raffaele ferrari - climawave turbulence dimes = diapycnal and isopycnal mixing experiment in the...
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Data-Driven Ocean ModelingRaffaele Ferrari
Earth, Atmospheric and Planetary Sciences, MITCaltech, March 29 2018
Allen Center Allen
Ocean Modeling ChallengeOcean circulation is very turbulent: parametrization problem
Sub-Grid-Scale Physics
Neutral density (kg m3) section in the Pacific Ocean (WOCE, P16)
boundary layer turbulence
geostrophic turbulence
wave turbulence
Du
Dt+
1
⇢0rp� bz�r · (⌫ru) = �r · u0u0
| {z }Reynolds stresses
Db
Dt�r · (rb) = �r · u0b0| {z }
Reynolds fluxes<latexit sha1_base64="ZP1J9GAvi6sFSdiNaC4LEpA4xaA=">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</latexit><latexit sha1_base64="ZP1J9GAvi6sFSdiNaC4LEpA4xaA=">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</latexit><latexit sha1_base64="ZP1J9GAvi6sFSdiNaC4LEpA4xaA=">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</latexit><latexit sha1_base64="ZP1J9GAvi6sFSdiNaC4LEpA4xaA=">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</latexit>
Boundary Layer BiasesAssessment of Southern Ocean mixed-layer depths in CMIP5 models
Sallée et al. 2013
Boundary Layer Biases
Richter 2015
Model bias is largest in regions where turbulence is strongest
Present day approach to reducing model biases
state estimation
parameterization
Process studies + LES = parameterizations
Geostrophic turbulenceDiapycnal and Isopycnal Mixing Experiment in the Southern Ocean
Observations
“LES” modelNew SGS parameterization
Tulloch, Ferrari et al. 2014; Bates, Marshall and Ferrari 2016
S = S(KH , f, slope)<latexit sha1_base64="Do7aFTNBP6rP8BLAPLhLhDQritY=">AAACDnicbZDLSsNAFIYnXmu9RV26GSyFCqUkIuhGKLopuKloL9CEMJlO2qGTTJiZiCXkCdz4Km5cKOLWtTvfxmmbhbb+MPDxn3M4c34/ZlQqy/o2lpZXVtfWCxvFza3tnV1zb78teSIwaWHOuOj6SBJGI9JSVDHSjQVBoc9Ixx9dTeqdeyIk5dGdGsfEDdEgogHFSGnLM8up4wfwNoMXMKfKtdeoBlVn6POHVDIek+zYM0tWzZoKLoKdQwnkanrml9PnOAlJpDBDUvZsK1ZuioSimJGs6CSSxAiP0ID0NEYoJNJNp+dksKydPgy40C9ScOr+nkhRKOU49HVniNRQztcm5n+1XqKCczelUZwoEuHZoiBhUHE4yQb2qSBYsbEGhAXVf4V4iATCSidY1CHY8ycvQvukZls1++a0VL/M4yiAQ3AEKsAGZ6AOGqAJWgCDR/AMXsGb8WS8GO/Gx6x1ychnDsAfGZ8/Fgya4Q==</latexit><latexit sha1_base64="Do7aFTNBP6rP8BLAPLhLhDQritY=">AAACDnicbZDLSsNAFIYnXmu9RV26GSyFCqUkIuhGKLopuKloL9CEMJlO2qGTTJiZiCXkCdz4Km5cKOLWtTvfxmmbhbb+MPDxn3M4c34/ZlQqy/o2lpZXVtfWCxvFza3tnV1zb78teSIwaWHOuOj6SBJGI9JSVDHSjQVBoc9Ixx9dTeqdeyIk5dGdGsfEDdEgogHFSGnLM8up4wfwNoMXMKfKtdeoBlVn6POHVDIek+zYM0tWzZoKLoKdQwnkanrml9PnOAlJpDBDUvZsK1ZuioSimJGs6CSSxAiP0ID0NEYoJNJNp+dksKydPgy40C9ScOr+nkhRKOU49HVniNRQztcm5n+1XqKCczelUZwoEuHZoiBhUHE4yQb2qSBYsbEGhAXVf4V4iATCSidY1CHY8ycvQvukZls1++a0VL/M4yiAQ3AEKsAGZ6AOGqAJWgCDR/AMXsGb8WS8GO/Gx6x1ychnDsAfGZ8/Fgya4Q==</latexit><latexit