|
|
Workshop II: Numerical Hierarchies for Climate Modeling
April 12 - 16, 2010
Organizing Committee |
Scientific Overview |
Speaker List
Application/Registration |
Contact Us
Organizing Committee
Francis Giraldo
(Naval Postgraduate School)
Christiane Jablonowski
(University of Michigan, Department of Atmospheric, Oceanic & Space Sciences)
Rupert Klein
(Freie Universität Berlin, Mathematics)
Sebastian Reich
(Universität Potsdam)
Back to Top
Scientific Overview
Covering processes
from the microphysics and turbulence in clouds to planetary motions and the evolution
of the climate, Atmosphere-Ocean flows are characterized by an extremely broad range
of spatio-temporal scales. Since it is, and will be for some time, neither possible
nor interesting to represent this entire scale range in one and the same model,
we encounter a resolution hierarchy of
computational models whose members describe differing ranges of spatio-temporal
scales. This workshop will focus on advanced computational techniques which allow
us to cover a wide range of scales in a single simulation, and which operate reliably
at various resolutions. Of particular interest will be mechanisms for selecting
non-resolved scale parameterizations as a function of grid resolution and for controlling
the interplay of numerical truncation with subgrid scale process representations.
This line of thought
leads us to a hierarchy of numerical balances:
As discussed, inter alia, in workshop on ``Equation Hierarchies'', processes that
can be associated with a specific, relatively narrow scale range generally follow
simplified balanced dynamics described
successfully by related simplified equation sets. Examples are the incompressible
Boussinesq, anelastic or pseudo-incompressible, quasi, semi, or planetary geostrophic,
and the hydrostatic primitive equation models. Correctly reflecting these balances
numerically constitutes a persistent challenge in the construction of computational
models. This challenge is severely compounded in scale-adaptive models which must
incorporate correctly the balances associated with all the scales that they may
dynamically tap into during a simulation.
Closely related is
the parameterization hierarchy: When
deciding, statically or dynamically, to not explicitly represent the spatio-temporal
scales below a certain threshold, we must at the same time incorporate means to
capture the net effects of the non-resolved scales on the resolved ones. Whereas
it is long-standing practice to develop and implement associated subgrid scale parameterizations
in computational models with static resolution, how to do this in models that allow
the user to quite freely choose the resolution or in scale-adaptive models is a
wide open question.
Finally, there is the
hierarchy of conservation laws: We know
that mass and total energy are preserved in continuum mechanical problems. At the
same time, there is a host of derived quantities that are also conserved under particular
simplifying circumstances. Examples are potential temperature, potential vorticity,
enstrophy, helicity, and linear or angular momentum. We will discuss which of these
conservation principles are how important in which modeling context, and how to
realize them computationally.
The above constitutes
the framework of this workshop. To trigger the discussions, we will specifically
concentrate on the following set of issues:
-
Formulation of mathematical equations--continuous or discrete, deterministic or
stochastic--which jointly represent the dynamics AND physics above some given spatio-temporal
scales.
-
Properties of numerical schemes for unstructured grids, structured grids with variable resolution, and dynamically adaptive grids when process resolution becomes marginal.
-
Interplay of non-resolved scale parameterizations with the numerical schemes of dynamical cores. Among others, we will address the competition between numerical truncation and subgrid scale closures, techniques for on-the-fly control of parameterizations in dynamically adaptive models, and the consequences of including stochastic parameterization in the construction of dynamical cores.
-
Coupling of models for different processes, such as atmosphere-ocean; (dry) dynamics-(moist) physics; continuum flows-suspended particles and droplets.
Back to Top
Confirmed Speakers
Alistair Adcroft
(National Oceanographic and Atmospheric Administration (NOAA))
Akio Arakawa
(University of California, Los Angeles (UCLA))
Jörn Behrens
(Max Planck Institute for Meteorology)
Judith Berner
(National Center for Atmospheric Research)
Luca Bonaventura
(Politecnico di Milano)
Dale Durran
(University of Washington)
Jason Frank
(CWI (Center for Mathematics and Computer Science))
Almut Gassmann
(Max-Planck-Institut für Meteorologie)
Francis Giraldo
(Naval Postgraduate School)
Patrick Haertel
(Yale University)
Christiane Jablonowski
(University of Michigan)
Boualem Khouider
(University of Victoria)
Rupert Klein
(Freie Universität Berlin)
Peter Lauritzen
(National Center for Atmospheric Research)
Vincent Legat
(Université Catholique de Louvain)
Charles Meneveau
(Johns Hopkins University)
Matthew Piggott
(Imperial College)
Sebastian Reich
(Universität Potsdam)
Todd Ringler
(Los Alamos National Laboratory)
William Skamarock
(National Center for Atmospheric Research)
Piotr Smolarkiewicz
(National Center for Atmospheric Research)
Peter Spichtinger
(ETH Zürich)
Amik St-Cyr
(National Center for Atmospheric Research)
Mark Taylor
(Sandia National Laboratories)
John Thuburn
(University of Exeter)
Robert Walko
(Duke University)
David Williamson
(National Center for Atmospheric Research)
Back to Top
Application/Registration
An application/registration form is available at:
https://www.ipam.ucla.edu/elements/choose.aspx?pc=clws2
The application part is for people requesting financial support to attend
the workshop. If you don't intend to do this, you may simply register.
We urge you to apply as early as possible. Applications received by February 15, 2010 will receive fullest consideration.
Letters of reference may be sent to the address or email address below. Successful applicants will be notified as soon as funding decisions are made.
We have funding especially to support the attendance of recent PhD's, graduate
students, and researchers in the early stages of their career; however,
mathematicians and scientists at all levels who are interested in this area
are encouraged to apply for funding. Encouraging the careers of women and
minority mathematicians and scientists is an important component of IPAM's
mission and we welcome their applications.
Back to Top
Contact Us:
Institute for Pure and Applied Mathematics (IPAM)
Attn: CLWS2
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Email: 
Website:
http://www.ipam.ucla.edu/programs/clws2/
Back to Top
|