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A new multilayer nonhydrostatic formulation for surface water waves

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journal contribution
posted on 02.07.2019, 15:13 by Gang Wang, Qiuhua Liang, Jinhai Zheng, Peng Wan
This work presents a new multilayer nonhydrostatic formulation for surface water waves. The new governing equations define velocities and pressure at an arbitrary location of a vertical layer and only contain spatial derivatives of maximum second order. Stoke-type Fourier and shoaling analyses are carried out to scrutinize the mathematical properties of the new formulation, subsequently optimizing the representative interface and the location to define variables in each layer to improve model accuracy. Following the analysis, the one-layer model exhibits accurate linear and nonlinear characteristics up to kd = I, demonstrating similar solution accuracy to the existing second-order Boussinesq-type models. The two-layer model with optimized coefficients can maintain its linear and nonlinear accuracy up to kd = 4I, which boasts of better solution accuracy a larger application range than most existing fourth-order Boussinesq model and two-layer Boussinesq models. The three-layer model presents accurate linear and nonlinear characteristics up to kd = 10Ï, effectively removing any shallow water limitation. The current multilayer nonhydrostatic water wave model does not predefine the vertical flow structures, and more accurate vertical velocity distributions can be obtained by considering the velocity profiles in coefficient optimization.

History

School

  • Architecture, Building and Civil Engineering

Published in

Journal of Coastal Research

Volume

35

Issue

3

Pages

693 - 710

Citation

WANG, G. ... et al, 2019. A new multilayer nonhydrostatic formulation for surface water waves. Journal of Coastal Research, 35 (3), pp.693-710.

Publisher

© Coastal Education and Research Foundation, Inc.

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

25/04/2019

Publication date

2019-04-29

Notes

This is the peer reviewed version of the following article: Wang, G.; Liang, Q.; Zheng, J., and Wan, P., 2019. A new multilayer nonhydrostatic formulation for surface water waves. Journal of Coastal Research, 35(3), 693-710. Coconut Creek (Florida), ISSN 0749-0208. https://doi.org/10.2112/JCOASTRES-D-18-00022.1, which has been published in final form at https://www.jcronline.org/doi/abs/10.2112/JCOASTRES-D-18-00022.1. The publisher's website is at: http://www.cerf-jcr.org/

ISSN

0749-0208

eISSN

1551-5036

Language

en

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