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Fast approach for unsteady flow routing in complex river networks based on performance graphs Public Deposited

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Abstract
  • We present a new model for unsteady flow routing through dendritic and looped river networks based on performance graphs. The model builds upon the application of Hydraulic Performance Graph (HPG) to unsteady flow routing introduced by Gonzalez-Castro (2000) and adopts the Volume Performance Graph (VPG) introduced by Hoy and Schmidt (2006). The HPG of a channel reach graphically summarizes the dynamic relation between the flow through and the stages at the ends of the reach under gradually varied flow (GVF) conditions, while the VPG summarizes the corresponding storage. Both, the HPG and VPG are unique to a channel reach with a given geometry and roughness, and can be computed decoupled from unsteady boundary conditions by solving the GVF equation for all feasible conditions in the reach. Hence, in the proposed approach, the performance graphs can be used for different boundary conditions without the need to recompute them. Previous models based on the performance graph concept were formulated for routing through single channels or channels in series. The new approach expands on the use of HPG/VPGs and adds the use of rating performance graphs for unsteady flow routing in dentritic and looped networks. We exemplify the applicability of the proposed model to subcritical unsteady flow routing through a looped network and contrast its simulation results with those from the well-known unsteady HEC-RAS model. Our results show that the present extension of application of the HPG/VPGs appears to inherit the robustness of the HPG routing approach in Gonzalez-Castro (2000). The unsteady flow model based on performance graphs presented here can be extended to include supercritical flows.
  • Keywords: Looped network, Hydraulic routing, Modeling, Simulation, Unsteady flow, Dendritic network, River hydraulics, Flooding, Flow routing
  • Keywords: Looped network, Hydraulic routing, Modeling, Simulation, Unsteady flow, Dendritic network, River hydraulics, Flooding, Flow routing
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  • Leon, A., Kanashiro, E., and González-Castro, J. (2013). ”Fast Approach for Unsteady Flow Routing in Complex River Networks Based on Performance Graphs.” Journal of Hydraulic Engineering, 139(3), 284–295.
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  • 139
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  • 3
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  • The authors gratefully acknowledge the financial support of NSF Idaho EPSCoR Program and the National Science Foundation under award number EPS-0814387. The first author also would like to thank the financial support of the School of Civil and Construction Engineering at Oregon State University.
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