Module 2: Introduction to Finite Volume Method
  Lecture 17:
 

The equivalent expression for and other similar terms in Eqn. (16.3), finally yields


(17.3)

where the geometrical parameters are

and

In Eqn.(17.3) are evaluated as the average of the four surrounding nodal values. Thus

Substitution into eqn. (17.3) generates the following nine-points discretisation of Eqn. (16.1):

(17.4)