climate and earth systems models using scientific computing eigil kaas professor in meteorology and...
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Climate and Earth Systems Models using Scientific Computing
Eigil Kaas
Professor in Meteorology and Climate Dynamics
Niels Bohr Institute
University of Copenhagen.
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In front of the ENIAC, April 4, 1950: H.Wexler, J. von Neumann, M. H. Frankel, J. Namias, J. C. Freeman, R. Fjortoft, F. W. Reichelderfer, and J. G. Charney.
The Development of Electronic Computers
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The new DMI-computer: Cray XT5
(in a bigger configuration).
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3-dimensional dynamic Earth system models
Applications:
• Simulating basic processes and changes in the entire Earth system.
• Ocean and land-surface carbon cycle
• Interactive aerosol module
• Interactive chemistry (mostly gas phase)
• Ice sheets
• Biology
• …
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Navier-Stokes equation (Unit mass version of “Newton's second law) expressed in the accelerated coordinate system of the Earth
12
d
dp
dt
VV g F
Equation of state for ideal gases (i.e. no particle density included in ρ). p
RT
v p
dT d dT dpc p c Qdt dt dt dt
The first equation of thermodynamics
Continuity equation for dry aird
d
d
dt
V
Continuity equation for various tracers including water vapour
t
tt
d+S
dt V
t
tq
dqS
dt
non particles
tt
Governing dynamical equations for the atmosphere
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Hybrid sigma theta
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Example of validation of atmospherec models:Precipitation
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SST Errors: ECHAM5/MPI-OM
Systematic errors in sea surface temperature (SST)
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Observed (black line) anthropogenic + natural forcings (red lines), anthropogenic forcings only (blue lines), anthroponegic (- effects of black carbon) + natural forcings (green line).
Hadley Centre simulations with HADGEM1 in ENSEMBLES
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Circulation changes II
CLIMAP SSTs MOD SSTs
topographycontrol
CLIMAP+topo MOD+topo