Articles | Volume 23, issue 3
https://doi.org/10.5194/hess-23-1281-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-23-1281-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| Highlight paper
| 
07 Mar 2019
Research article | Highlight paper |
| 07 Mar 2019
| 07 Mar 2019
Conservative finite-volume forms of the Saint-Venant equations for hydrology and urban drainage
National Center for Infrastructure Modeling and Management, University of Texas at Austin, Austin, Texas, USA
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Cited
23 citations as recorded by crossref.
- Automated Detection of Instability-Inducing Channel Geometry Transitions in Saint-Venant Simulation of Large-Scale River Networks C. Yu et al.
- Numerical Simulation of Saint-Venant Equations with Thermal Energy Dependency: Applications on Global Warming R. Garcia & G. Silveira
- Integrative modeling of the spread of serious infectious diseases and corresponding wastewater dynamics N. Schmid et al.
- Open Water Flow in a Wet/Dry Multiply-Connected Channel Network: A Robust Numerical Modeling Algorithm S. Kivva et al.
- Random-walk-path solution of unsteady flow equations for general channel networks H. Tang et al.
- An Artificial Compressibility Method for 1D Simulation of Open-Channel and Pressurized-Pipe Flow B. Hodges
- Saint–Venant equations simulation by finite volume method and ULTIMATE strategy S. Hasheminejad & W. Wan
- Enhanced physics‐informed neural networks for efficient modelling of hydrodynamics in river networks X. Luo et al.
- Investigation of overland flow by incorporating different infiltration methods into flood routing equations S. Gülbaz et al.
- Finite difference lattice Boltzmann method for modeling dam break debris flows G. Kefayati et al.
- Nonlinear hydrological time series modeling to forecast river level dynamics in the Rio Negro Uruguay basin J. Duque et al.
- Evolution and Characterization of Pressurized Flow Conditions in Stormwater Collection Networks J. Vasconcelos et al.
- A new form of the Saint-Venant equations for variable topography C. Yu et al.
- Evaluating lateral flow in an experimental channel using the diffusive wave inverse problem R. Moussa & S. Majdalani
- An integrated modeling approach for mineral and metal transport in acidic rivers at high mountainous porphyry Cu systems G. Zegers et al.
- A physics-informed neural network method for modeling one-dimensional water flow without roughness coefficient input X. Yang et al.
- Modelling the future climate impacts on hydraulic infrastructure development in tropical (peri-)urban region: Case of Kigali, Rwanda P. Iradukunda et al.
- Flood risk assessment of cultural heritage sites near lakes via advanced hydrodynamic modeling and digital technologies M. Alexopoulos et al.
- Timescale interpolation and no-neighbour discretization for a 1D finite-volume Saint-Venant solver B. Hodges & F. Liu
- Dynamic texture analysis using Temporal Gray scale Pattern Image for water surface velocity measurement B. Sirenden et al.
- The development and application of improved solids modelling to enable resilient urban sewer networks M. Murali et al.
- Data assimilation-based correction of flood forecasts in a large-scale river network: A case study of the Pearl River Basin D. Miao et al.
- Development of Rainfall-Runoff Models for Sustainable Stormwater Management in Urbanized Catchments B. Szeląg et al.
23 citations as recorded by crossref.
- Automated Detection of Instability-Inducing Channel Geometry Transitions in Saint-Venant Simulation of Large-Scale River Networks C. Yu et al.
- Numerical Simulation of Saint-Venant Equations with Thermal Energy Dependency: Applications on Global Warming R. Garcia & G. Silveira
- Integrative modeling of the spread of serious infectious diseases and corresponding wastewater dynamics N. Schmid et al.
- Open Water Flow in a Wet/Dry Multiply-Connected Channel Network: A Robust Numerical Modeling Algorithm S. Kivva et al.
- Random-walk-path solution of unsteady flow equations for general channel networks H. Tang et al.
- An Artificial Compressibility Method for 1D Simulation of Open-Channel and Pressurized-Pipe Flow B. Hodges
- Saint–Venant equations simulation by finite volume method and ULTIMATE strategy S. Hasheminejad & W. Wan
- Enhanced physics‐informed neural networks for efficient modelling of hydrodynamics in river networks X. Luo et al.
- Investigation of overland flow by incorporating different infiltration methods into flood routing equations S. Gülbaz et al.
- Finite difference lattice Boltzmann method for modeling dam break debris flows G. Kefayati et al.
- Nonlinear hydrological time series modeling to forecast river level dynamics in the Rio Negro Uruguay basin J. Duque et al.
- Evolution and Characterization of Pressurized Flow Conditions in Stormwater Collection Networks J. Vasconcelos et al.
- A new form of the Saint-Venant equations for variable topography C. Yu et al.
- Evaluating lateral flow in an experimental channel using the diffusive wave inverse problem R. Moussa & S. Majdalani
- An integrated modeling approach for mineral and metal transport in acidic rivers at high mountainous porphyry Cu systems G. Zegers et al.
- A physics-informed neural network method for modeling one-dimensional water flow without roughness coefficient input X. Yang et al.
- Modelling the future climate impacts on hydraulic infrastructure development in tropical (peri-)urban region: Case of Kigali, Rwanda P. Iradukunda et al.
- Flood risk assessment of cultural heritage sites near lakes via advanced hydrodynamic modeling and digital technologies M. Alexopoulos et al.
- Timescale interpolation and no-neighbour discretization for a 1D finite-volume Saint-Venant solver B. Hodges & F. Liu
- Dynamic texture analysis using Temporal Gray scale Pattern Image for water surface velocity measurement B. Sirenden et al.
- The development and application of improved solids modelling to enable resilient urban sewer networks M. Murali et al.
- Data assimilation-based correction of flood forecasts in a large-scale river network: A case study of the Pearl River Basin D. Miao et al.
- Development of Rainfall-Runoff Models for Sustainable Stormwater Management in Urbanized Catchments B. Szeląg et al.
Saved (final revised paper)
Latest update: 06 May 2026
Short summary
A new derivation of the equations for one-dimensional open-channel flow in rivers and storm drainage systems has been developed. The new approach solves some long-standing problems for obtaining well-behaved solutions with conservation forms of the equations. This research was motivated by the need for highly accurate models of large-scale river networks and the storm drainage systems in megacities. Such models are difficult to create with existing equation forms.
A new derivation of the equations for one-dimensional open-channel flow in rivers and storm...
