Numerical solution of steady free-surface Navier-Stokes flow

Abstract

The usual time integration approach for solving steady viscous free-surface flow problems has several drawbacks. We propose an efficient iterative method, which relies on a so-called quasi free-surface condition. It is shown that the method displays asymptotically mesh-width independent convergence behavior. Numerical results for flow over an obstacle in a channel are presented. The results confirm mesh-width independence of the convergence behavior. Comparison of the numerical results with measurements shows good agreement