Ocean Wave Forecasting at Ecmwf Version 201402

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    Slide 1

    OCEAN WAVE FORECASTING

    AT E C M W F

    Jean-Raymond Bidlot

    Marine Prediction Section

    Predictability Division of the Research Department

    European Centre for Medium-range Weather Forecasts

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    Slide 2

    Ocean waves:

    We are dealing with wind generated waves at the surface of the oceans,

    from gentle to rough

    Ocean wave Forecasting

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    Slide 3

    Ocean Waves

    1.010.0 0.03 3x10-3 2x10-5 1x10-5Frequency (Hz)

    Forcing:

    wind

    earthquakemoon/sun

    Restoring:gravity

    surface tension Coriolis force

    Ocean wave Forecasting

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    Slide 4

    A Wave Record

    Individual Waves,

    Significant Wave Height, Hs,

    Maximum Individual Wave Height, Hmax

    Hmax

    Hs= H1/3

    Individual waves

    etc.

    Surface elevation time series from platform Draupner in the North Sea

    Ocean wave Forecasting

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    Slide 5

    Wave Spectrum

    The irregular water surface can be decomposedinto (infinite) number of simple sinusoidal

    components with different frequencies(f) and

    propagation directions(

    ).

    The distribution of

    wave energy

    among those

    components is

    called:

    wave spectrum,

    F(f,).

    Ocean wave Forecasting

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    Slide 6

    OceanWave

    Modellin

    g

    Modern ocean wave prediction systems are based on

    statistical description of oceans waves (i.e. ensemble

    average of individual waves).

    The sea state is described by the two-dimensional wavespectrum F(f,).

    Ocean wave Forecasting

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    Slide 7

    Ocean Wave Modelling

    The 2-D spectrum follows from the energy balance equation (in its

    simplest form: deep water case):

    Where the group velocity Vgis derived from the dispersion relationship

    which relates frequency and wave number.

    dissnling SSSFVt

    F

    Sin: wind input source term (generation).

    Snl: non-linear 4-wave interaction (redistribution).

    Sdiss: dissipation term due to whitecapping (dissipation).

    Ocean wave Forecasting

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    Slide 8

    Once you know the wave spectrum F, any other seastate parameters can be estimated. For example, the

    mean variance of the sea surface elevation due towaves is given by:

    The statistical measure for wave height, called thesignificant wave height(Hs):

    The term significant wave heightis historical as this valueappeared to be well correlated with visual estimates of wave heightfrom experienced observers. It can be shown to correspond to theaverage 1/3rdhighest waves (H1/3).

    Ocean Wave Modelling

    dfdfF ),(2

    2

    4Hs

    Ocean wave Forecasting

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    Slide 9

    ECMWF Wave Model Configurations

    From 5 N to 90 N and 98 W to 56 E.

    11 km grid spacing.

    36 frequencies and 36 directions

    Forced by 10m neutral wind fields

    from the global system.

    Data assimilation of altimeter wave

    heights (Jason 2).

    2 daily forecasts (from 0 & 12 UTC)

    extending to day 5, output every

    hour.

    1) Limited area model (LAW)

    Ocean wave Forecasting

    t+54 forecast wave heightvalid 31 January 2014, 6 UTC

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    Slide 10

    ECMWF Wave Model Configurations

    From 5 N to 90 N and 98 W to 56 E.

    11 km grid spacing.

    36 frequencies and 36 directions

    Forced by 10m neutral wind fields

    from the global system.

    Data assimilation of altimeter wave

    heights (Jason 2).

    2 daily forecasts (from 0 & 12 UTC)

    extending to day 5, output every

    hour.

    Imposed surface currents from

    TOPAZ4 system.

    1) Limited area model (LAW)

    Ocean wave Forecasting

    TOPAZ4

    surface currents

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    Slide 11

    ECMWF Wave Model Configurations

    Global from 81 S to 90 N

    Coupled to the atmospheric model

    (IFS) with feedback of the sea

    surface roughness change due to

    waves. The Stokes drift is also

    returned for the parameterisationin the skin layer model for the daily

    cycle of the SST.

    The interface between WAM and

    the IFS has been generalised to

    include air density and gustinesseffects on wave growth and neutral

    winds.

    Data assimilation of Jason-2

    altimeter wave heights.

