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An efficient three-dimensional non-hydrostatic model for undular bores in open channels

Ai, Congfang, Ma, Yuxiang, Ding, Weiye, Xie, Zhihua and Dong, Guohai 2021. An efficient three-dimensional non-hydrostatic model for undular bores in open channels. Physics of Fluids 33 (12) , 127111. 10.1063/5.0073241
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Abstract

A three-dimensional (3D) non-hydrostatic model is presented to simulate open-channel free-surface flows involving undular bores. The 3D unsteady mass conservation and momentum equations are solved using an explicit projection method in a nonstandard staggered grid. The grid system is built from a two-dimensional horizontal structured grid by adding horizontal layers. The model is validated using four typical benchmark problems, including undular bore development, an undular bore generated by a sudden discharge, and two test cases involving undular hydraulic jumps. The proposed model results are compared with experimental data and results from other models. Overall, the agreement between the proposed model results and experimental data is generally good, demonstrating the capability of the model to resolve undular bores. In addition, the non-hydrostatic pressure field under the undular free surface is revealed, and the efficiency of the proposed model is presented. It is shown that the proposed model behaves better than a volume of fluid model in terms of efficiency, because the proposed model can use fewer computational grid cells to resolve undular bores in open channels.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: American Institute of Physics
ISSN: 1070-6631
Date of First Compliant Deposit: 13 December 2021
Date of Acceptance: 21 November 2021
Last Modified: 13 Dec 2021 12:00
URI: https://orca.cardiff.ac.uk/id/eprint/146028

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