Transcript Slide 1
GungHo!
A new dynamical core for the Unified Model
Nigel Wood, Dynamics Research, UK Met Office
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Outline
Unified Model – where we are now & the
need for change
GungHo!
Some results from each workpackage
Summary
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Current Unified Model
“New Dynamics”
Davies et al. (2005)
Dynamics:
Physics:
• Regular lat/lon grid.
• Spectral band radiation
• Non-hydrostatic dynamics with a
deep atmosphere.
• Diagnostic or prognostic cloud
• Semi-implicit time integration with
3D semi-Lagrangian advection.
• Mass flux convection
• Atmospheric tracer advection
• Mixed-phase ppn
• Boundary layer
• Gravity wave schemes
Coupling possible to non-atmospheric components:
• Land surface model
• Sea ice model
• Ocean model
• Chemistry/aerosol model
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Relative performance
450
400
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Met Office
ECMWF
USA
France
Germany
Japan
Canada
Australia
200
150
20
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2003
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100
2011
3 day Northern Hemisphere surface pressure errors
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Scalability
(17km)
Perfect scaling
T24/TN
24 nodes
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(1 node=32 processors)
Nodes
The finger of blame…
At 25km
resolution,
grid spacing
near poles =
75m
At 10km
reduces to
12m!
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Challenges!
Scalability – remove the poles!
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Challenges!
Scalability – remove the poles!
Speed – cannot sacrifice this for low resolution
moderate core counts
Accuracy – need to maintain standing of model
Space weather 600km deep model…
Danger:
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Everything to everyone…or
Nothing to anyone?
GungHo!
Globally
Uniform
Next
Generation
Highly
Optimized
“Working together harmoniously”
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5 Year Project
“To research, design and develop a new dynamical
core suitable for operational, global and regional,
weather and climate simulation on massively parallel
computers of the size envisaged over the coming 20
years.”
Split into two phases:
2 years “research” (2011-13)
3 years “development” (2013-2016)
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UK Collaboration of GFD,
numerical and computational
scientists
5 FTEs from Met Office
(Dynamics Research; HPC Optimisation; UM
infrastructure)
5 FTEs from NERC
(Bath, Exeter, Imperial, Leeds, Manchester,
Reading, Warwick)
2 FTEs from STFC (Hartree Centre)
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GungHo Issues
How to maintain accuracy of current model on
a GungHo grid?
Principal points about current grid are:
Orthogonality
C-grid
These provide a number of good numerical
properties (Staniforth & Thuburn QJ 2012)
Challenge is to retain those on a nonorthogonal grid
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Some workpackage results
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C-grid dispersion relations
Frequency
Grids
Good dispersion
Exact
Low order
FEM
FD
Minimal grid imprinting
Higher order
FEM Partially mass
lumped FEM
Finite element approach
Focus on: Cubed-sphere;
possibly triangles
Group velocity
No computational modes
Cotter (Imperial), Melvin & Staniforth (MetO)
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Nondimensional wavenumber
Grids
Higher order FEM
Good dispersion
Minimal grid imprinting
No computational modes
U
V
Finite element approach
Focus on: Cubed-sphere;
possibly triangles
Cotter (Imperial), Melvin & Staniforth (MetO)
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Partially mass lumped FEM
Φ
Recent results
Thuburn (Exeter)
Williamson Test Case 5 with 160K d.o.f.s (320x160)
9 m
6 m
FEM Cubed-sphere
FEM Hexagonal
10 m
ENDGame lat-lon
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11 m
ENDGame rotated lat-lon
Are implicit schemes viable?
Weak horizontal scaling for a 3D Helmholtz problem
Baseline resolution =
64x64
Nz=128
Grid cells per
processor = 520K
Algebraic Multi-grid
Cs*Dt/Dx=const=8.4
One side of cubedsphere
Conjugate Gradient
Geometric Multi-grid
Mueller & Scheichl (Bath)
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Hector
What to do if not…
Horizontally Explicit
– Vertically Implicit
(HEVI)
Computational
modes arise from
multistep schemes
Examine range of
Runge-Kutta
Implicit-Explicit
(IMEX) schemes
Weller (Reading) & Lock (Leeds)
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HEVI
Implicit
Test cases
Finite difference
scheme applied on
a variety of grids
Simple solid body
rotation (Williamson
test case 2)
Height and velocity
errors after 5 days
Weller, Thuburn and
Cotter, MWR, 2012
Weller (Reading), Thuburn (Exeter) &
Cotter (Imperial)
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Computational Science
Ham (Imperial), Ford & Pickles (STFC), Riley (Manchester)
Vertical
loop inner
most
Indirect
addressing
for
horizontal
F2003
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Transport
Mass conservation = #1 user
requirement!
Inherent part of mimetic approach
But want to maintain non-split approach
of current SL scheme
OK in horizontal (CFL<1 on uniform
mesh) – see previous simulations
Challenge is in vertical…
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Timetable…
Further development and testing of
horizontal [2013]
Testing of proposals for code
architecture [2013]
Vertical discretization [2013]
3D prototype development [2014-2015]
Operational…by 2020
Long term step change in scalability
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Thank you!
Questions?
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