A reduced 3D hydrodynamic model of a shallow, long, and weakly curved stream

Abstract

A reduced three-dimensional mathematical model of a free-flow stream in nondeformable channels (a model of a long shallow flow), proposed earlier, has been studied analytically and numerically. The reduced model has been verified by direct numerical simulation of the flow by full hydrodynamic models in COMSOL finite-element software complex for laminar and turbulent flows of a viscous fluid. The obtained results show that the proposed reduced model of a shallow weakly curved stream flow adequately describes its hydrodynamics, so it can be used in systems of complex simulation of the ecology of water objects and the use of water resources.