Atmosphere-Ocean Interaction in Tropical Cyclones

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Atmosphere-Ocean Interaction in Tropical Cyclones Isaac Ginis University of Rhode Island Collaborators: T. Hara, Y.Fan, I-J Moon, R. Yablonsky. ECMWF, November 10-12, 12, 2008

Air-Sea Interaction in Tropical Cyclones Two U.S. operational hurricane prediction models are coupled with h ocean models: GFDL (since 2001) and HWRF (since 2007).

Critical Aspects of TC-Ocean Interaction Accurate initialization of ocean mesoscale features. Dynamical and microphysical processes near and at the sea surface that influence air-sea momentum and heat fluxes.

Accurate Ocean Initialization of Mesoscale Features Hurricane Katrina GFDL Model Forecast: Initial time August 26, 00 UTC, 2005 SST and Surface Current Temperature and Current at 75 m Feature-based ocean initialization assimilates satellite altimeter, sea surface temperature and in situ data in the Gulf of Mexico (Yablonsky and Ginis 2008) implemented operationally

GFDL Hurricane Katrina Forecast: SST and Surface Current 72 h Forecast 96 h Forecast

Hurricane Katrina Forecast: Modified LC and No Warm-core Ring SST and Surface Current Temperature and Current at 75 m

Hurricane Katrina: Modified LC and no Warm-core Ring 72 h Forecast 96 h Forecast

Hurricane Katrina Intensity Forecasts Central Pressure Maximum Winds Green Real-time forecast Blue Modified LC and no warm-core ring Black - Observations

3D vs. 1D Ocean Coupling Some recent studies (Emanuel et al. 2004; Lin et al. 2005, 2008; Bender et al. 2007; Davis et al. 2008) suggest that coupling a 1D ocean model to a TC model may be sufficient for capturing the storm-induced SST cooling in the region providing heat energy to the TC. If a 1D model is sufficient, valuable computational resources can be saved as compared to coupled models that employ a fully three-dimensional (3D) ocean component.

Prescribed translation speed Hurricane vortex A T M O S P H E R E Homogeneous initial SST Vary position of ring relative to storm track O C E A N Warm core ring evident in subsurface temperature field C0 N0 R2 L2

Difference in SST Response Underneath the TC Core Using a 1D and a 3D Version of the Same Ocean Model Hurricanes have historically translated at < 5 m s -1 73% and < 2 m s -1 16% of the time in the Gulf of Mexico at < 5 m s -1 62% and < 2 m s -1 12% of the time in the entire western tropical North Atlantic

3 D Along-track temperature cross-sections sections 1 D 1.0 m s 1 2.4 m s 1 4.8 m s 1

SST and currents 6 hrs after storm passes WCR center longitude: 3-D experiments C0 N0 WCR Storm Storm Speed = 2.4 m s 1 L2 R2 WCR Storm WCR Storm

SST and currents 6 hrs after storm passes WCR center longitude: 1-D experiments C0 N0 WCR Storm Storm Speed = 2.4 m s 1 L2 R2 WCR Storm WCR Storm

SST cooling within 60-km radius of storm center 3-D 1-D R2 N0 N0 > R2 Mean ΔSST Speed = 2.4 m s 1 > Mean ΔSST 3-D WCR 1-D WCR < < Storm R2 SST N0 SST at +6 hours Storm R2 SST N0 SST at +6 hours

Conventional coupling between TC models and ocean models Wind speed (U a ) Temperature (T a ) Humidity (q a ) (at 10 m height) Tropical Cyclone Model Momentum flux (τ) Sensible heat flux (Q H ) Latent heat flux (Q E ) Air-Sea Interface Surface current (U s ) SST (T s ) (stability correction omitted for simplicity) Q Q H E τ = ρ = C L = C H V P acd( U a U s ) ( U U )( T T ) C E a s Ocean Model a ( U U )( q q ) a s a s s CD C H C E Momentum flux (τ) (Kinetic energy flux) Drag Coefficient Heat Transfer Coefficient Humidity Transfer Coeff. (Dalton Number)