    2) Global models

    Atmosphe

    ric

    model

    Wavemodel

    neutral wind

    wind gustiness

    air density

    roughness

    Stokes drift

    Ocean wave Forecasting

    Global from 81 S to 90 N

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    Slide 12

    ECMWF Wave Model Configurations

    Ensemble forecasts

    (EPS)

    55 km grid spacing.

    30 25 frequencies *.

    24 12 directions *.

    Coupled to TL639 TL319

    model *.

    (50+1) (10+5) day forecasts from

    0 and 12Z (monthly once a

    week).

    Coupling to ocean model.

    High resolution

    28 km grid spacing.

    36 frequencies.

    36 directions.

    Coupled to the TL1279 model.

    Analysis every 6 hrs and 10 day

    forecasts from 0 and 12 UTC.

    *Change in resolutions after 10 daysNB: also in seasonal forecast at lower resolutions

    Ocean wave Forecasting

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    Slide 13

    IFS-WAM-NEMO coupled system.

    atmospherewaves - oceans

    Ocean wave Forecasting

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    Slide 14

    Wave Model Products

    The complete description of thesea state is given by the 2-Dspectrum, however, it is a fairlylarge amount of data (e.g. 1296values at each grid point in theglobal model (36x36).

    It is therefore reduced tointegrated quantities:

    1-D spectrum obtained by

    integrating the 2-D

    spectrum over all directions

    and/or over a frequencyrange.

    Wave model

    2-Dspectrum

    1-Dspectrum

    Ocean wave Forecasting

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    Slide 15

    Wave Model Products

    When simple numbers arerequired, the followingparameters are available:

    The significant wave height

    (Hs).

    The peak period (period of

    the peak of the 1-Dspectrum).

    Mean period(s) obtained

    from weighted integration

    of the 2-D spectrum.

    Integrated mean direction.

    Few others.

    Complete list at: http://www.ecmwf.int/services/archive/d/parameters/order=/table=140/

    f

    E(f) peak

    area under spectrum=

    < f>(mean frequency)

    fp(peak frequency)

    T= 1 /f

    2

    4Hs

    Ocean wave Forecasting

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    Slide 16

    Wave Model Products2-D spectrum are used to specify boundary conditions

    for limited area wave model.

    Spectraused asboundaryconditionsby Met ireann

    windseaswell

    total sea

    Ocean wave Forecasting

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    Slide 17

    Wave Model Products

    Plot of 2-D spectrum can become very busy !

    windseaswell

    total sea

    Ocean wave Forecasting

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    Slide 18

    Wave Model Products

    Except if you only look at one location

    Ocean wave Forecasting

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    Slide 19

    Wave Model Products

    Use simple parameters:

    total wave height and mean propagation direction

    Wave height and mean direction:

    Analysis : 14 February 2009, 00 UTC

    10m winds and mean sea level pressure:

    Analysis : 14 February 2009, 00 UTC

    Ocean wave Forecasting

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    Slide 20

    Wave height and mean direction:

    Analysis : 14 February 2009, 00 UTC

    Wave Model Products

    PEAK PERIOD:

    Analysis : 14 February 2009, 00 UTC

    Ocean wave Forecasting

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    Slide 21

    Wave Model Products

    Situation might be more complicated !

    Wave height and mean direction:

    Analysis : 15 February 2009, 00 UTC

    10m winds and mean sea level pressure:

    Analysis : 15 February 2009, 00 UTC

    Ocean wave Forecasting

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    Slide 22

    Wave Model Products

    Situation might be more complicated:

    Wave height and mean direction:

    Analysis : 15 February 2009, 00 UTC

    Ocean wave Forecasting

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    Slide 23

    Wave Model ProductsA scheme is used to split the global wave fields into waves which are

    under the direct influence of the forcing wind, the so-called windseaor

    wind waves, and those waves that are no longer bound to the forcing

    wind, generally referred to as swell. Period and mean direction are alsodetermined for these split fields.

