Industrial Applications (real-case problem)
Project initiated from a collaborative work effort (University-Industry) for cautioning mathematical models in the hydraulics field (hydro-electricity production).
Main goal of the project is to establish a benchmark for validating numerical scheme in open channel flow simulation. The river reach selected for the field test is a 2 km section and is located in the province of Quebec (Canada). This river reach was chosen for the complexity of its river flow and for the quality of the field data available. The reach exhibits torrential flow, transition to fluvial condition through a hydraulic jump, complex bed elevation including an island and flood plains.
Simulation of a rapidly varied shallow water flow in complex river geometry
We present result of a simulation for a rapidly varied shallow water flow in complex river geometry. We used a finite element method of Galerkin type to solve numerically the Saint-Venant equations
Figure above show the topography map of the 2km river section. This map has been used to produce the network displayed in figure below and to adjust the bathymetry and in particular on the river banks.
Figure The river basin network is represented by an unstructured grid system using six nodes triangular elements which are located to appropriately represent he flow regime. This element has satisfied all the tests of stability and precision for transient and steady state real life flows.
Figure show a river Cross-section. Interpolation (dotted lines) of the bathymetry (full line) sections using kriging technique gives satisfactory result except at the sides when the profile is too stiff.
“A Test Field Calibration to Validate Shallow-Water Codes: the Case of the Ste- Marguerite River with AquaDyn”, J. Belanger, M. Carreau and A. Vincent CERCA Technical Report no. R2000-6, September 2000
“Simulation 2D d’une section de la riviere Ste-Marguerite” J. Belanger et A.Vincent Contract work under SoftKit Technologies Inc. and CERCA (1995)