Optimal Control of Open-Channel Flow Using Adjoint Sensitivity Analysis
Publication: Journal of Hydraulic Engineering
Volume 132, Issue 11
Abstract
An optimal flow control methodology based on adjoint sensitivity analysis for controlling nonlinear open channel flows with complex geometries is presented. The adjoint equations, derived from the nonlinear Saint-Venant equations, are generally capable of evaluating the time-dependent sensitivities with respect to a variety of control variables under complex flow conditions and cross-section shapes. The internal boundary conditions of the adjoint equations at a confluence (junction) derived by the variational approach make the flow control model applicable to solve optimal flow control problems in a channel network over a watershed. As a result, an optimal flow control software package has been developed, in which two basic modules, i.e., a hydrodynamic module and a bound constrained optimization module using the limited-memory quasi-Newton algorithm, are integrated. The effectiveness and applicability of this integrated optimal control tool are demonstrated thoroughly by implementing flood diversion controls in rivers, from one reach with a single or multiple floodgates (with or without constraints), to a channel network with multiple floodgates. This new optimal flow control model can be generally applied to make optimal decisions in real-time flood control and water resource management in a watershed.
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Acknowledgments
This work was a result of research sponsored by the USDA Agriculture Research Service under Specific Research Agreement No. 58-6408-2-0062 (monitored by the USDA-ARS National Sedimentation Laboratory) and the University of Mississippi. Special appreciation is expressed to Dr. Mustafa Altinakar and Dr. Dalmo Vieira for their comments and assistance in running the CCHE1D model. The writers are thankful to the anonymous reviewers for their critical comments.
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Published In
Journal of Hydraulic Engineering
Volume 132 • Issue 11 • November 2006
Pages: 1215 - 1228
Copyright
© 2006 ASCE.
History
Received: Dec 13, 2004
Accepted: Feb 7, 2006
Published online: Nov 1, 2006
Published in print: Nov 2006
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