A 3-D Finite-Volume Nonhydrostatic Icosahedral Model (NIM) Jin Lee
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Transcript of A 3-D Finite-Volume Nonhydrostatic Icosahedral Model (NIM) Jin Lee
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A 3-D Finite-VolumeNonhydrostatic Icosahedral Model (NIM)
Jin Lee
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Earth System Research Laboratory (ESRL)
Aeronomy Lab.Climate Diagnostic center
Climate Monitoring and Diagnostic LabEnvironmental Technology Lab
Forecast Systems Lab
Chemical Sciences DivGlobal Monitoring DivPhysical Sciences DivGlobal Systems Div
GFDL,NSSL,ARL,AOML,GLERL,PMEL
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Earth System Research Laboratory(ESRL)
Aeronomy Lab.Climate Diagnostic center
Climate Monitoring and Diagnostic LabEnvironmental Technology Lab
Forecast Systems Lab
Chemical Sciences DivGlobal Monitoring DivPhysical Sciences DivGlobal Systems Div
Modeling goal: to develop a non-hydrostatic icosahedral global model for weather and climate applications
GFDL,NSSL,ARL,AOML,GLERL,PMEL
Director, Dr. A.E. (Sandy) MacDonald
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ESRL finite-volume Icos- models (FIM/NIM)
FIM (flow-following finite- volume Icosahedral model):
Target resolution ≥ 10 km A hydrostatic model consists of 2-D
finite-volume SWM coupled with hybrid σ-θ vertical solver.
A hydrostatic model for NCEP global model ensemble.
NIM (Nonhydrostatic Icosahedral model):
Target resolution : O(1 km) and beyond Extension of 2-D finite-volume integration
into 3-D integration on control volume defined on the height coordinate.
Use the latest GPU technology to speed up high-resolution model calculations.
ESMF
19 Apr 2011 4Global Modeling Program Review
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NOAA Earth System Research Laboratory - Boulder, Colorado Page 5
• Finite-volume Integrations on Local Coordinate
Novel features of FIM/NIM:
x
y
z
S
P
ikl ,
ikn ,
2-D f.-v. operator carried out on straight lines, rather than along the 3-D curved lines on the sphere
Lee and MacDonald (MWR, 2009): A Finite-Volume Icosahedral Shallow Water Model on Local Coordinate.
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NOAA Earth System Research Laboratory - Boulder, Colorado Page 6
• Finite-volume Integrations on Local Coordinate• Conservative and Monotonic Adams-Bashforth 3rd-order FCT Scheme - - Lee, Bleck, and MacDonald (2010, JCP): A Multistep Flux-Corrected Transport Scheme.Lee, Bleck, and MacDonald (2010, JCP): A Multistep Flux-Corrected Transport Scheme.
.
Novel features of FIM/NIM:
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NOAA Earth System Research Laboratory - Boulder, Colorado Page 7
• Finite-volume Integrations on Local Coordinate• Conservative and Monotonic Adams-Bashforth 3rd-order FCT Scheme• FIM: Hybrid σ-θ Coordinate w/ GFS Physics
- Bleck, Benjamin, Lee and MacDonald (2010, MWR): On the Use of an Arbitrary Lagrangian-Eulerian Vertical Coordinate in Global Atmospheric Modeling.
.
Novel features of FIM/NIM:
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FIM forecasts initialized with GSI initial condition at 00 and 12 UTC
(comparisons of FIM and GFS 500 mb ACC)
• Interpolate GFS initial data to FIM model grid.
• Perform hydrostatic initialization.
• Perform 7-day fcst with dx~30km.
• Same initial condition, terrain & sfc parameters, physics package runing at similar model resolutions (dx~30 km)
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Main dropouts from GFS in NHImprovement over GFS from FIM using same initial conditions.
120h NH 500 hPa fcsts -- Nov 2009 – Sept 2010
GFS better
FIM better
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NOAA Earth System Research Laboratory - Boulder, Colorado Page 12
• Finite-volume Integrations on Local Coordinate• Conservative and Monotonic Adams-Bashforth 3rd-order FCT Scheme• FIM: Hybrid σ-θ Coordinate w/ GFS Physics• Efficient Indirect Addressing Scheme on Irregular Grid - - MacDonald, Middlecoff, Henderson, and Lee (2010, IJHPC) : A General Method for MacDonald, Middlecoff, Henderson, and Lee (2010, IJHPC) : A General Method for
Modeling on Irregular Grids.Modeling on Irregular Grids..
Novel features of FIM/NIM:
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NOAA Earth System Research Laboratory - Boulder, Colorado Page 13
• Finite-volume Integrations on Local Coordinate• Conservative and Monotonic Adams-Bashforth 3rd-order FCT Scheme• FIM: Hybrid σ-θ Coordinate w/ GFS Physics• Efficient Indirect Addressing Scheme on Irregular Grid• Grid Optimization for Efficiency and Accuracy - Wang and Lee (2011, SIAM): Geometric Properties of Icosahedral-Hexagonal Grid on Sphere.
