Modeling wave attenuation by vegetation with accompanying currents in SWAN

Hong Wang Zhan Hu

Hong Wang, Zhan Hu. Modeling wave attenuation by vegetation with accompanying currents in SWAN[J]. Acta Oceanologica Sinica. doi: 10.1007/s13131-023-2199-1
Citation: Hong Wang, Zhan Hu. Modeling wave attenuation by vegetation with accompanying currents in SWAN[J]. Acta Oceanologica Sinica. doi: 10.1007/s13131-023-2199-1

doi: 10.1007/s13131-023-2199-1

Modeling wave attenuation by vegetation with accompanying currents in SWAN

Funds: The National Natural Science Foundation of China under contract No. 42176202; Innovation Group Project of Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai) under contract No. 311021004; Guangdong Provincial Department of Science and Technology under contract No. 2019ZT08G090; 111 Project under contract No. B21018.
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  • Figure  1.  Wetland ecosystem in combined current-wave flows (a) and wave flume set up (Hu et al., 2014) (b). ADP, RBR, WG, EMF, FT stand for Acoustic Doppler Profiler, pressure sensors (RBR solo3), Wave Gauge, electromagnetic flow meter, and force transducer for measuring parameters of currents and waves.

    Figure  5.  The study area (enclosed by the red rectangle) on Hailing Island, South of China (a), top view of the study area (b), and ADP (c) and RBR (d) for current and wave measurements, respectively. S1–S4 represent the four stations set up at the field site for measuring wave and current parameters.

    Figure  2.  Comparisons of $ {H}_{\mathrm{r}\mathrm{m}\mathrm{s}} $ evolution for SWAN-CWV model with the SWAN model, the analytical model proposed in this study on Eqs (26)–(27), and the analytical model from (Losada et al., 2016) with different current velocities. a. Pure waves, b. current velocity=0.05 m/s, c. current velocity=0.20 m/s; and d. current velocity=0.30 m/s. All the tested incident wave height $ {H}_{\mathrm{r}\mathrm{m}\mathrm{s}} $ is 0.1 m and the wave period Tp is 1.5 s. The drag coefficients were all calculated according to the empirical Re-$ {C}_{\mathrm{D}} $ relation on Eq. (16) to exclude the influence of $ {C}_{\mathrm{D}} $ to wave attenuation.

    Figure  3.  Comparisons of the wave height along mimic canopies (green patch) in the current-wave flows ($ {U}_{\mathrm{c}} $=0.20 m/s): SWAN-CWV, SWAN-$ {C}_{\mathrm{D}} $ and the measured data (Hu et al., 2014). All cases are in non-submerged canopies with medium mimic stem densities (139 stems/m2). The case name stands for the combination of incident wave height 0.04 m and wave period 1.2 s, namely wave0412.

    Figure  4.  Comparisons of wave height attenuation induced by a unit length of canopies ($ \Delta H $ in Eq. (28)) between numerical models (SWAN-CWV and SWAN-$ {C}_{\mathrm{D}} $) and experiment data (Hu et al., 2014).

    Figure  6.  Comparisons between measured significant wave height in the mature mangroves and results from SWAN-$ {C}_{\mathrm{D}} $ and SWAN-CWV models for field observations in Hailing Island (a and b), and variation of depth-averaged current velocity at Sta. S1 (c). The shaded area in a is enlarged in b to better show the influence of currents to wave vegetation. Three shaded parts in b represent relatively strong current in the observed period.

    Figure  7.  Statistical results of R2 for numerical models (SWAN-$ {C}_{\mathrm{D}} $=1.2, SWAN-$ {C}_{\mathrm{D}} $, SWAN-CWV) simulated results according to velocity ratio $ \alpha $ ($ \mathrm{\alpha }={U}_{\mathrm{c}}/{U}_{\mathrm{w}} $) in the field observations.

    Figure  8.  Variation of the significant wave height along with the canopy in different combinations of waves and currents. a. Weak current ($ {H}_{0} $=0.8 m, $ {T}_{\mathrm{p}} $=4.0 s, $ {U}_{\mathrm{c}} $=0.10 m/s) and b. strong current ($ {H}_{0} $=0.8 m, $ {T}_{\mathrm{p}} $=4.0 s, $ {U}_{\mathrm{c}} $=0.45 m/s). The numerical test in pure wave conditions with the same incident waves was carried out as a reference to assess the currents to wave attenuation (blue line). L is the length of the vegetated area. $ \Delta {H}_{\mathrm{p}\mathrm{w}} $ and $ \Delta {H}_{\mathrm{c}\mathrm{w}} $ stand for the wave height attenuation induced by a unit length of canopies for pure wave and combined current-wave flows in Eq. (28).

    Figure  9.  Variation of $ {r}_{\mathrm{w}} $ ($ {r}_{\mathrm{w}}=\Delta {H}_{\mathrm{c}\mathrm{w}}/\Delta {H}_{\mathrm{p}\mathrm{w}} $) with different hydrodynamic combinations under the storm surge. The white solid line represents contour 1 ($ {r}_{\mathrm{w}}=1 $), indicating that the wave attenuation caused by vegetation has neither increased nor decreased in the combined current-wave flows compared to the pure wave conditions. Area “I” indicates a decrease in the amount of vegetation-induced wave height reduction. Area “II” indicates an increase in wave attenuation by vegetation when the currents become stronger under the same wave conditions.

    Table  1.   Input parameters of vegetation characters

    RegionVegetation characters
    Length
    x/m
    Height
    $ {h}_{\mathrm{v}} $/m
    Diameter
    $ {b}_{\mathrm{v}} $/m
    Density
    $ {N}_{\mathrm{v}} $ /shoot·m−2
    Drag coefficient
    $ {C}_{\mathrm{D}} $
    Mudflat150000
    Seedling zone350.60.056Re-$ {C}_{\mathrm{D}} $
    Mature mangroves201.80.152Re-$ {C}_{\mathrm{D}} $
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