-Chun Chien

Hi, everyone

I am writing an 3-D unstructured grid solver using median-dual cell-vertex scheme. I got confused when I tried to compute the median-dual volume. Here is my question.

(1) If I used a mean unit normal vector and a total face area associated with each edge, then should the dual volume associated with each node be calculated with the mean surface on each adjacent edge or all partial surfaces on each adjacent edge?

(2)If all partial surfaces on each adjacent edge has to be accounted for, does that mean a integration of the fluxes on each partial surfaces?

Thanks in advance for any advice. Ricky