Long waves through emergent coastal vegetation

Chiang C. Mei, I-Chi Chan, Philip L.-F. Liu, Zhenhua Huang, Wenbin Zhang

    Research output: Contribution to journalArticle

    36 Citations (Scopus)

    Abstract

    We study the effects of emergent coastal forests on the propagation of long surface waves of small amplitude. The forest is idealized by an array of vertical cylinders. Simple models are employed to represent bed friction and to simulate turbulence generated by flow through the tree trunks. A multi-scale (homogenization) analysis similar to that for seepage flows is carried out to deduce the effective equations on the macro-scale. The effective coefficients are calculated by numerically solving the micro-scale problem in a unit cell surrounding one or several cylinders. Analytical and numerical solutions for wave attenuation on the macro-scale for different bathymetries and coastal forest configurations are presented. For a transient incident wave, analytical results are discussed for the damping of a leading tsunami. For comparison series of laboratory data for periodic and transient incident waves are also presented. Good agreement is found even though some of the measured waves are short or nonlinear.
    Original languageEnglish
    Pages (from-to)461-491
    Number of pages31
    JournalJournal of Fluid Mechanics
    Volume687
    DOIs
    Publication statusPublished - 25 Nov 2011

    Fingerprint

    vegetation
    planetary waves
    Macros
    seepage
    Bathymetry
    wave attenuation
    Tsunamis
    bathymeters
    Seepage
    homogenizing
    Surface waves
    surface waves
    beds
    Turbulence
    friction
    Damping
    damping
    turbulence
    Friction
    propagation

    Cite this

    Mei, C. C., Chan, I-C., Liu, P. L-F., Huang, Z., & Zhang, W. (2011). Long waves through emergent coastal vegetation. Journal of Fluid Mechanics, 687, 461-491. https://doi.org/10.1017/jfm.2011.373
    Mei, Chiang C. ; Chan, I-Chi ; Liu, Philip L.-F. ; Huang, Zhenhua ; Zhang, Wenbin. / Long waves through emergent coastal vegetation. In: Journal of Fluid Mechanics. 2011 ; Vol. 687. pp. 461-491.
    @article{bb7115030b58482a8ac8c0a8e17b8bbc,
    title = "Long waves through emergent coastal vegetation",
    abstract = "We study the effects of emergent coastal forests on the propagation of long surface waves of small amplitude. The forest is idealized by an array of vertical cylinders. Simple models are employed to represent bed friction and to simulate turbulence generated by flow through the tree trunks. A multi-scale (homogenization) analysis similar to that for seepage flows is carried out to deduce the effective equations on the macro-scale. The effective coefficients are calculated by numerically solving the micro-scale problem in a unit cell surrounding one or several cylinders. Analytical and numerical solutions for wave attenuation on the macro-scale for different bathymetries and coastal forest configurations are presented. For a transient incident wave, analytical results are discussed for the damping of a leading tsunami. For comparison series of laboratory data for periodic and transient incident waves are also presented. Good agreement is found even though some of the measured waves are short or nonlinear.",
    author = "Mei, {Chiang C.} and I-Chi Chan and Liu, {Philip L.-F.} and Zhenhua Huang and Wenbin Zhang",
    year = "2011",
    month = "11",
    day = "25",
    doi = "10.1017/jfm.2011.373",
    language = "English",
    volume = "687",
    pages = "461--491",
    journal = "Journal of Fluid Mechanics",
    issn = "0022-1120",
    publisher = "Cambridge University Press",

    }

    Mei, CC, Chan, I-C, Liu, PL-F, Huang, Z & Zhang, W 2011, 'Long waves through emergent coastal vegetation', Journal of Fluid Mechanics, vol. 687, pp. 461-491. https://doi.org/10.1017/jfm.2011.373

    Long waves through emergent coastal vegetation. / Mei, Chiang C.; Chan, I-Chi; Liu, Philip L.-F.; Huang, Zhenhua; Zhang, Wenbin.

    In: Journal of Fluid Mechanics, Vol. 687, 25.11.2011, p. 461-491.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Long waves through emergent coastal vegetation

    AU - Mei, Chiang C.

    AU - Chan, I-Chi

    AU - Liu, Philip L.-F.

    AU - Huang, Zhenhua

    AU - Zhang, Wenbin

    PY - 2011/11/25

    Y1 - 2011/11/25

    N2 - We study the effects of emergent coastal forests on the propagation of long surface waves of small amplitude. The forest is idealized by an array of vertical cylinders. Simple models are employed to represent bed friction and to simulate turbulence generated by flow through the tree trunks. A multi-scale (homogenization) analysis similar to that for seepage flows is carried out to deduce the effective equations on the macro-scale. The effective coefficients are calculated by numerically solving the micro-scale problem in a unit cell surrounding one or several cylinders. Analytical and numerical solutions for wave attenuation on the macro-scale for different bathymetries and coastal forest configurations are presented. For a transient incident wave, analytical results are discussed for the damping of a leading tsunami. For comparison series of laboratory data for periodic and transient incident waves are also presented. Good agreement is found even though some of the measured waves are short or nonlinear.

    AB - We study the effects of emergent coastal forests on the propagation of long surface waves of small amplitude. The forest is idealized by an array of vertical cylinders. Simple models are employed to represent bed friction and to simulate turbulence generated by flow through the tree trunks. A multi-scale (homogenization) analysis similar to that for seepage flows is carried out to deduce the effective equations on the macro-scale. The effective coefficients are calculated by numerically solving the micro-scale problem in a unit cell surrounding one or several cylinders. Analytical and numerical solutions for wave attenuation on the macro-scale for different bathymetries and coastal forest configurations are presented. For a transient incident wave, analytical results are discussed for the damping of a leading tsunami. For comparison series of laboratory data for periodic and transient incident waves are also presented. Good agreement is found even though some of the measured waves are short or nonlinear.

    UR - http://www.scopus.com/inward/record.url?scp=84862935173&partnerID=8YFLogxK

    U2 - 10.1017/jfm.2011.373

    DO - 10.1017/jfm.2011.373

    M3 - Article

    VL - 687

    SP - 461

    EP - 491

    JO - Journal of Fluid Mechanics

    JF - Journal of Fluid Mechanics

    SN - 0022-1120

    ER -

    Mei CC, Chan I-C, Liu PL-F, Huang Z, Zhang W. Long waves through emergent coastal vegetation. Journal of Fluid Mechanics. 2011 Nov 25;687:461-491. https://doi.org/10.1017/jfm.2011.373