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

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).
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1017/jfm.2021.985

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Anne's College
Role:
Author
ORCID:
0000-0001-8312-1999
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Mansfield College
Role:
Author
ORCID:
0000-0003-3347-6024


Publisher:
Cambridge University Press
Journal:
Journal of Fluid Mechanics More from this journal
Volume:
935
Article number:
A3
Publication date:
2022-01-25
Acceptance date:
2021-10-12
DOI:
EISSN:
1469-7645
ISSN:
0022-1120


Language:
English
Keywords:
Pubs id:
1235942
Local pid:
pubs:1235942
Deposit date:
2022-02-11

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