Novel features of FIM/NIM:
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SBiR
SPDN
MGCL
Comparisons of Icosa-grids
Uniformity Regularity
SBiR 1.195 1.476
MBiR 1.175 1.405
SGCL 1.476 1.194
MGCL 1.446 1.135
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STD
SPN MGC
Williamson etal.(1992) Case V: Zonal flow over Mountain
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SBiR (G8/dt=45 sec)
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MGCL (G8/dt=36 sec, blow up with dt=45)
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Geostrophic adjustment of finite-volume Geostrophic adjustment of finite-volume A-grid model in inviscid and viscid flowsA-grid model in inviscid and viscid flows
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Geostrophic adjustment ExperimentGeostrophic adjustment Experiment : Finite-volume A-Grid SWM: Finite-volume A-Grid SWM
Inviscide model simulation on hexagonal A-grid (dx~60 km)
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Geostrophic adjustment ExperimentGeostrophic adjustment Experiment : Finite-volume A-Grid SWM: Finite-volume A-Grid SWM
Inviscide model simulation on hexagonal A-grid (dx~60 km)
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Geostrophic adjustment ExperimentGeostrophic adjustment Experiment : Finite-volume A-Grid SWM: Finite-volume A-Grid SWM
Inviscide model simulation on hexagonal A-grid (dx~60 km)
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Geostrophic adjustment ExperimentGeostrophic adjustment Experiment : Finite-volume : Finite-volume AA-Grid Model-Grid Model
Inviscide model simulation on hexagonal A-grid (dx~60 km)( repeat same experiment)
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typical dissipation operator (small coefficient)
2
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Geostrophic adjustment ExperimentGeostrophic adjustment Experiment : Finite-volume : Finite-volume AA-Grid Model-Grid Model
+ typical dissipation operator (small coefficient)
2
Inviscide model simulation on hexagonal A-grid (dx~60 km)
23
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Geostrophic adjustment ExperimentGeostrophic adjustment Experiment : Finite-volume : Finite-volume AA-Grid Model-Grid Model
+ typical dissipation operator (small coefficient)
2
Inviscide model simulation on hexagonal A-grid (dx~60 km)
24
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The 2nd-order C-grid scheme over-amplifies mountain waves. Reinecke and Durran (MWR,2009)
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NOAA Earth System Research Laboratory - Boulder, Colorado Page 26
• Finite-volume Integrations on Local Coordinate• Conservative and Monotonic Adams-Bashforth 3rd-order FCT Scheme• FIM: Hybrid σ-θ Coordinate w/ GFS Physics• Efficient Indirect Addressing Scheme on Irregular Grid• Grid Optimization for Efficiency and Accuracy
• Novel Features of NIM:
-Three-dimensional finite-volume integration.
Novel features of FIM/NIM:
ikl ,
ikn ,
3-D control volume box
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NOAA Earth System Research Laboratory - Boulder, Colorado Page 27
• Finite-volume Integrations on Local Coordinate• Conservative and Monotonic Adams-Bashforth 3rd-order FCT Scheme• FIM: Hybrid σ-θ Coordinate w/ GFS Physics• Efficient Indirect Addressing Scheme on Irregular Grid• Grid Optimization for Efficiency and Accuracy
• Novel Features of NIM:
-Three-dimensional finite-volume integration.
- Conservative flux formulation on height coordinate.
Novel features of FIM/NIM:
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NOAA Earth System Research Laboratory - Boulder, Colorado Page 28
3-D control volume box
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tzyxztzyxwvuWVU
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Flux form GEs on 3-D control volume on height coord.
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NOAA Earth System Research Laboratory - Boulder, Colorado Page 29
• Finite-volume Integrations on Local Coordinate• Conservative and Monotonic Adams-Bashforth 3rd-order FCT Scheme• FIM: Hybrid σ-θ Coordinate w/ GFS Physics• Efficient Indirect Addressing Scheme on Irregular Grid• Grid Optimization for Efficiency and Accuracy
• Novel Features of NIM:
-Three-dimensional finite-volume integration.
- Conservative flux formulation on z-coordiante.
- 3-D volume Integration to calculate PGF.
Novel features of FIM/NIM:
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NOAA Earth System Research Laboratory - Boulder, Colorado Page 30
• Finite-volume Integrations on Local Coordinate• Conservative and Monotonic Adams-Bashforth 3rd-order FCT Scheme• FIM: Hybrid σ-θ Coordinate w/ GFS Physics• Efficient Indirect Addressing Scheme on Irregular Grid• Grid Optimization for Efficiency and Accuracy
• Novel Features of NIM:
-Three-dimensional finite-volume integration.
