One-dimensional dam-break flow modeling for variable width channels using an implicit semi-Lagrangian method.

摘要

This research will show that in some of the issues of dam-break, which may examine the 2D problem, a 1D formulation provides an excellent solution. In this paper, the formulation of the St.Venant equations developed for rectangular channels of varying widths, are applied to the experimental dambreak studies conducted in converging-diverging flumes. In order to solve the equations which are non-conservation formulations, a simple implicit semi-Lagrangian method is used. The comparison between numerical formulation results and experimental results shows this fact that in spite of a non-conservation formulation; there is a good agreement between experimental and calculated results.