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)




  • An Example of a C++ class Implementation Of Euler Angles

    Tips and Tricks

    C++ has many features which make this language very attractive for scientific programming, and one of them is the operator overload functionality. I present an example taken from our programming environment (math3D library) that use this to represent a rotation class (Euler angles).
  • IKEA Virtual Reality Extract


    I’m currently working on updating of an interior designer application, used by multinational furniture giant, to a 2nd generation version powered with state-of-the-art technology provided with Virtual Reality (VR) headset.
  • Development of a Transport Software Management Application


    Mandate for the development of dispatch system solutions specifically designed for trucking fleets to manage transportation activity including tracking orders, efficient dispatch and route optimization. Goal is to optimize inbound and/or outbound transportation operations.

clients and partners