On the impact of the assimilation of ASAR wave spectra in the wave model MFWAM

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On the impact of the assimilation of ASAR wave spectra in the wave model MFWAM Lotfi Aouf, Jean-Michel Lefèvre Météo-France, Toulouse SEASAR 2012, 4 th International workshop on Advances in SAR oceanography, Tromso, Norway 18-22 June 2012

Outline 1- Motivation 2- Description of the new operational forecasting system - New model MFWAM - Assimilation suite 3- Validation of the operational wave parameters 4- Results on the optimization of the assimilation scheme 5- case of high sea conditions (hurricane KATIA Aug-Sep 2011) 6- Conclusions and future works

Motivation Assessement of the assimilation system in the new wave model MFWAM (improving the wave forecast) improve high seas forecast (case of hurricanes) : better boundary conditions for regional models Evaluate the contribution of each instrument of satellite wave observations (SAR, altimeters, ) Preparation to future satellite missions CFOSAT (low cut-off ~70 m) complementary use of different instruments (ASAR, SWIM,Jason- 3..)

Relevance of using good swell conditions in the generation zone Meteo-France is responsible for issuing marine forecasts (wind and sea-state) at national level (Safety of people and goods, Navy, ) and international level (GMDSS: Global Maritime

The new wave model MFWAM -Based on ECWAM code with new physics for dissipation: (Ardhuin et al. 2010, JPO) Non isotropic dissipation: -> Better adjustment of the mean direction and angular spreading Threshold mechanism from the saturation spectrum, instead of mean wave steepness dependency Breaking term: New term for swell damping due to air friction

The assimilation system Assimilation of altimeters RA2 and Jason-2 Optimal interpolation on SWH (Significant wave height) Correction of wave spectra using empirical laws and assumptions ENVISAT RA-2 Example of 1 day global coverage of total wave height

The assimilation of ASAR L2 wave spectra Available on the GTS of meteorological services since August 2010 Robust Quality control procedure for ASAR wave spectra (Aouf et al. 2008) Threshold intervals for signal parameters (3<snr <30, NVI ASAR imagettes 1-1.6 and wind speed) Use of a variable cut-off for SAR wave spectra depending on the azimuthal cut-off, the orbit track angle and the wave direction from the model ASAR wave spectrum (before cut-off) After using variable cut-off

Description of the assimilation of ASAR L2 wave spectra MFWAM wave spectra FG ASAR L2 wave spectra Partitioning Wave trains Partitioning Wave trains Cross assignment FG and ASAR partitions Threshhold parameter Optimal interpolation OI Mean energy and wave numbers components Reconstruction of analysed wave spectra

Example of partitioning (case of prestige ship accident)

Optimal interpolation N X a = X f + i W i ( X i o-hx i f ) Where Xa and Xf stand for the analysed and first-guess wave parameters (energy, wave umber) The corrected weights depend on the covariance error matrix : W= PH T [HPH T +R] P and R are respectively the background and observations covariance errors. While H is location operator P=σ f i σ f j exp( ( d ij c).) and 2 R= σ λ o σ indicates the standard deviation and d is the distance between the observations and affected grid points. While l stands for the λ correlation length.

New wave forecasting system of Meteo-France: Global version of the model MFWAM is running at 55 km resolution driven by wind forcing of ECMWF, the grid is irregular in longitude The wave spectrum resolution is 24 directions and 30 frequencies The assimilation uses altimeters and ASAR L2 wave spectra available on the GTS since August 2010. the time step is 6 hours and the analyses are produced 2 times a day (R0 and R12) The output of 32 mean wave parameters is produced every 3 hours and archived in the MF data base (BDAP) Boundary conditions are produced for two regional models : Regional version at 0.25 resolution running over South Indian Ocean Regional versions for European Aera at 10 km resolution

VALIDATION OF SWH WITH BUOYS DATA Data are collected from April to December 2011 (JCOMM model intercomparison archive produced by J. Bidlot (ECMWF)) Location of common Automatic Weather Stations AWS (wind + waves), all real time and on GTS

Scatter plots of Sig. Wave Heights from MFWAM operational system and Buoys Operational with assimilation of SAR Jason-2 and Envisat Ra2 Run without assimilation Bias = -0.04 SI = 15.1% NRMS = 15.3% Slope = 0.98 Intercept = -0.01 Data collected : 79420 April to December 2011 Bias=-0.01 SI=16.1% NRMS=16.4% Slope=1.02 Intercept=-0.05

Output from MFWAM operational forecasting system Q-Q plot of Peak period Tp from MFWAM andbuoys (North America) Operational with assimilation of SAR Jason-2 and Envisat Ra2 Run without assimilation Bias = 0.12 SI = 14.1% NRMS = 14.2% Slope = 1.10 Intercept = -0.76 Data collected : 34277 April to December 2011 Bias=0.31 SI=19.2% NRMS=19.6% Slope=1.14 Intercept=-0.92

VALIDATION WITH JASON-1 Sig. Wave Height (Jason-1 data not assimilated in 2011)

Output from MFWAM operational forecasting system Validation with Jason-1 Sig. wave heights Operational with assimilation of SAR Jason-2 and Envisat Ra2 Run without assimilation Bias = -0.09 SI = 10.6% NRMS = 11.0% Slope = 1.02 Intercept = -0.14 Data collected : 170942 April to December 2011 Bias=0.04 SI=14.1% NRMS=14.2% Slope=1.12 Intercept=-0.29

Output from MFWAM operational forecasting system Validation of with Jason-1 Sig. Wave height (off assimilation) Since starting the assimilation of ASAR directional wave spectra and both Jason-2 and Ra2 atlimeters wave heights Scatter index of SWH 16 14 12 10 8 6 4 2 10,4 10,5 9,2 14 Statistics for different ocean basins 13,1 10,8 High Lat > 50 Intermed 20 <lat<50 Tropics <20 0 MFWAM-OPER MFWAM-NOASSI Collected Jason-1 data: 1701942 April to December 2011

