A Generalized Approach

As it has been observed, the Finite Volume method uses an integral form of the equation to be solved.

The computational domain is divided into elementary volumes and the integration is performed within these elementary volumes. The method enables one to handle complex geometry without having the equation written in curvilinear coordinates. The method also preserves the conservative property. The elementary control volumes are described by the coordinates of the vertices of the quadrilaterals (for 2-D) or hexahedrals (for 3-D).