    Wave height and swell mean direction:

    Analysis : 15 February 2009, 00 UTC

    Wave height and windseamean direction:

    Analysis : 15 February 2009, 00 UTC

    Ocean wave Forecasting

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    Slide 24

    Wave Model Products

    Windsea and swell: opposing sea

    Ocean wave Forecasting

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    Slide 25

    Wave Model Products

    Windsea and swell: cross sea

    swell

    Ocean wave Forecasting

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    Slide 26

    Wave model deterministic products on the web

    Significant wave height and mean direction

    Wave products available by default on the centres web pages:

    (Home -> Products -> Forecasts -> Ocean Wave Forecasts :

    http://www.ecmwf.int/products/forecasts/wavecharts/index.html#forecasts

    Ocean wave Forecasting

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    Slide 27

    Ocean wave forecasts

    At the end of December 2013 and beginning of January 2014, the UKand western Europe were battered by large waves:

    Ocean wave Forecasting

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    Slide 28

    Ocean wave forecasts

    Wave height forecast and wind from 4 January 2014, step 12hours

    Ocean wave Forecasting

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    Slide 29

    Ocean wave forecasts

    Wave height forecast and wind from 4 January 2014, step 18hours

    Ocean wave Forecasting

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    Slide 30

    Ocean wave forecasts

    Wave height forecast and wind from 4 January 2014, step24 hours

    Ocean wave Forecasting

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    Slide 31

    Ocean wave forecasts

    Wave height forecast and wind from 4 January 2014, step 30hours

    Ocean wave Forecasting

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    Slide 32

    Ocean wave forecasts

    Wave height forecast and wind from 4 January 2014, step 36hours

    Ocean wave Forecasting

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    Slide 33

    Ocean wave forecasts

    Wave height forecast and wind from 4 January 2014, step 48hours

    Ocean wave Forecasting

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    Slide 34

    Ocean wave forecasts

    Wave height forecast and wind from 4 January 2014, step 54hours

    Ocean wave Forecasting

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    Slide 35

    Ocean wave forecasts

    Wave height forecast and wind from 4 January 2014, step 60hours

    Nazare, Portugal, Jan 6, 2014

    Porthcawl, South Wales, 6 Jan 2014

    Ocean wave Forecasting

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    Slide 36

    Long swell forecasts

    Ocean wave Forecasting

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    Slide 37

    Long swell forecasts

    Wave height and long swell forecast from 4 January 2014, step 24

    Ocean wave Forecasting

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    Slide 38

    Long swell forecasts

    Wave height and long swell forecast from 4 January 2014, step 48

    Ocean wave Forecasting

    So far everything has been presented as output from the

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    Slide 39

    0 1 2 3 4 5 6 7 8 9 10

    Forecast day

    2

    4

    6

    8

    10

    12

    14

    Significant wave height (m) at Heidrun

    8 m

    So far, everything has been presented as output from the

    deterministic forecast system. BUT, forecast should actually be

    more probabilistic. Nowadays, weather centres rely on ensemble

    techniques :

    From an ensemble of waveforecasts it is possible to derive

    probabilities for certain wave

    conditions.

    ECMWF Newsletter 95Autumn 2002Significant wave height above 8 m

    06 Nov. 2001 12 UTC ECMWF EPS probability forecast t+120

    DRAUGEN

    HEIDRUNMIKE

    55N

    60N

    65N

    25W

    25W

    20W

    20W

    15W

    15W

    10W

    10W

    5W

    5W

    0

    0

    5E

    5E

    10E

    10E 15E

    15E

    20E

    20E

    25E

    25E

    Surface: signific ant wave height probability >8

    Tuesday 6 November 2001 12UTC ECMWF EPS Probabili ty Forecast t+120 VT: Sunday 11 November 2001 12UTC

    0

    5

    10

    15

    20

    25

    30

    35

    40

    45

    50

    54.47

    50%

    25%

    Ocean wave Forecasting

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    Slide 40

    probability for set thresholds (4m)

    Basic EPS Wave Model Products

    Ocean wave Forecasting

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    Slide 41

    probability for set thresholds (6m)

    Basic EPS Wave Model Products

    Ocean wave Forecasting

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    Slide 42

    probability for set thresholds (8m)

    Basic EPS Wave Model Products

    Ocean wave Forecasting

    A bit t W EPS

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    Slide 43

    A bit more compact: Wave EPSgram:

    Isles of Scilly, west of Cornwall

    Like normal EPSgram but for

    wind direction, wind speed,

    significant wave height,

    mean wave direction and

    mean period.

    Ocean wave Forecasting

    A bit t W EPS

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    Slide 44

    A bit more compact: Wave EPSgram:

    Each octant is coloured based on the distribution ofthe significant wave height associated with each

    mean direction. The coloured areas correspond to

    the fractional number of ensemble members with

    wave height in the range specified by the coloured ruler.

