NUMERICAL SIMULATION OF FLOW IN VERTICAL SLOT FISHWAYS USING SOLUTION ADAPTIVE QUADTREE GRIDS

摘要

This paper deals with applications of a second order accurate Godunov-type numerical model of the two-dimensional shallow water equations discretized using finite volumes to the flow in vertical slot fishways. Roe's flux function is used for the convection terms, and a non-linear limiter is applied to prevent non-physical oscillations. The mathematical formulation of shallow water equation, used in this paper, is suitable for cases where the bathymetry is non-uniform. The model is based on hierarchical quadtree grids automatically generated to fit the boundary configuration and moreover the quadtree grids are also generated to adapt to inherent flow parameter, such as vorticity. The flows in two types of vertical slot fishway are simulated and compared to the results of hydraulic model experiments.