Reservoir Flow Prediction by Contravariant Shallow Water Equations
Publication: Journal of Hydraulic Engineering
Volume 123, Issue 5
Abstract
Jet-induced mixing is often used to prevent stagnation in shallow service reservoirs. This paper describes a nonorthogonal boundary-fitted model for simulating flows in reservoirs of arbitrary shape. The numerical model solves the curvilinear shallow water equations that are expressed in terms of the depth-averaged contravariant velocity components and free surface elevation. Results are presented for the case of jet-forced flow in a circular reservoir where the inlet and outlet stems are diametrically opposite. Excellent agreement is obtained with alternative analytical and numerical schemes, at inlet Reynolds numbers equal to 10 and 25. A further comparison is given between numerical simulations and experimental measurements of the steady-state velocities in a circular reservoir where the inlet and outlet stems are diametrically asymmetric. Although the present application concerns steady jet-forced circulation, the contravariant shallow water equations should be suitable for modeling wind-driven circulation or tidal flows.
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Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 123 • Issue 5 • May 1997
Pages: 432 - 439
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: May 1, 1997
Published in print: May 1997
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