Introduction

This chapter describes the strategy of Flow Analysis by solving transport equations in curvilinear coordinates.

The prediction procedure in this text can be summarized as follows:

• Arbitrary two-dimensional (plane or axi-symmetric) geometries
• Incompressible flow of Newtonian fluids
• Steady or unsteady flow processes

The numerical method employs a fully conservative finite volume (FV) method for the solution of the flow equations. The main features of the numerical method are:

• Non-orthogonal boundary fitted grids
• Collocated (non-staggered) arrangement of dependent variables
• Use of Cartesian vector and tensor components
• Pressure-correction approach of SIMPLE (Patankar and Spalding, 1972) for the coupled system of equations
• Strongly implicit method of Stone (1968) for solving the linear equations system

The solution method is formally second-order accurate, since all approximations are performed in a central-difference manner. However, provision is made for switching from the central-difference scheme (CDS) to the first-order accurate upwind-differencing scheme (UDS) for the convection terms, or to combine the two in a specified ratio. For discretization with respect to time, a first order fully implicit scheme as well as a second order Crank-Nicolson scheme can be used.