sha1_base64="Do7aFTNBP6rP8BLAPLhLhDQritY=">AAACDnicbZDLSsNAFIYnXmu9RV26GSyFCqUkIuhGKLopuKloL9CEMJlO2qGTTJiZiCXkCdz4Km5cKOLWtTvfxmmbhbb+MPDxn3M4c34/ZlQqy/o2lpZXVtfWCxvFza3tnV1zb78teSIwaWHOuOj6SBJGI9JSVDHSjQVBoc9Ixx9dTeqdeyIk5dGdGsfEDdEgogHFSGnLM8up4wfwNoMXMKfKtdeoBlVn6POHVDIek+zYM0tWzZoKLoKdQwnkanrml9PnOAlJpDBDUvZsK1ZuioSimJGs6CSSxAiP0ID0NEYoJNJNp+dksKydPgy40C9ScOr+nkhRKOU49HVniNRQztcm5n+1XqKCczelUZwoEuHZoiBhUHE4yQb2qSBYsbEGhAXVf4V4iATCSidY1CHY8ycvQvukZls1++a0VL/M4yiAQ3AEKsAGZ6AOGqAJWgCDR/AMXsGb8WS8GO/Gx6x1ychnDsAfGZ8/Fgya4Q==</latexit><latexit sha1_base64="Do7aFTNBP6rP8BLAPLhLhDQritY=">AAACDnicbZDLSsNAFIYnXmu9RV26GSyFCqUkIuhGKLopuKloL9CEMJlO2qGTTJiZiCXkCdz4Km5cKOLWtTvfxmmbhbb+MPDxn3M4c34/ZlQqy/o2lpZXVtfWCxvFza3tnV1zb78teSIwaWHOuOj6SBJGI9JSVDHSjQVBoc9Ixx9dTeqdeyIk5dGdGsfEDdEgogHFSGnLM8up4wfwNoMXMKfKtdeoBlVn6POHVDIek+zYM0tWzZoKLoKdQwnkanrml9PnOAlJpDBDUvZsK1ZuioSimJGs6CSSxAiP0ID0NEYoJNJNp+dksKydPgy40C9ScOr+nkhRKOU49HVniNRQztcm5n+1XqKCczelUZwoEuHZoiBhUHE4yQb2qSBYsbEGhAXVf4V4iATCSidY1CHY8ycvQvukZls1++a0VL/M4yiAQ3AEKsAGZ6AOGqAJWgCDR/AMXsGb8WS8GO/Gx6x1ychnDsAfGZ8/Fgya4Q==</latexit>
Wave turbulenceDIMES = Diapycnal and Isopycnal Mixing Experiment in the Southern Ocean
Observations
“LES” model
Mashayek, Ferrari et al., 2017
Wave turbulenceDIMES = Diapycnal and Isopycnal Mixing Experiment in the Southern Ocean
Observations
New SGS parameterization
N2 [1/s2] #10-61 2 3
Heightabov
ebott
om
[m]
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0 [W/kg]10-10 10-9 10-8
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5; [m2/s3]10-5 10-4 10-3
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N2 [1/s2] #10-61 2 3
Heightabov
ebott
om
[m]
500
1000
1500
2000
0 [W/kg]10-10 10-9 10-8
500
1000
1500
2000
5; [m2/s3]10-5 10-4 10-3
500
1000
1500
2000
F = u0b0 = �rb<latexit sha1_base64="VqHkXDu1UI3mPXM1RMkfW0M9sMY=">AAACIHicbVDLSgMxFM34rPU16tJNsEjdWGZEqJtCURCXFewDOqXcpBkNzWSGJCOUYT7Fjb/ixoUiutOvMX0stHog5HDOvTe5hySCa+N5n87C4tLyymphrbi+sbm17e7stnScKsqaNBax6hDQTHDJmoYbwTqJYhARwdpkeDH22/dMaR7LGzNKWC+CW8lDTsFYqe9Ws4CE+DLHNRzEtnA8J5toaTkn5byGj3EwhCQBHEggwl4EFCZ9t+RVvAnwX+LPSAnN0Oi7H8EgpmnEpKECtO76XmJ6GSjDqWB5MUg1S4AO4ZZ1LZUQMd3LJgvm+NAqAxzGyh5p8ET92ZFBpPUoIrYyAnOn572x+J/XTU141su4TFLDJJ0+FKYCmxiP08IDrhg1YmQJUMXtXzG9AwXU2EyLNgR/fuW/pHVS8b2Kf31aqp/P4iigfXSAjpCPqqiOrlADNRFFD+gJvaBX59F5dt6c92npgjPr2UO/4Hx9AxRUoak=</latexit><latexit sha1_base64="VqHkXDu1UI3mPXM1RMkfW0M9sMY=">AAACIHicbVDLSgMxFM34rPU16tJNsEjdWGZEqJtCURCXFewDOqXcpBkNzWSGJCOUYT7Fjb/ixoUiutOvMX0stHog5HDOvTe5hySCa+N5n87C4tLyymphrbi+sbm17e7stnScKsqaNBax6hDQTHDJmoYbwTqJYhARwdpkeDH22/dMaR7LGzNKWC+CW8lDTsFYqe9Ws4CE+DLHNRzEtnA8J5toaTkn5byGj3EwhCQBHEggwl4EFCZ9t+RVvAnwX+LPSAnN0Oi7H8EgpmnEpKECtO76XmJ6GSjDqWB5MUg1S4AO4ZZ1LZUQMd3LJgvm+NAqAxzGyh5p8ET92ZFBpPUoIrYyAnOn572x+J/XTU141su4TFLDJJ0+FKYCmxiP08IDrhg1YmQJUMXtXzG9AwXU2EyLNgR/fuW/pHVS8b2Kf31aqp/P4iigfXSAjpCPqqiOrlADNRFFD+gJvaBX59F5dt6c92npgjPr2UO/4Hx9AxRUoak=</latexit><latexit