    Ocean wave Forecasting

    Hs

    EFI plots

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    Slide 45

    EFI plots

    From the new model climate, it is possible to derive indices that

    indicate deviations in probabilistic terms from what is expected.

    Extreme Forecast Index (EFI): 1 means that all EPS are above climate.

    Ocean wave Forecasting

    Since June 2012 : new set of EFI plots

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    Slide 46

    Since June 2012 : new set of EFI plots

    From the new model climate, it is possible to derive indices that

    indicate deviations in probabilistic terms from what is expected.

    Extreme Forecast Index (EFI): -1 means that all EPS are below climate.

    Ocean wave Forecasting

    We are not always dealing with nice

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    Slide 47

    We are not always dealing with nice

    predictable waves:

    Ocean wave Forecasting

    Individual Waves,

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    Slide 48

    Individual Waves,

    Significant Wave Height, Hs,

    Maximum Individual Wave Height, Hmax, and

    Freak Wave

    Hmax Hs= H1/3

    Individual waves

    etc.

    If Hmax> 2.2 Hs freak wave event

    Ocean wave Forecasting

    Wave Model Products: Extreme Waves

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    Slide 49

    Wave Model Products: Extreme Waves

    We have recently introduced a new parameter to estimate the height

    of the highest individual wave (Hmax) one can expect. Its value can be

    derived from the 2d wave spectrum:

    March 3, 2010, 15UTC

    Forecasts fields from Friday 2 March, 2010, 0 UTC

    Hs Expected Hmaxin 3 hour records

    See ECMWF Tech Memo 288 for derivation and discussionhttp://www.ecmwf.int/publications/library/do/references/list/14

    Ocean wave Forecasting

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    Slide 50

    Verification:

    What Do You Compare Against ?

    Using in-situ data (from buoys and platforms).

    Scarce, only few hundreds worldwide

    Using satellite data (altimeters, SAR).

    Assimilated in the model

    Using the model analysis.

    For forecast verification only

    Comparison to other centres.

    Ocean wave Forecasting

    C f f

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    Slide 51

    See also the Wave Forecast Verification Project maintained on behalfof the Expert Team on Waves and Storm Surges of the WMO-IOC

    Joint Technical Commission for Oceanography and Marine

    Meteorology (JCOMM)

    Continued general improvement of model forecasts

    http://www.ecmwf.int/products/forecasts/wavecharts/index.html#verifications

    For example: ECMWF forecast wave height against buoy measurements:

    analysis

    1 day FC

    3 day FC5 day FC

    7 day FC

    In-situ wave observationsR.M.S.E.

    2001 2013

    Note: GTS wave data now also available forKorea, Australia, Italy and Greece.

    http://www.jcomm.info/index.php?option=com_content&task=view&id=131&Itemid=37

    Ocean wave Forecasting

    Future developments: spectral partitioning

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    Slide 52

    New decomposition:

    Future developments: spectral partitioning

    windsea

    Swell 1

    Swell 2

    Swell

    windsea

    total

    Operational:

    Ocean wave Forecasting

    Future developments: unstructured grid

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    Slide 53

    Future developments: unstructured grid

    Ocean wave Forecasting

    Future developments: unstructured grid

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    Slide 54

    Future developments: unstructured grid

    Ocean wave Forecasting

    Future developments: unstructured grid

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    Slide 55

    Future developments: unstructured grid

    Ocean wave Forecasting

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    Slide 56

    Questions/comments ?

    Ocean wave Forecasting

    IFS-WAM-NEMO coupled system.

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    Slide 57

    IFS WAM NEMO coupled system.

    Ocean wave Forecasting

    Ocean Wave Modelling: references

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    Ocean Wave Modelling: references

    The ocean wave modelling at ECMWF is based on the wave

    mode WAM cycle 4(Komen et al. 1994), albeit with frequent

    improvements (Janssen 2007: ECMWF Tech. Memo 529, Bidlot2012, proceeding of the ECMWF Workshop on Ocean Waves,

    25-27 June 2012 ).

    Products from different configurations of WAM are currently

    available at ECMWF.

    http://www.ecmwf.int/publications/manuals/d/gribapi/param/filter=grib1/order=par

    amId/order_type=asc/p=1/table=140/

    Wave model page on the Centres web site:

    http://www.ecmwf.int/products/forecasts/wavecharts/index.html#forecasts

    General documentation:

    http://www.ecmwf.int/research/ifsdocs/CY38r1/index.html