Chapter 3: Finite Volume Discretization in 3D
Eldad Haber · Society for Industrial and Applied Mathematics eBooks · 2014
In this chapter we expand the 1D discussion into 2D and 3D. As we will see, most of the discussion is a straightforward extension of the 1D case. We start by discussing the discretization of differential operators followed by the inner products on an orthogonal tensor mesh. We then discuss the discretization of the operators and inner products on a logically orthogonal mesh. Such meshes give greater flexibility when working on problems with complex geometry.