Multiple-scales analysis of wave evolution in the presence of rigid vegetation

Clint Wong; Aggelos Dimakopoulos; Philippe Trinh; Jonathan Chapman

doi:10.1017/jfm.2021.985

Multiple-scales analysis of wave evolution in the presence of rigid vegetation

Clint Wong, Aggelos Dimakopoulos, Philippe Trinh, Jonathan Chapman

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Abstract

The study of free-surface flows over vegetative structures presents a challenging setting for theoretical, computational and experimental analysis. In this work, we develop a multiple-scales asymptotic framework for the evolution of free-surface waves over rigid vegetation and a slowly varying substrate. The analysis quantifies the balance between the competing effects of vegetation and shoaling, and provides a prediction of the amplitude as the wave approaches a coastline. Our analysis unifies and extends existing theories that study these effects individually. The asymptotic predictions are shown to provide good agreement with full numerical simulations (varying depth) and published experimental results (constant depth).

Original language	English
Article number	A3
Journal	Journal of Fluid Mechanics
Volume	935
Issue number	A3
Early online date	25 Jan 2022
DOIs	https://doi.org/10.1017/jfm.2021.985
Publication status	Published - 25 Mar 2022

Bibliographical note

Funding Information:
This publication is based on work partially supported by the EPSRC Centre for Doctoral Training in Industrially Focused Mathematical Modelling (EP/L015803/1) in collaboration with HR Wallingford and US Army Engineer Research and Development Center (ERDC). We would like to thank C. Kees and T. de Lataillade from US Army ERDC for their important contributions. We are also grateful to I. Hewitt (Oxford) and P. Milewski (Bath) for their helpful suggestions.

Keywords

coastal engineering
surface gravity waves
wave-structure interactions

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1017/jfm.2021.985

rigidveg_final.PDF
Wong, C., Dimakopoulos, A., Trinh, P., & Chapman, S. (2022). Multiple-scales analysis of wave evolution in the presence of rigid vegetation. Journal of Fluid Mechanics, 935, A3. doi:10.1017/jfm.2021.985 © The Author(s), 2022. Published by Cambridge University Press
Accepted author manuscript, 634 KB

Cite this

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abstract = "The study of free-surface flows over vegetative structures presents a challenging setting for theoretical, computational and experimental analysis. In this work, we develop a multiple-scales asymptotic framework for the evolution of free-surface waves over rigid vegetation and a slowly varying substrate. The analysis quantifies the balance between the competing effects of vegetation and shoaling, and provides a prediction of the amplitude as the wave approaches a coastline. Our analysis unifies and extends existing theories that study these effects individually. The asymptotic predictions are shown to provide good agreement with full numerical simulations (varying depth) and published experimental results (constant depth).",

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AB - The study of free-surface flows over vegetative structures presents a challenging setting for theoretical, computational and experimental analysis. In this work, we develop a multiple-scales asymptotic framework for the evolution of free-surface waves over rigid vegetation and a slowly varying substrate. The analysis quantifies the balance between the competing effects of vegetation and shoaling, and provides a prediction of the amplitude as the wave approaches a coastline. Our analysis unifies and extends existing theories that study these effects individually. The asymptotic predictions are shown to provide good agreement with full numerical simulations (varying depth) and published experimental results (constant depth).

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KW - wave-structure interactions

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Multiple-scales analysis of wave evolution in the presence of rigid vegetation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Exponential asymptotics for multi-dimensional systems in fluid mechanics

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Multiple-scales analysis of wave evolution in the presence of rigid vegetation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

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Exponential asymptotics for multi-dimensional systems in fluid mechanics

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