- Conservative flux formulation on z-coordiante.
- 3-D volume Integration to calculate PGF.
- Horizontal explicit, semi-implicit tri-diagonal solver
for vertically propagating acoustic waves.
Novel features of FIM/NIM:
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NOAA Earth System Research Laboratory - Boulder, Colorado Page 31
• Finite-volume Integrations on Local Coordinate• Conservative and Monotonic Adams-Bashforth 3rd-order FCT Scheme• FIM: Hybrid σ-θ Coordinate w/ GFS Physics• Efficient Indirect Addressing Scheme on Irregular Grid• Grid Optimization for Efficiency and Accuracy
• Novel Features of NIM:
-Three-dimensional finite-volume integration.
- Conservative flux formulation on z-coordiante.
- 3-D volume Integration to calculate PGF.
- Horizontal explicit, semi-implicit tri-diag solver
for vertically propagating acoustic waves.
- Runge-Kutta (RK4) for time discretization
Novel features of FIM/NIM:
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NOAA Earth System Research Laboratory - Boulder, Colorado Page 32
• Finite-volume Integrations on Local Coordinate• Conservative and Monotonic Adams-Bashforth 3rd-order FCT Scheme• FIM: Hybrid σ-θ Coordinate w/ GFS Physics• Efficient Indirect Addressing Scheme on Irregular Grid• Grid Optimization for Efficiency and Accuracy
• Novel Features of NIM:
-Three-dimensional finite-volume integration.
- Conservative flux formulation on z-coordiante.
- 3-D volume Integration to calculate PGF.
- Horizontal explicit, semi-implicit tri-diag solver
for vertically propagating acoustic waves.
- Runge-Kutta (RK4) for time discretization
- Fast GPUs to speed up calculation.
Novel features of FIM/NIM:
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NIM 2-D test cases:(in 3-D model grid)
heat forced circulation,warm bubble,
density current (cold bubble),mountain waves,
Internal gravity waves (icos-grid)multi-months aqua-planet simulations (icos-grid)
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X
Y
.0)( yf
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mzx
mHCo
10
ground theabove m 260at centered
,125/2'
Comparisons of vertical solvers with the warm bubble simulation.
A rising thermal in an isentropic atmosphere.
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t= 0.0 min t= 0.0 min Explicit .vs. Implicit tri-diag solvers
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t= 14.0 min t= 14.0 min Explicit .vs. Implicit tri-diag solvers
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NIM density current simulation.
Negative buoyancy to initiate density current.
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2-D Mountain Waves (DCMIP case 2-1 with h=100 m, dx=500m, a=7km)
(Schar etal, 2002, MWR, Klemp 2011, MWR)
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Internal Gravity Waves (DCMIP case 3-1, 3-D simulation on icosahedral grid)
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Same as that of FIM
To be used for medium-range weather forecast
Global/Regional Integrated Modeling system (YSU, Korea)
Reference : Hong et al. (APJAS 2012, in review)
Climate research high-resolution run
* In Namelist, Physics= ‘gfs’ or ‘grims’
Physics packagesPhysics packages
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NIM 800-day aqua-planet simulationMODEL NIM/GRIMs
SST Zonally uniform, max. temp. on equator
Resolution G5 (∆x ~ 240 km)
Vertical 32 Stretch layers
Model top 25 km
∆t 20 min
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Preliminary ResultsPreliminary Results
Zonal Mean SSTZonal Mean SST
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Hoskins et al. (1999), Tellus NIM
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Mean Zonal Wind (3-month)Mean Zonal Wind (3-month)
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perturbation pressure
meridional wind
vertical velocity
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MSLP + precip
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MSLP + precip
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MSLP + precip
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MSLP + precip
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MSLP + precip
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MSLP + precip
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MSLP + precip
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MSLP + precip
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MSLP + precip
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MSLP + precip
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NIM aqua-planet simulationglobal precipitation map NIM precipitation
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Microphysics sensitivities on model resolutions Microphysics sensitivities on model resolutions
• Microphysics : Reduction of precipitation in WSM3
• Resolution : G7 has more precipitation
• Pick : Large on the equator : Small on mid latitudes
G7
G6
G5
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Final remarks and future outlook
•A 3-D f.-v. Nonhydrostatic Icosahedral Model (NIM) dycore has been developed and tested w/ mesoscale benchmarks
•Incorporated GFS and GRIMs physics packages into NIM dycore.
•Implemented NIM on GPU and CPU clusters.
•Aqua-planet simulations to test dynamics/physics interfaces.
•Test NIM for medium-range NWP at 30-km resolution initialized w/ GSI.
•Future NIM applications for hurricane track/intensity forecasts and intra-seasonal predictions.