Impact of frontal eddy dynamics on the Loop Current variability during free and data assimilative HYCOM simulations

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Impact of frontal eddy dynamics on the Loop Current variability during free and data assimilative HYCOM simulations Matthieu Le Hénaff (1) Villy H. Kourafalou (1) Ashwanth Srinivasan (1) George R. Halliwell (2) (1) RSMAS, Miami, FL (2) NOAA-AOML, Miami, FL

Overarching objective: Develop a data assimilative system in the Gulf of Mexico for ocean forecasting and observation array design (OSSEs) General framework: The Loop Current extension and evolution in the Gulf of Mexico are very sensitive to frontal dynamics Illustrated during the Deepwater Horizon oil spill May 19 May 19 Extension of oil at the surface of the Gulf, based on NOAA analysis (The New York Times) Around mid-may, the oil slick is entrained within a frontal cyclone Dynamic Height and geostrophic currents estimated based on altimetry (NOAA/AOML) Risk of entrainment into the LC : estimated ~2 weeks from south Florida

Loop Current dynamics (spring-summer 2010) April 20 Initially, the Loop Current (LC) is well extended in the Gulf of Mexico (GoM), but still south of the DWH rig It is surrounded by several frontal cyclones, and one anticyclone west of the DWH rig In the following weeks, frontal eddies strengthen and the LC bends eastward May 15 Around May 25, the warm core ring named Eddy Franklin detaches May 25 Dynamic Height and geostrophic currents estimated based on altimetry (NOAA/AOML)

Loop Current dynamics (spring-summer 2010) June 8 In June, Eddy Franklin partially reattaches to the LC The frontal cyclone originally north of the LC migrates southward An eddy forms along the Campeche Bank, west of the LC June 25 July 3 Dynamic Height and geostrophic currents estimated based on altimetry (NOAA/AOML). In color are drifter trajectories

Loop Current dynamics (spring-summer 2010) July 9 Under the combined influence of the 2 frontal eddies, Eddy Franklin fully detaches early July Dynamic Height and geostrophic currents estimated based on altimetry (NOAA/ AOML). In color are drifter trajectories Modeling the Loop Current dynamics requires a sufficiently high resolution model to account for mesoscale dynamics. This implies the use of a regional model. The data assimilation should benefit from error statistics adapted to the local dynamics

STEP 1 : Free run simulation GoM-HYCOM 1/25 degree, 26 vertical layers, 5 years (2004-2008) Atmospheric forcing: COAMPS (27 km, 3h) IC: 1-yr simulation run at NRL BC: climatology from 4 years of Hycom Atlantic simulation Model, 2005 AVISO, 2005 Evaluation : comparison of sea surface heights with altimetry Model, 2007 AVISO, 2006 realistic extension of the LC eddy shedding - along the northern Gulf shelf - in the center of the GoM other evaluation: SST, in situ moorings and buoys Time evolution of LC and eddy contours based on model ssh and Aviso absolute dynamic topography)

Surface relative vorticity May 5 - July 21, 2007 (free run) A May 20 B Jun 04 B Jun 26 A C A Jul 07 Jul 12 Jul 21 C B A C B A C B sequence comparable to the DWH oil spill case interactions eddy/eddy, eddy/current 10-5 s -1

Intensification of a frontal eddy in the Northern Gulf Surface June 5 Jun 09 Jun 13 B 400-500m Layer thickness (m) of layer 19 (400 to 500m deep), with contours of relative vorticity surface and in-depth intensification of cyclonic vorticity increase of layer thickness: vortex stretching

STEP 1 / Conclusions: Frontal eddies play a crucial role in the Loop Current ring separation, by interacting with each other as well as with the current Deepening topography along the northern edge of the LC seems to favor frontal cyclone intensification (vortex stretching) We have developed a good candidate for a nature run, suitable for Loop Current frontal dynamics studies. A realistic nature run ensures that the results from OSSEs are relevant for observational array design.