Results on the assimilation of ASAR L2 only Comparison with jason 1 & 2 wave height MF-Ra2+SAR : MFWAM with the assimilation of Envisat Ra2+SAR MF-NOASSI : MFWAM without assimilation MF-SARONLY : MFWAM with assimilation of SAR only Scatter index (%) 16 14 12 10 8 6 4 2 0 12,1 Statistics for different ocean basins 11,3 9,7 13,8 12,9 14,8 13,4 11 11 MF-Ra2+SAR MF-SARONLY MF-NOASSI High lat intermed Tropics Because of the new Dissipation in the MFWAM, there is no impact in the tropics Sep. 2010 to March 2011

Impact of the assimilation in the forecast period SWH Mean Wave Period Difference between runs of MFWAM with and without assimilation 3-day forecast starting from 5 May 2011, by step of 6 hours

Impact of the assimilation of Altimeters and ASAR wave data Period of forecast Positive impact for the significant wave height RMSE evolution after 4-day forecast 1 is 0-24h average period, 2 is 24-48h,. Comparison with Jason-2 and Envisat Ra-2 in the period of forecast

Optimization of the assimilation scheme Adjustment of the correlation legnth and the distance of influence of the ASAR wave spectra Adjustment of threshhold level for combining two peaks of partitions when they are close to each other Smoothing of the filling gaps between the analysed partitions in order to reconstruct the analysed wave spectrum Reject the partition when the wave height of the partition exceeds 30 cm in order to avoid noisy spectrum Run test of 3 months (April to June 2011)

Optimization of the assimilation scheme Validation with Jason-1 Sig. Wave height (off assimilation) Scatter Index (%) 16 14 12 10 8 6 4 2 0 9,8 10,2 9 13,613,2 11,7 11,4 10,8 10,7 10,1 MF-OPTI MF-NOASSI MF-ASSI-ALTI MF-OPER 9,5 9,1 High Lat >50 Intermediate 20 <lat<50 Tropics <20 MF-OPTI : MFWAM with the optimized assimilation scheme MF-NOASSI : MFWAM without assimilation MF-ASSI-ALTI : MFWAM with assimilation of altimeters only MF-OPER : MFWAM operational (with assimilation of SAR and Ja2 and Envisat) 3 month test : April to June 2011

Optimization of the assimilation scheme Validation with buoy peak period Tp (NA) Scatter index (%) 18 16 14 12 10 8 6 4 14 14,4 10,8 16,3 14,9 12,1 12,5 12,7 Tp > 4 sec Tp > 10 sec 2 0 MF-OPTI MF-OPER MF-NOASSI MF-ASSI-ALTI MF-OPTI : MFWAM with the optimized assimilation scheme MF-NOASSI : MFWAM without assimilation MF-ASSI-ALTI : MFWAM with assimilation of altimeters only MF-OPER : MFWAM operational (with assimilation of SAR and Ja2 and Envisat) 3 month test : April to June 2011

impact of the ASAR on peak wave period (Tp>12 sec) Total contribution of ASAR L2 14 12 10 8 6 4 2 0 10,2 MF-OPTI 12,4 12,5 MF-ASS-ALTI MF-NOASSI Tp > 12 sec MF-OPTI : MFWAM with the optimized assimilation scheme MF-NOASSI : MFWAM without assimilation MF-ASSI-ALTI : MFWAM with assimilation of altimeters only 3 month test : April to June 2011

Impact of the assimilation in hurricane season 2011 (Hurricane Katia) Snapshot of SWH from operational MFWAM From August 26 to Sep 6, 2011 Increment induced by the assimilation (Analyses-without assimilation) with a step of 6 h

Impact of the assimilation in case of hurricanes validation of Sig. Wave height with Jason-2 Statistics of Sig. Wave height (NA domain) A B BIAS -0.02 0.11 Scatter index 13.3 14.6 Slope 1.06 1.12 Intercept -0.19-0.23 A : 1-day forecast of the operational MFWAM with assimilation B : Analyses of MFWAM without assimilation --> The 1-day forecast improves the wave heights by ~9% Aug. 26 to Sep. 6, 2011

Conclusions The impact of the assimilation is significant on the wave analyses performed by the new MF wave forecasting system with different values depending on reference data - 10% and 25% when estimated with swh and Tp from buoys - 25% when estimated with altimeter swh MF is the first Met Service assimilating operationally ESA/ASAR L2 products as defined by IFREMER and NORUT The contribution of ASAR in the assimilation is clearly showed for the peak period Tp>12 sec : only the use of ASAR improves the analyses by more than 20% The assimilation of ASAR L2 only improves the estimate of Sig. Wave height by roughly 10% in comparison with altimeters (mainly in high and intermediate latitudes)

Conclusions and future works Positive impact of the optimization of the scheme in particular for Tp > 10 sec (improvement by ~12%) The assimilation reveals efficient for high sea conditions as shown in the case of hurricane Katia Impact studies based on synthetic wave spectra from SWIM instrument on CFOSAT satellite (Chineese-French program, launch 2015) and performances combining several instruments (new ASAR and altimeters) Improvement of the assimilation scheme (modify error covariance functions- use of wave partitions to adapt correlation lengths )

Impact of the assimilation of ASAR wave spectra only comparison with Jason 1&2 wave heigths Assimilation of ASAR only Run without assimilation 16 15 14 14 15,1 Scatter index (%) Data collected : 170942 13 MF-ASSI MF-NOASSI Sep. 2010 to March 2011