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

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 subst...

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Veröffentlicht in:Journal of fluid mechanics 2022-03, Vol.935, Article A3
Hauptverfasser: Wong, Clint Y.H., Dimakopoulos, Aggelos S., Trinh, Philippe H., Chapman, S. Jonathan
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creator Wong, Clint Y.H.
Dimakopoulos, Aggelos S.
Trinh, Philippe H.
Chapman, S. Jonathan
description 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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source Cambridge University Press Journals Complete
subjects Analysis
Asymptotic properties
Computer applications
Evolution
Free surfaces
Herbivores
JFM Papers
Shoaling
Substrates
Surface waves
Vegetation
Vegetation effects
Water waves
Wave analysis
title Multiple-scales analysis of wave evolution in the presence of rigid vegetation
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