Aplikace Lagrangeových koherentních struktur na stratosférickou zimní polární cirkulaci
Thesis title in Czech: | Aplikace Lagrangeových koherentních struktur na stratosférickou zimní polární cirkulaci |
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Thesis title in English: | Application of Lagrangian coherent structures to the stratospheric winter polar circulation |
Key words: | Lagrangeovy koherentní struktury|LCSs|Polární vír|Stratosféra |
English key words: | Lagrangian coherent structures|LCSs|Polar vortex|Stratosphere |
Academic year of topic announcement: | 2023/2024 |
Thesis type: | Bachelor's thesis |
Thesis language: | |
Department: | Department of Atmospheric Physics (32-KFA) |
Supervisor: | prof. RNDr. Petr Pišoft, Ph.D. |
Author: | Kateřina Rezková - assigned and confirmed by the Study Dept. |
Date of registration: | 23.10.2023 |
Date of assignment: | 23.10.2023 |
Confirmed by Study dept. on: | 06.11.2023 |
Advisors: | RNDr. Petr Šácha, Ph.D. |
doc. Mgr. Jiří Mikšovský, Ph.D. | |
Guidelines |
In the thesis, the theory of Lagrangian coherent structures (LCSs) will be introduced, possible constructions of LCSs applications will be described and finally LCSs will be analyzed on atmospheric data. Specifically, stratospheric data will be studied in order to characterize the winter polar circulation and its changes. |
References |
McCall Jr, A.S., 2018: Lagrangian coherent structures: a climatological look, in: UVM College of Arts and Sciences College Honors Theses, vol. 48
Curbelo, J., Mechoso, C.R., Mancho, A.M. et al., 2019: Lagrangian study of the final warming in the southern stratosphere during 2002: Part I. The vortex splitting at upper levels, Clim. Dyn., 53, 2779–2792, https://doi.org/10.1007/s00382-019-04832-y Curbelo, J., Mechoso, C.R., Mancho, A.M. et al., 2019: Lagrangian study of the final warming in the southern stratosphere during 2002: Part II. 3D structure, Clim. Dyn., 53, 1277–1286, https://doi.org/10.1007/s00382-019-04833-x Haller, G., 2015: Lagrangian coherent structures, Annu. Rev. Fluid Mech. 47 (1), 137–162, http://dx.doi.org/10.1146/annurev-fluid-010313-141322. Haller, G., 2023: Transport Barriers and Coherent Structures in Flow Data: Advective, Diffusive, Stochastic and Active Methods, Cambridge University Press, pp. 427, https://doi.org/10.1017/9781009225199 Nolan, P.J., Serra, M. & Ross, S.D., 2020: Finite-time Lyapunov exponents in the instantaneous limit and material transport, Nonlinear Dyn., 100, 3825–3852, https://doi.org/10.1007/s11071-020-05713-4 Serra, M., P. Sathe, F. Beron-Vera, and G. Haller, 2017: Uncovering the Edge of the Polar Vortex. J. Atmos. Sci., 74, 3871–3885, https://doi.org/10.1175/JAS-D-17-0052.1 Shadden, S.C., Lekien, F., Marsden, J.E., 2005: Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows, Phys. D Nonlinear Phenom, 212(3), 271–304, https://doi.org/10.1016/j.physd.2005.10.007 |
Preliminary scope of work |
Lagrangian Coherent Structures (LCSs) play a pivotal role in understanding fluid flows and have considerable potential for atmospheric applications. This bachelor thesis delves into the theory of LCSs, elucidating its potential constructions and applications in atmospheric studies. A distinctive aspect of the study is its focus on analyzing stratospheric data to detail the winter polar circulation and its changes. The work aims to utilize the capabilities of LCSs to characterize these changes, providing insights into the detection and evolution of the polar vortex in the stratosphere. Through this research, we seek to bridge the gap between the theoretical constructs of LCSs and their practical applications in atmospheric research. |
Preliminary scope of work in English |
Lagrangian Coherent Structures (LCSs) play a pivotal role in understanding fluid flows and have considerable potential for atmospheric applications. This bachelor thesis delves into the theory of LCSs, elucidating its potential constructions and applications in atmospheric studies. A distinctive aspect of the study is its focus on analyzing stratospheric data to detail the winter polar circulation and its changes. The work aims to utilize the capabilities of LCSs to characterize these changes, providing insights into the detection and evolution of the polar vortex in the stratosphere. Through this research, we seek to bridge the gap between the theoretical constructs of LCSs and their practical applications in atmospheric research. |