Two-Dimensional Vertical Reynolds-Averaged Navier-Stokes Equations Versus One-Dimensional Saint-Venant Model for Rapidly Varied Open Channel Water Flow Modelling

摘要

The paper concerns mathematical modelling of free surface open channel water flow. In order to simulate the flow two models are used - two-dimensional vertical Reynolds-Averaged Navier-Stokes equations and one-dimensional Saint-Venant equations. The former is solved with SIPMLE algorithm of finite difference method using Marker and Cell technique to trace a free surface movement. The latter is solved using the finite volume method. The dam-break (water column collapse) problem on horizontal bottom is investigated as a test case. The calculated results are compared with each other. The numerical simulations are examined against laboratory experiment presented by Koshizuka et al (1995). The possibility of using the described models to simulate rapidly varied flow is discussed.