Observed and simulated wavetide interaction in a region of. high tidal flow

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Observed and simulated wavetide interaction in a region of high tidal flow Lewis M*; Chang W; Neill S; Robins P; Hashemi R;Ward S; Piano M * m.j.lewis@bangor.ac.uk

(1/12) Summary Dynamically coupled wave-tide model (COAWST) simulated a 2 month period (Jan Mar 2014) Validated and idealised simulations used Effect of tide on wave Hs found in some regions On average, Hs could be up to 20% larger at HW in areas observed with 5 beam ADCP and Wave buoy

(2/12) (1) Waves on tides Enhanced bottom friction / stress (apparent Z0) Additional mass and momentum to the flow (e.g. vortex forces and stokes drift) (2) Tides on waves Currents Wave generation (apparent wind speed), Doppler shift, refraction Water depth Changes bottom friction, shoaling/refracting the wave Wolf & Prandle (1999) Coastal Eng. 37(3-4)

(3/12) The Irish Sea Spring tide amplitude (m) & cophase (hrs) Spring tide peak current (m/s) & cophase (hrs) Previous Irish Sea wave-current interaction research Effect of tides on waves not uniform; 10% effect on Hs in coastal areas and regions of strong tides. Effect of waves on currents also evident ~10% (Wolf, 2009; Brown et al. 2010; 2011)

(4/12) Motivation Renewable marine energy Influence of waves on the tidalstream energy resource and turbine design Coastal flood risk Wave run-up, erosion, dune failure Do larger waves occur at high www.energy.soton.ac.uk Did wave-tide interaction have a role in the tide? the waves will, obviously, drop off towards low tide @westcoastsurf report From cefas wavenet Jan-14 Aberystwyth flood that caused 1.5M? Image from google

(5/12) COAWST model to simulate wave-tide interaction ~0.6km resolution with 10 sigma layers ECMWF 3 hourly wind fields and outer N.Atlantic nested SWAN model, with 10 FES2012 tide constituents. CD= 0.003 with wave-τ parameterised as artificial roughness (SWBBL D50 3mm). Velocity and depth (u, v, h, h) Wave forces and momentum (Dwave, Hwave, Lwave, Pwave_top, Pwave_bot, Ub_swan, Wave_dissip)

(6/12) COAWST model 2 month validation SC validation 11 tide gauges: M2 RMSE = 0.11m & 8 (~6% error) S2 RMSE = 0.05m & 11 (~5% error) Validation data from: ntslf.org, Storm-surge.info, & Seacams COAWST validates well & using COAWST does improve model skill (e.g. R2 by 2-5%) compared to SWAN, but we find using COAWST does not improve accuracy for our case (RMSE similar ~2cm difference) COAWST Hs validation: Hs RMSE R² Bias Ab 0.64m (9%) 90% -0.29 SC 0.37m (7%) 84% 0.18 M2 0.70m (17%) 92% 0.02 esurge 0.58m 56% 0.60

(7/12) COAWST results: Hs larger at HW Difference between Hs at HW between COAWST and SWAN calculated On average (for all η), COAWST Hs slightly larger (3%) than SWAN, especially so at strong tidal-flow regions (δhs ~ 0.3 0.5m) Spatial variability, but on average Hs at HW is larger when including the tide for parts of the coastline

(8/12) Evidence of wave-current interaction 1/λ=1/33 Shorter period storm waves more affected by the tides compared to swell waves (e.g. Hashemi et al. 2014).

(9/12) Are shorter period waves more affected? Idealised simulation A = SW swell : 2m Hs & 10s Tz B = SW storm : 2m Hs & 5s Tz Simulated δhs over a tidal cycle (%) calculated, and δhs of B - δhs of A (so: >0% = storm waves more effected by the tide) Result Spatial variability, but storm waves are more affected by tides, with similar pattern and result found in 2-month simulation

(10/12) Observations from the tidal-stream energy demonstration zone 5-beam ADCP @ 600kHz with 0.5m bins, ensemble-averaged to 30mins. Datawell directional wave-rider buoy around 2km SW of ADCP with 30min outputs. COAWST Hs validated well here (RMSE = 0.37m ~7% with R2 of 84%) But if I use Hs measured with ADCP, validation improves (RMSE = 0.34m) so COAWST now more accurate than SWAN at all sites

(11/12) ADCP measurement of waves ADCP Hs<buoy Hs consistently ADCP underpredicts larger/swell waves* δhs oscillates with period of tidal currents δhs = 0.1*U? (Rho 32% & R² 11% ) *converse to literature, but could this be the bender moment? Is the current affecting buoy observations?

(12/12) Conclusion Tides significantly affect Hs Storm wave Hs more affected by tides Simulated Hs is larger at HW for some regions Is the wave buoy affected by tidal currents? Future work: Further analysis with observations (e.g. wave direction & Tz) Effect of waves on tides Velocity profile? MRE resource? effects to flood risk Asymmetry on sediment transport from wave-tide interaction? Beach and dune effects?