Numerical Modeling of Irregular Hydraulic Jumps
James Thompson
Abstract
James Thompson
Abstract
In its simplest form a hydraulic jump characterized by an abrupt increase in the water surface elevation from a depth less than the critical depth, D c , to one greater than D c with an associated loss of energy. Although the hydraulic jump has been studied extensively using physical models, numerical modeling of hydraulic jumps has met with limited success. The following presents the results of two-dimensional depth-averaged simulations of flow through a hydraulic jump for regular and irregular geometric configurations. The simulations were performed using the FESWMS-2DH modeling system (Froehlich, 1989). It is found that although the depth-averaged model cannot resolve finer details of the jump, the upstream supercritical and upstream subcritical surfaces are well represented and features of the water surface through the jump can be resolved for both regular and irregular geometries.
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In its simplest form a hydraulic jump characterized by an abrupt increase in the water surface elevation from a depth less than the critical depth, D c , to one greater than D c with an associated loss of energy. Although the hydraulic jump has been studied extensively using physical models, numerical modeling of hydraulic jumps has met with limited success. The following presents the results of two-dimensional depth-averaged simulations of flow through a hydraulic jump for regular and irregular geometric configurations. The simulations were performed using the FESWMS-2DH modeling system (Froehlich, 1989). It is found that although the depth-averaged model cannot resolve finer details of the jump, the upstream supercritical and upstream subcritical surfaces are well represented and features of the water surface through the jump can be resolved for both regular and irregular geometries.
Key concepts: Hydraulic jump, Jump, Supercritical flow, Mechanics, Geology, Flow (mathematics), Supercritical fluid, Hydraulics