Low-Order Models and Balanced Dynamics
21 - 25 October 1996
The workshop will provide an opportunity for researchers to exchange ideas about low-order models and balanced dynamics via presentations and discussions.
The full timetable is available here.
Participants will include:
O. Bokhove (Woods Hole), R. Camassa (Los Alamos), M.J.P. Cullen (Bracknell), R. Ford (London), A. Mahalov (Tempe), M.E. McIntyre (Cambridge), B. Nicolaenko (Tempe), C. Pires (Paris), I. Roulstone (Bracknell), J. Tribbia (Boulder), T.G. Shepherd (Toronto), J. Vanneste (Toronto), R. Vautard (Paris), T. Warn (Montreal).
We encourage researchers to present new results which they have obtained during the Newton programme.
- In the last decades several concepts from dynamical systems theory (strange attractors, KAM-theorem, Melnikov analysis, etc.) have lead to intriguing arguments about slow manifolds, initialization and balanced dynamics in the context of low-order models. How can we extend these various concepts - attainable for low-order models - to higher-dimensional low-order models, simplified fluid equations that contain the essential gravity-Rossby wave dynamics and, ultimately, the primitive equations of motion?
- The first numerical weather prediction models were balanced models representing large-scale extra-tropical flows.. Balanced models are simplifications of the primitive equations of motion; the most well-known balanced models describe the slow, large-scale Rossby-wave dynamics and do not include any gravity and acoustic waves. In the last decades various balanced models have been formulated based on variational methods, asymptotic approaches and physical insight. Outstanding questions are: What determines the accuracy of balanced models? Conservation laws? Asymptotic behaviour? Phase coherence? How do we construct Hamiltonian balanced models?
Topics of the workshop therefore include, but are not limited to:
- Low-order models: Construction of Hamiltonian low-order models. Dynamical systems theory and the slow manifold, initialization and balanced dynamics. Extensions of dynamical systems theory to higher-dimensional models.
- Balanced dynamics: Construction of Hamiltonian balanced models. Systematic construction of higher-order asymptotic balanced models. Limitations of balanced models? Predictive performance and benchmarks for the accuracy of balanced models in numerical simulations?
The workshop will consist of oral presentations.
For further details contact the workshop organiser: Onno Bokhove, Isaac NewtonInstitute of Mathematical Sciences, 20 Clarkson Road, Cambridge CB3 0EH, UK;