A Two-Dimensional Free-Surface Flow Model for Trapezoidal High-Velocity Channels.
Abstract
A two-dimensional free-surface numerical flow model for trapezoidal high-velocity channels is developed. The model addresses common hydraulic features of high-velocity channels including subcritical or supercritical flow, which may undergo transition from one regime to the other and can be further complicated by the presence of oblique standing waves. The model is designed specifically for simulation of flow in trapezoidal high-velocity channels in which the depth is an unknown variable in the governing equations; therefore, the plan view of the flow domain as delineated by the water surface/bank interface is not known a priori. Steady state solutions are obtained by time-stepping from specified initial conditions using an implicit Petrov-Galerkin moving finite element representation of the governing equations. As the computed flow field evolves from the specified initial flow conditions and initial boundary location to the steady state, the moving finite element model adjusts the location of side boundaries with the depth solution. The algorithm includes a novel method for solving the boundary displacement and the flow variables simultaneously. Testing of the computational model consists of comparing model results with analytical solutions and laboratory flume data. These tests demonstrate that the numerical model can be used as a tool for the evaluation of trapezoidal high-velocity channel designs.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1996
- Accession Number
- ADA311243
Entities
People
- Richard L. Stockstill