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Internal wave dynamics in the atmosphere, take-home messages - Lecture 3
Multi angle
Authors : Klein, Rupert (Author of the conference)
CIRM (Publisher )
35Qxx - Equations of mathematical physics and other areas of application
86A35 - Atmospheric physics
35Q86 - PDEs in connection with geophysics
Additional resources :
http://smai.emath.fr/cemracs/cemracs19/resumesPDF/rupertklein.pdf
CIRM (Publisher )
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Abstract :
Earth's atmosphere hosts a rich spectrum of phenomena that involve interactions of a variety of processes across many length and time scales. A systematic approach to analyzing these scale dependent processes is a core task of theoretical meteorology and a prerequi- site to constructing reliable computational models for weather forecasting and climate simulation.
Lecture I The fundamental tools of similarity theory and formal single scale asymptotics will allow us to systematize the large zoo of scale-dependent model equations that one finds in modern textbooks of theoretical meteorology.
Lecture II The meteorological analogue of the incompressible flow equations are the ”anelastic” and ”pseudo-incompressible” models. Here we will learn how the presence of internal gravity waves in the atmosphere implies an asymptotic three-scale problem that renders the formal derivation and justification of these models much more intricate than the classical low Mach number derivation of the incompressible flow equations.
Lecture III The mechanisms by which tropical storms develop into hurricanes and typhoons are still under intense debate despite decades of research. A recent theory for the dynamics of strongly tilted atmospheric vortices will show how asymptotic methods help structuring this scientific debate, and how they offer new angles of scientific attack on the problem.
Lecture * If time permits, I will also summarize some ramifications of the scaling regimes and scaling theories considered in Lectures I-III on the construction of reliable computational methods.
Keywords : atmospheric physics; PDEs in connection with geophysics
MSC Codes : Lecture I The fundamental tools of similarity theory and formal single scale asymptotics will allow us to systematize the large zoo of scale-dependent model equations that one finds in modern textbooks of theoretical meteorology.
Lecture II The meteorological analogue of the incompressible flow equations are the ”anelastic” and ”pseudo-incompressible” models. Here we will learn how the presence of internal gravity waves in the atmosphere implies an asymptotic three-scale problem that renders the formal derivation and justification of these models much more intricate than the classical low Mach number derivation of the incompressible flow equations.
Lecture III The mechanisms by which tropical storms develop into hurricanes and typhoons are still under intense debate despite decades of research. A recent theory for the dynamics of strongly tilted atmospheric vortices will show how asymptotic methods help structuring this scientific debate, and how they offer new angles of scientific attack on the problem.
Lecture * If time permits, I will also summarize some ramifications of the scaling regimes and scaling theories considered in Lectures I-III on the construction of reliable computational methods.
Keywords : atmospheric physics; PDEs in connection with geophysics
35Qxx - Equations of mathematical physics and other areas of application
86A35 - Atmospheric physics
35Q86 - PDEs in connection with geophysics
Additional resources :
http://smai.emath.fr/cemracs/cemracs19/resumesPDF/rupertklein.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 30/08/2019 Conference Date : 18/07/2019 Subseries : Research School arXiv category : Atmospheric and Oceanic Physics ; Fluid Dynamics Mathematical Area(s) : Mathematical Physics ; PDE Format : MP4 (.mp4) - HD Video Time : 01:12:35 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-07-18_Klein_Part3.mp4 
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Information on the Event
Event Title : CEMRACS : Geophysical Fluids, Gravity Flows / CEMRACS : Fluides géophysiques, écoulements gravitairesEvent Organizers : Duran, Arnaud ; Fabrèges, Benoit ; Lafitte, Pauline ; Lagoutière, Frédéric ; Marche, Fabien ; Rousset, Frédéric Dates : 15/07/2019 - 23/08/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2084.html
Citation Data
DOI : 10.24350/CIRM.V.19548303Cite this video as: Klein, Rupert (2019). Internal wave dynamics in the atmosphere, take-home messages - Lecture 3. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19548303 URI : http://dx.doi.org/10.24350/CIRM.V.19548303 |
See Also
- [Multi angle] Asymptotic methods for the study of oceanographic models - Lecture 3: boundary layer methods / Author of the conference Dalibard, Anne-Laure.
- [Multi angle] Asymptotic methods for the study of oceanographic models - Lecture 2: filtering methods / Author of the conference Dalibard, Anne-Laure.
- [Multi angle] Asymptotic methods for the study of oceanographic models - Lecture 1: model hierarchy / Author of the conference Dalibard, Anne-Laure.
- [Multi angle] Modelling shallow water waves - Lecture 3 / Author of the conference Lannes, David.
- [Multi angle] Modelling shallow water waves - Lecture 2 / Author of the conference Lannes, David.
- [Multi angle] Modelling shallow water waves - Lecture 1 / Author of the conference Lannes, David.
- [Multi angle] Internal wave dynamics in the atmosphere - Lecture 2 / Author of the conference Klein, Rupert.
- [Multi angle] Scales in geophysical flows - Lecture 1 / Author of the conference Klein, Rupert.
- [Multi angle] Finite volume methods, dissipative problems and long time behavior - Part 3 : Finite volume methods and long time behavior / Author of the conference Chainais-Hillairet, Claire.
- [Multi angle] Finite volume methods, dissipative problems and long time behavior - Part 2 : Dissipative problems and long time behavior / Author of the conference Chainais-Hillairet, Claire.
- [Multi angle] Finite volume methods, dissipative problems and long time behavior - Part 1 : Introduction to the finite volume method / Author of the conference Chainais-Hillairet, Claire.
- [Multi angle] Nearshore hydrodynamics - Lecture 3 / Author of the conference Bonneton, Philippe.
- [Multi angle] Nearshore hydrodynamics - Lecture 2 / Author of the conference Bonneton, Philippe.
- [Multi angle] Nearshore hydrodynamics - Lecture 1 / Author of the conference Bonneton, Philippe.
- [Multi angle] How to extract information on geophysical mass movements from generated seismic waves? - Lecture 3 / Author of the conference Mangeney, Anne.
- [Multi angle] How to extract information on geophysical mass movements from generated seismic waves? - Lecture 2 / Author of the conference Mangeney, Anne.
- [Multi angle] How to extract information on geophysical mass movements from generated seismic waves? - Lecture 1 / Author of the conference Mangeney, Anne.
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