Upscaling the shallow water equations for fast flood modelling
Upscaling the shallow water equations for fast flood modelling
This paper presents a new sub-grid flood inundation model aimed at high computational performance. The model solves the two-dimensional shallow water equations (SWE) by a Godunov-type finite volume (FV) method that uses two nested meshes. Runtime computations are performed at a coarse computational mesh, while a fine mesh is used to incorporate fine resolution information into the solution at pre-processing level. New upscaling methods are separately derived for each of the terms in the SWE based on the integration of the governing equations over subdomains defined by the coarse resolution grid cells. The accuracy and performance of the model are tested through artificial and real-world test problems. Results showed that i) for the same computational (coarse mesh) resolution, the inclusion of sub-grid information delivers more accurate results than a single-mesh FV model and ii) for the same accuracy and at low resolution, the proposed methods improve computational performance.
2D shallow water equations, finite volume, flooding, nested meshes, solution upscaling, sub-grid
Shamkhalchian, Alireza
3f3c8717-572c-44af-be0a-d720731cdb55
De Almeida, Gustavo
f6edffc1-7bb3-443f-8829-e471b6514a7e
Shamkhalchian, Alireza
3f3c8717-572c-44af-be0a-d720731cdb55
De Almeida, Gustavo
f6edffc1-7bb3-443f-8829-e471b6514a7e
Shamkhalchian, Alireza and De Almeida, Gustavo
(2020)
Upscaling the shallow water equations for fast flood modelling.
Journal of Hydraulic Research.
(doi:10.1080/00221686.2020.1818316).
Abstract
This paper presents a new sub-grid flood inundation model aimed at high computational performance. The model solves the two-dimensional shallow water equations (SWE) by a Godunov-type finite volume (FV) method that uses two nested meshes. Runtime computations are performed at a coarse computational mesh, while a fine mesh is used to incorporate fine resolution information into the solution at pre-processing level. New upscaling methods are separately derived for each of the terms in the SWE based on the integration of the governing equations over subdomains defined by the coarse resolution grid cells. The accuracy and performance of the model are tested through artificial and real-world test problems. Results showed that i) for the same computational (coarse mesh) resolution, the inclusion of sub-grid information delivers more accurate results than a single-mesh FV model and ii) for the same accuracy and at low resolution, the proposed methods improve computational performance.
Text
2019_JHR-Shamkhalchian_de_Almeida
- Accepted Manuscript
More information
Accepted/In Press date: 19 August 2020
e-pub ahead of print date: 24 December 2020
Additional Information:
Publisher Copyright:
© 2020 International Association for Hydro-Environment Engineering and Research.
Keywords:
2D shallow water equations, finite volume, flooding, nested meshes, solution upscaling, sub-grid
Identifiers
Local EPrints ID: 443830
URI: http://eprints.soton.ac.uk/id/eprint/443830
ISSN: 0022-1686
PURE UUID: 1480ed30-e126-41d1-b616-bfb0b8a231a3
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Date deposited: 14 Sep 2020 16:36
Last modified: 17 Mar 2024 05:53
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