Effect of coastal resolution on global estimates of tidal energy dissipation

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Effect of coastal resolution on global estimates of tidal energy dissipation Maialen Irazoqui Apecechea, Martin Verlaan

Contents The GTSMv2.0 model Characteristics Major developments Applications Coastal resolution Are tidal dynamics represented with 5km? Further refinement globally Further refinement locally Results: Convergence of dissipation estimates Conclusions Future work

The GTSMv2.0 model Global Tide Surge Model: 2D barotropic model Unstructured global grid: 50 km deep waters, 5km at the coast (~4M nodes) GEBCO 2014 bathymetry (~1km) TGF driven, no assimilation Runtimes in 8 cores ~1hour/week Tidal Validation/Verification: ~20cm for coastal stations (UHSLC) ~ 7 cm in deep waters (FES2012) Surge Validation: A global reanalysis of storm surges and extreme sea levels(muis et al. 2016)

The GTSMv2.0 model - Major developments Self Attraction and Loading effect Reduction of errors in tidal representation of ~50 % in coastal stations and ~60% in deep waters Minimal increase of computational time (<3%) Barotropic tidal energy dissipation through generation of internal tides Dominant in deep waters (1TW out of 3.5TW) τ II = Cρκ 1 N u Dissipation =f (Stratification, bathymetry gradient, cross-slope flow) Mid-ocean ridges and trenches (e.g. Mid-Atlantic Ridge) Continental shelves (e.g. Bay of Biscay) Island chains (e.g. Hawaiian Ridge) Both physical processes are key to obtain good tidal propagation results

Grid Bathymetry gradient based refinement:

The GTSMv2.0 model - Applications Widely used for research (e.g. TC induced surge, global reanalysis of extreme sea levels) Bathymetry/Geodesy (e.g. altimeter data reduction, vertical reference planes/geoid) Boundary conditions for regional models/ Ready-to-go regional models Surface currents Prediction tool for the Dutch team in the Volvo Ocean Race Climate change studies using climate models (e.g. EC-Earth) Operational forecasting - GLOSSIS

GLOSSIS SARIKA (Oct 2016) 4 times a day, 10 day forecast NOAA GFS (3h time-step, 10 day forecast) 16000 DIVA segments, near real-time IOC and satellite data Threshold defined based on return periods for high-water

Today: Coastal resolution study Coastal resolution Are tidal dynamics represented with 5km grid size? Highest resolution in existing Global Tide Models is 6-7km Propagation speed depends on bathymetry Dissipation through bottom friction (shallow waters) influences amphidromic point locations Experiments Higher coastal resolution: 2.5km and 1.25km worldwide (9M nodes!) Local to remote impacts: 0.6 and 0.3km in Australia (10.5M nodes..!) Look at sensitivity in terms of tidal dissipation: defined areas around the globe (Egbert and Ray, 2001) + above ±66 lat estimates Bottom friction dissipation: 1-29 coastal areas (plus high latitudes = 31 areas) Internal tides dissipation : A-I deep ocean areas (note: quite large areas)

Increased grid resolution

Results Bottom friction dissipation areas Total 1.25km = 99% of 2.55TW Big differences from 5km to 2.5km in many places and globally (2.76 to 2.55TW). 1.25km shows differences locally (2.6 to 2.55TW) 0.6km and 0.3km coastal resolutions in Australia show no meaningful impact globally or locally (boring! but relieving) Polar latitude areas non-negligible (~7%) Literature ~2.5TW

Results Bottom friction dissipation areas West Coast North America, Hudson Bay, European Shelf, Arctic Common features? High latitudes, connection to Arctic Narrow passages and connections potentially affected by resolution Indirect effect of non-converged internal tides dissipation areas: Explore more in detail.

Results Internal tides dissipation Total 1.25km = 41% of 1TW Missing half of the dissipation of the domain, difficult to identify sources Big differences from 5km through to 1.25km in the two main areas and globally (1.52 to 1TW). 0.6km and 0.3km coastal resolutions in Australia show no meaningful impact again (no higher resolution in deeper parts) Non-converged areas: Several island chains affected by the coastal resolution increase. Literature ~1TW

Results Internal tides dissipation West Indian Ocean Melanesia

Results Impact on WL representation Resolution BF dissipation (% in polygons) Literature 2,5TW IT dissipation (% in polygons) Literature 1TW RMS coast (cm) RMS ocean (cm) 5km 2,75 (99,3%) 1,52 (37,6%) 19,8 7,1 2,5km 2,6 (99,2%) 1,21 (39,5%) 17,8 6,8 1,25km 2,55 (99,0%) 1,00 (40,5%) 17,6 6,7

Conclusions Step 5km to 2.5km seems crucial for BF convergence in many places and globally, 1.25km not so crucial. 0.6km and 0.3km coastal resolutions in Australia show no meaningful impact globally or locally. Places in high latitudes not converged. Common features: connection to Arctic (incl. ), narrow passages. IT generation not converged in main areas, only ~40% inside polygons. Several small island chains present in these areas which are better represented by the higher resolution. Why can be important to understand where and how much dissipation takes place? Understand the global system and dependence on local processes BF dissipation: Turbulence Mixing near the coast, implications for other processes (e.g. primary production) IT generation: Key to sustain circulation and mix upper ocean heat into abyssal depths. It is possible that properly accounting for tidally induced ocean mixing may have important implications for long-term climate modeling (Egbert and Ray)

Future work Resolution study: Bottom friction formulation: Combination of Chezy and Manning? Comparison with TPXO dataset M2 dissipation only Divide areas in smaller chunks to better assess sensitivities and possible ` indirect effects Australia case not very exciting Resolution tests using EMODnet 250m bathymetry in Europe (non-converged)

Thank you Questions?