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A local multi-layer approach to modelling interactions between shallow water flows and obstructions

Lookup NU author(s): Dr James Mckenna, Dr Vassilis Glenis, Professor Chris Kilsby

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


Abstract

© 2024 The Author(s)The capability to accurately predict flood flows via numerical simulations is a key component of contemporary flood risk management practice. However, modern flood models lack the capacity to accurately model flow interactions with linear features, or hydraulic structures like bridges and gates, which act as partial barriers to flow. Presented within this paper is a new Riemann solver which represents a novel approach to modelling fluid–structure interactions within two-dimensional hydrodynamic models. The solution procedure models obstacles as existing at the interface between neighbouring cells and uses a combination of internal boundary conditions, different forms of the conservation laws and vertical discretisation of the neighbouring cells to resolve numerical fluxes across a partially obstructed interface. The predictive capacity of the solver has been validated through comparisons with experimental data collected from experiments conducted in a state-of-the-art hydraulic flume. Since the solution procedure is local, only applying to the cells within the immediate vicinity of a structure, the method is designed to be compatible with existing two-dimensional hydrodynamic models which use a finite volume scheme to solve the shallow water equations.


Publication metadata

Author(s): Mckenna J, Glenis V, Kilsby C

Publication type: Article

Publication status: Published

Journal: Computer Methods in Applied Mechanics and Engineering

Year: 2024

Volume: 427

Print publication date: 01/07/2024

Online publication date: 07/05/2024

Acceptance date: 16/04/2024

Date deposited: 13/05/2024

ISSN (print): 0045-7825

Publisher: Elsevier B.V.

URL: https://doi.org/10.1016/j.cma.2024.117003

DOI: 10.1016/j.cma.2024.117003

Data Access Statement: Data will be made available on request.


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Funding

Funder referenceFunder name
Engineering and Physical Sciences Research Council
EP/T517914/1

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