ABSTRACT
When dealing with applied problems, sometimes theory and practice are often worlds apart. In this final chapter we will confront an initial-boundary problem for the fundamental continuous equations of all of fluid dynamics, the Navier-Stokes equations. The nonlinear behavior is of such complexity that classical existence and uniqueness theory is not available. And yet, the equations are of such fundamental importance that related numerical methods are being developed constantly and then evaluated by comparing computer results with laboratory experimental results. The niceties developed in Chapters 1–8 will be of value in our study, but will not “solve” our problem without the employment of some additional problematic devices. The discussion which follows will provide a view of an area of numerical analysis which is quasi-mathematical and quasi-experimental.
