NUMERICAL STUDIES OF PROTOTYPE CAVITY FLOW PROBLEMS

A new digital computer method is developed for the Navier-Stokes equations. Finite differences, smoothing and a special boundary technique are fundamental. The method converges in practice for all Reynolds numbers. Examples illustrate both primary and secondary vortices and show the development of selected double-spiral equivorticity curves as the Reynolds number becomes infinite. As a special case, the method applies easily to biharmonic problems. © 1969 The British Computer Society.