Difference Method for Computation of Navier-Stokes Equations for Two-Dimensional, Laminar Flows in Incompressible Media.

A survey of finite difference methods for the numerical solution of the Navier-Stokes equations is presented. Several versions of the governing equations are assessed with regard to their possible advantages and disadvantages for finite difference methods. Problematical aspects and difficulties arising from the development and application of finite difference methods are discussed in more detail. Characteristic properties of explicit and implicit methods and consequences thereof for the numerical calculation of fluid flows are examined.