NUMERICAL STUDIES OF STEADY VISCOUS INCOMPRESSIBLE FLOW IN A CHANNEL WITH A STEP

For many years one of the major criticisms of mathematics was that it provided no methods for solving nonlinear problems. With the development of the high speed computer and related numerical methods, this criticism is now being answered. In this paper we present a numerical method for solving a fundamental nonlinear problem in fluid dynamics. That the numbers presented actually do represent a numerical solution can be verified easily by direct substitution into the difference equations. Why the method converges is a difficult matter and is at present under study. © 1969 Wolters-Noordhoff Publishing.