DEVELOPMENT AND APPLICATION OF NUMERICAL METHOD IN OPEN CHANNEL FLOW IN BOUNDARY FITTED COORDINATE SYSTEM WITH DENSITY FUNCTION METHOD

Abstract

 A three-dimensional numerical model is recently applied to simulate flows in a complicated flow domain more accurately, and basic equations in the Cartesian coordinate with some gas-liquid interface capturing method or in the generalized curvilinear movable coordinate system along water surface and river bed are commonly used. In this study, a three-dimensional numerical method in open channel flow in boundary fitted coordinate system with density function method is firstly developed, since boundary fitted coordinate system is easier to treat boundary conditions such as a river bed and bank, and a density function method solves water surface variations in unsteady inundated flood flows. The developed model is applied to flows in curved channel and overtopping flows, and it is shown that this model can reproduce complicated flow fields reasonably by comparing with the experimental and numerical results.