The University of Southampton
University of Southampton Institutional Repository

Upscaling the shallow water equations for fast flood modelling

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.
0022-1686
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).

Record type: Article

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
Restricted to Repository staff only until 24 December 2021.
Request a copy

More information

Accepted/In Press date: 19 August 2020
e-pub ahead of print date: 24 December 2020

Identifiers

Local EPrints ID: 443830
URI: http://eprints.soton.ac.uk/id/eprint/443830
ISSN: 0022-1686
PURE UUID: 1480ed30-e126-41d1-b616-bfb0b8a231a3
ORCID for Gustavo De Almeida: ORCID iD orcid.org/0000-0002-3291-3985

Catalogue record

Date deposited: 14 Sep 2020 16:36
Last modified: 18 Feb 2021 17:23

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×