(CBLAST) C E C D Black et al. (2007) Observations of exchange coefficients C / C E D Black stars: CBLAST data Black dash: HEXOS data Green: COARE 3.0 (Bulk)

Waves Generated by Tropical Cyclones WAVEWATCH III wave model calculations Wind Field (m/s) 0m/s TSP = 5m/s 0m/s10m/s TSP = 5m/s 10m/s Wave Field TSP 0m/s TSP 5m/s Hs (m) Hs (m) TSP 10m/s Hs (m)

Coupled Wind-Wave Wave Model Near the peak : WAVEWATCH III (WW3) model. High frequency part : Equilibrium Spectrum model of Hara and Belcher (JFM, 2002) Near peak High frequency part Full wave spectrum k min k 3 k 2 k 1 k 0 k max Δk 2 Δk 1 Δk0 25 3 2 1 0-1 -max k v Wave Boundary Layer model of Hara and Belcher (JPO, 2004) Kukulka and Hara (JPO, 2008) Explicitly calculates wave-induced stress Wind profile and drag coefficient over any given seas

Sea state dependence 5 4 Constant z ch (0.0185) Calculations are based on observed hurricane winds in the Atlantic basin. At high wind speeds, C d levels off and even decrease with wind speed CD * 1000 3 2 Extrapolation of Large & Pond (1981) s formula Upper and lower bounds of C d from all earlier exp. 1 GPS sonde observation under various hurricanes (Powell et al., 2003). 0 Powell et al. (2003) Large & Pond (1981) WW3 (upper and lower bound) Bulk, 0.0185 Our results (upper and lower bound) 20 30 40 50 U10 (m/s)

Charnock Coefficient vs. Wind Speed and Input Wave Age Red indicates the range of realizable input wave age for given wind speed Input wave age is one of the output parameters of WW3 and is a measure m of the development stage of locally wind forced waves, excluding the effects of long swell and waves that are misaligned with the local wind

Sea State Dependence in Coupled TC-Wave Model Zo Cd m m/s m/s Input Wave age m/s

Wind-Wave Wave-Current Interaction Wind Sea state Surface waves r r τ air τ c τ r c τ r air Current Current τ r air Ocean currents Atmosphere Ocean

Energy and Momentum Flux Budget Across Air-sea Interface EF air = EF c + (EF growth + EF divergence ) r τ air r = τ c c + c r ( τ + τ ) growth r divergence Horizontal wave propagation r (EF divergence, τ divergence) Wave growth ( EF growth, ) τ r growth Ocean Currents c c

Wind-wave wave-current interaction Ocean response τ air Currents W at 90 m

Wind-wave wave-current interaction Differences in Momentum Flux τ c in A / τ air in Control τ air in B / τ air in Control Exp A Exp B Budget No current wind No current wave No budget Current wind Current wave Exp C τ air in C / τ air in Control τ c in D / τ air in Control Exp D No budget Current wind No current wave Budget Current wind Current wave

Effect of Wind-Wave Wave-Current Interaction on Drag Coefficient Wind-wave coupling only Wind-wave wave-current coupling Cd Cd

Effect of Atmosphere-Wave Wave-Ocean Interaction on TC forecasts (Idealized experiments) Central Pressure Maximum Winds Track

Air-Sea Coupling Strategies for Tropical Models In the TC model,, parameterizations of the air- sea heat and momentum fluxes and sea spray source functions explicitly include SST, sea state dependence,, and ocean current effects. The wave model is forced by a) sea-state state dependent momentum flux and includes ocean current effects. The ocean model is forced by sea-state dependent momentum and kinetic energy fluxes calculated from the air-sea flux budget.

Summary Accurate initialization of ocean mesoscale features is critical for skillful coupled TC-Ocean forecasts. By neglecting upwelling 1D mixed layer models are inadequate for TCs translating at 5 m/s or less and misrepresent TC-induced SST cooling in the vicinity of oceanic fronts and eddies. Improved predictions of TC intensity, structure, and motion will require fully coupled ocean-waveatmospheric models that explicitly resolve the effects of sea state on air-sea fluxes and spray generation.