Long waves through emergent coastal vegetation

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

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    71 Citations (Scopus)


    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
    Publication statusPublished - 25 Nov 2011


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