STEP 2: High resolution data assimilative (predictive) model Hycom 1/50 degree, 20 vertical layers, focus on DWH oil spill event Same attributes as free-run: atmospheric forcing (COAMPS), IC (NCODA simulation) and BC (climatology Hycom Atlantic simulation) Data assimilation : Singular Evolutive Extended Kalman (SEEK) filter (Pham et al., 1998) allows choice of dominant modes according to the most relevant state: Analyzed state:, where is the gain matrix, with the model error covariance matrix, and the observation error covariance matrix. In the SEEK filter,, with being the most dominant EOF modes (1 to M) here : multivariate EOFs (SSH, barotropic velocities, 3D velocities, temperature, salinity) static EOFs pre-calculated from a long-term free run, from periods where the LC is at an extended phase

Dominant modes in the EOF decomposition Mode 1 (39.9% of variance), SSH mode 1: main signature in the area of expansion of the LC + frontal eddies modes 2 and 3 : signature of mesoscale dynamics in the LC area Mode 2 (19% of variance), SSH Mode 3 (11.5% of variance), SSH Signature in SSH (cm) of the first 3 modes in the EOF basis used for the SEEK filter

1 st data assimilation experiment (SEEK1: DA of SSH only) Assimilation of Jason-1 and Jason-2 along-track sea level anomaly Analysis based on altimetry observations imposed on all variables Free running Hycom 1/50 from 1/1/2010, data assimilation April 8 - May 28 April 8 April 25 AVISO SSH (cm) April 8 April 25 SEEK SSH (cm) April 8: the LC is extended, but not in the same position as observed After 2 weeks, the assimilation succeeds in putting the LC dynamics right Especially, frontal eddies are well located Observed Mean Absolute Dynamic Topography (AVISO, cm) and modeled SSH (cm) with data assimilation

1 st data assimilation experiment (SEEK1: DA of SSH only) Late May : separation of Eddy Franklin May 21 May 7 AVISO SSH (cm) May 21 SEEK SSH (cm) Observed Mean Absolute Dynamic Topography (AVISO, cm) and modeled SSH (cm) with data assimilation SEEK SST ( C) SEEK SST ( C) May 8 The separation of Eddy Franklin takes place on May 19, earlier than observed Formation of a spurious anticyclone in the western Gulf Associated with unrealistic cold anomaly in SST => unrealistic correlation from the EOFs Modeled SST ( C) with data assimilation

2 nd data assimilation experiment (SEEK2: DA of SSH + SST) Observed SSH affect : model SSH, currents, layer thickness Observed SST affect : model temperature only SEEK-1 SST ( C) DA: SSH only April 10 Without SST assimilation : cold bias With SST assimilation : cold bias fixed in a few days Dynamics are efficiently corrected by SSH (so far) April 10 Observed SST ( C) SEEK-2 SST ( C) DA: SSH+SST April 10 Modeled SST ( C) for the 1 st SEEK experiment (only SSH assimilated), observed by satellite (AMSR-AVHRR), and modeled for the 2 nd SEEK experiment (SSH+SST assimilated)

STEP 2/ Conclusions: GoM-HYCOM 1/50 (SEEK): Data assimilation set up for simulating the LC dynamics during the Deepwater Horizon oil spill event with assimilation of real observations (along-track altimetry and SST) advantageous due to EOF decomposition based on periods that represent the extended Loop Current phase Preliminary results : (a) SEEK1 (SSH assimilation only) gives satisfactory LC dynamics with frontal eddies, but: cold bias impacting cyclone growth; (b) expanding to SEEK2 (SSH+SST assimilation) quickly fixes the cold bias The predictive model seems successful in assimilating real observations, therefore it should be well tuned for twin experiments.

Perspectives Test the SEEK with refined EOF basis Assimilate in situ profiles (temperature, salinity) Demonstrate the capability of running a real-time forecasting system for the Gulf of Mexico by the RSMAS-AOML group

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