Show that if the unstructured mesh is locally orthogonal (i.e., the local hexahedral cells are rectilinear), then the flux densities projected onto the dual edges, as expressed in (11.74) and (11.78), are identical to the flux densities normal to the face as updated in (11.70a, b). 11.14 From (11.91) to (11.99), derive expressions for the elements of the matrices in (11.100) to (11.105), assuming the use of two-dimensional mesh elements that are arbitrary quadrilaterals, and assuming uniform discretization along the z-direction.
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