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 IMAGe
Theme-of-the-Year Program (T-O-Y)
The Theme-of-the-Year is a program to focus on
specific areas of research that will benefit from intense
collaborative effort. The topics will be selected by the IMAGe
external advisory panel and will be coordinated by a Visiting
Co-director.
Theme for 2006: Emerging
Mathematical Strategies for Multi-Scale and Stochastic Modeling of
the Atmosphere and Climate
Coordinated by Joe Tribbia and Andrew Majda (Courant).
Goal
Promote new multi-disciplinary
interactions between Atmospheric Science and Applied Mathematics
on Contemporary Problems of Central Importance in Atmospheric
Science and Climate. Several levels of interaction:
- Highlight several important disciplinary problems within
NCAR's mission where applied mathematics can contribute.
- Highlight several new emerging mathematical strategies to
the Atmospheric Science community which can contribute
significantly to 1.
- Make aware and begin to train new groups of young
scientists (Ph.D. students, post docs, junior faculty) in both
disciplines for the emerging multi-disciplinary opportunities
in 1.and 2.
- Specifically, strengthen and nurture the multidisciplinary
interaction between disciplinary NCAR scientists and both
applied mathematicians at the Courant Institute as well as the
interdisciplinary scientists in the new Climate, Atmosphere,
Ocean Sciences Department at the Courant Institute of
Mathematical Sciences.
Format
Four interdisciplinary one-week workshops
during Fall,Spring 2005-2006 with both a tutorial
research/expository component for two days and a contemporary
research component for the last three days. Both the proposed
format and the topics for the four one-week workshops are
described below including detailed science topics as well as
suggested senior and mid-career lecturers. A. Majda as well as
some Courant students and post docs will stay at NCAR for an
additional week after each workshop to follow up some of the
multi-disciplinary opportunities emerging from the workshop.
Workshop I. Multi-scale
Interactions in the Tropics to Midlatitudes: Mathematical Theory,
Observations and Numerical Models
Dates: 26-30
September 2005
Venue: NCAR Mesa Lab, Main Seminar Room
Topics:
Atmospheric Science:
- Multi-scale phenomena in Tropics: intraseasonal
oscillation, cloud superclusters, clusters, etc.
- Tropical midlatitude connections
- Hurricane development
- Current capablity of GCM's to capture 1-3.
Applied Math:
- Systematics multi-scale asymptotic methods for complex
PDE's of tropics
- Analysis of simplified models emerging from 1 and
application to problems in 1-4, including observations and
numerics
- Balanced wave dynamics for equatorial wave guide, moisture,
hurricanes, etc.
Workshop II. Multi-Scale
Interactions in a GCM grid box: Mathematical Theory, Numerics, and
Parameterization
Dates: 31 October - 4 November
2005
Venue: NCAR Mesa Lab, Main Seminar Room
Topics:
Atmospheric Science:
- Convection, Orography Moisture, Gravity Waves
- Paramterization and Numerics for GCM's for weather
prediction and climate regimes
Applied Math:
- Multi-scale asymptotic modeling and systematic numerics and
parameterizations
- Simplified model problems
- High resolution numerics
Workshop III. Stochastic
and Statistical Parameterization of Unresolved Features in the
Atmosphere and Upper Ocean
Dates: 27 February -
3 March 2006
Venue: NCAR Mesa Lab, Main Seminar Room
Topics:
Atmospheric Science:
- Stochastic and/or statistical parameterization of
convection, orography, surface fluxes, etc.
- Low order stochastic models for low frequency variablity
- Pinning parameters in parameterization through contemporary
data assimilation strategies
Applied Math:
- Systematic strategies for stochastic mode reduction
- Novel coarse gaining strategies using coupled birth death
processes
- Bayesian hierarchical statistical models for
parameterizations
Workshop IV. Multi-Scale
Processes for Low Frequency Variability, Climate, and Climate
Change Response
Dates: 15 - 19 May 2006
Venue: NCAR Foothills Lab Building 2, Main Seminar Room
Topics:
Atmospheric Science:
- Low frequency atmospheric variabilty and seasonal cycle
- Coupled GCM's and hierarchy of simplified climate models
- Observations for climate
Applied Math:
- Design of optimal bases for low order models
- Theories for fluctuation-dissipation relations
- Analysis of stochastic and deterministic coupled models
Theme for 2005: Data Assimilation
in the Geosciences
IMAGe is an active participant in the
SAMSI
2004-05 Program on Data Assimilation for Geophysical Systems,
particularly in the
January
2005 workshop. There will be a DA working group. We have also
hired Shree Khare as an NCAR/SAMSI joint postdoc.
IPAM Survey workshop in February.
Undergraduate summer program.
The IMAGe Summer School
and Workshop in June was a collaborative effort with SAMSI.
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