sha1_base64="VqHkXDu1UI3mPXM1RMkfW0M9sMY=">AAACIHicbVDLSgMxFM34rPU16tJNsEjdWGZEqJtCURCXFewDOqXcpBkNzWSGJCOUYT7Fjb/ixoUiutOvMX0stHog5HDOvTe5hySCa+N5n87C4tLyymphrbi+sbm17e7stnScKsqaNBax6hDQTHDJmoYbwTqJYhARwdpkeDH22/dMaR7LGzNKWC+CW8lDTsFYqe9Ws4CE+DLHNRzEtnA8J5toaTkn5byGj3EwhCQBHEggwl4EFCZ9t+RVvAnwX+LPSAnN0Oi7H8EgpmnEpKECtO76XmJ6GSjDqWB5MUg1S4AO4ZZ1LZUQMd3LJgvm+NAqAxzGyh5p8ET92ZFBpPUoIrYyAnOn572x+J/XTU141su4TFLDJJ0+FKYCmxiP08IDrhg1YmQJUMXtXzG9AwXU2EyLNgR/fuW/pHVS8b2Kf31aqp/P4iigfXSAjpCPqqiOrlADNRFFD+gJvaBX59F5dt6c92npgjPr2UO/4Hx9AxRUoak=</latexit><latexit sha1_base64="VqHkXDu1UI3mPXM1RMkfW0M9sMY=">AAACIHicbVDLSgMxFM34rPU16tJNsEjdWGZEqJtCURCXFewDOqXcpBkNzWSGJCOUYT7Fjb/ixoUiutOvMX0stHog5HDOvTe5hySCa+N5n87C4tLyymphrbi+sbm17e7stnScKsqaNBax6hDQTHDJmoYbwTqJYhARwdpkeDH22/dMaR7LGzNKWC+CW8lDTsFYqe9Ws4CE+DLHNRzEtnA8J5toaTkn5byGj3EwhCQBHEggwl4EFCZ9t+RVvAnwX+LPSAnN0Oi7H8EgpmnEpKECtO76XmJ6GSjDqWB5MUg1S4AO4ZZ1LZUQMd3LJgvm+NAqAxzGyh5p8ET92ZFBpPUoIrYyAnOn572x+J/XTU141su4TFLDJJ0+FKYCmxiP08IDrhg1YmQJUMXtXzG9AwXU2EyLNgR/fuW/pHVS8b2Kf31aqp/P4iigfXSAjpCPqqiOrlADNRFFD+gJvaBX59F5dt6c92npgjPr2UO/4Hx9AxRUoak=</latexit>
Mashayek, Ferrari et al., 2017
Boundary layer turbulenceClimate Process team on Eddy Mixed Layer Interactions
“LES” model with no frontu (m/s)
u (m/s)
“LES” model with lateral front
New SGS parameterization
S = µ(z)h2
|f | z⇥rb<latexit sha1_base64="3zh1xG3NKZuIu65D5iMa8JYgncM=">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</latexit><latexit sha1_base64="3zh1xG3NKZuIu65D5iMa8JYgncM=">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</latexit><latexit sha1_base64="3zh1xG3NKZuIu65D5iMa8JYgncM=">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</latexit><latexit sha1_base64="3zh1xG3NKZuIu65D5iMa8JYgncM=">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</latexit>
Fox-Kemper, Ferrari and Hallberg 2008, Taylor and Ferrari 2010
Boundary layer turbulenceCLIMODE Experiment
Observations
“LES” model
Tomas, Joyce, Taylor and Ferrari et al., 2013
Observations + global model = state estimation
Ocean state estimation
FloatsShip profiles
Altimeters
Gravity
MIT Ocean Model and Its
Constrain global ocean circulation by assimilating in situ and remote data in global ocean solutions
A new approach to reducing model biases
Schneider et al., 2017
Moving forward
1. Develop unified SGS process models of boundary layer turbulence in the atmosphere and ocean
2. Develop global atmosphere and ocean model with horizontal resolution of a few kilometers and with SGS models that learn from the fly from nested LES and global observations through scalable algorithms for DA/ML
3. Couple the atmosphere and ocean models
Improve the representation of SGS physics in climate models