<abstract xmlns="http://www.w3.org/1999/xhtml"><p> A finite volume model for two-layer shallow water flow in microtidal salt-wedge estuaries is presented in this work. The governing equations are a coupled system of shallow water equations with source terms accounting for irregular channel geometry and shear stress at the bed and interface between the layers. To solve this system we applied the Q-scheme of Roe with suitable treatment of source terms, coupling terms, and wet-dry fronts. The proposed numerical model is explicit in time, shock-capturing and it satisfies the extended conservation property for water at rest. The model was validated by comparing the steady-state solutions against a known arrested salt-wedge model and by comparing both steady-state and time-dependant solutions against field observations in Rječina Estuary in Croatia. When the interfacial friction factor λ<sub>i</sub> was chosen correctly, the agreement between numerical results and field observations was satisfactory. </p></abstract>

A finite volume model for two-layer shallow water flow in microtidal salt-wedge estuaries is presented in this work. The governing equations are a coupled system of shallow water equations with source terms accounting for irregular channel geometry and shear stress at the bed and interface between the layers. To solve this system we applied the Q-scheme of Roe with suitable treatment of source terms, coupling terms, and wet-dry fronts. The proposed numerical model is explicit in time, shock-capturing and it satisfies the extended conservation property for water at rest. The model was validated by comparing the steady-state solutions against a known arrested salt-wedge model and by comparing both steady-state and time-dependant solutions against field observations in Rječina Estuary in Croatia. When the interfacial friction factor λi was chosen correctly, the agreement between numerical results and field observations was satisfactory.

Numerical modelling of two-layer shallow water flow in microtidal salt-wedge estuaries: Finite volume solver and field validation

Department of Hydrology and Hydraulic Engineering, Faculty of Civil Engineering, University of Rijeka, Radmile Matejčić 3, 51000 Rijeka,

Department of Computer Modeling, Faculty of Civil Engineering, University of Rijeka, Radmile Matejčić 3, 51000 Rijeka,

Journal of Hydrology and Hydromechanics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A finite volume model for two-layer shallow water flow in microtidal salt-wedge estuaries is presented in this work. The governing equations are a coupled...

Numerical modelling of two-layer shallow water flow in microtidal salt-wedge estuaries: Finite volume solver and field validation

Published Online: Dec 08, 2016

Page range: 49 - 59

Received: Feb 11, 2016

Accepted: Jun 07, 2016

DOI: https://doi.org/10.1515/johh-2016-0039

Keywords
Finite volume method, Q-schemes, Salt-wedge estuaries, Two-layer flows, Shallow water equations, Rječina Estuary

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Numerical modelling of two-layer shallow water flow in microtidal salt-wedge estuaries: Finite volume solver and field validation

Published Online: Dec 08, 2016

Page range: 49 - 59

Received: Feb 11, 2016

Accepted: Jun 07, 2016

DOI: https://doi.org/10.1515/johh-2016-0039

KeywordsFinite volume method, Q-schemes, Salt-wedge estuaries, Two-layer flows, Shallow water equations, Rječina Estuary

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Finite volume method, Q-schemes, Salt-wedge estuaries, Two-layer flows, Shallow water equations, Rječina Estuary