Aplikace Lagrangeových koherentních struktur na stratosférickou zimní polární cirkulaci

• Název práce v češtině: Aplikace Lagrangeových koherentních struktur na stratosférickou zimní polární cirkulaci
• Název v anglickém jazyce: Application of Lagrangian coherent structures to the stratospheric winter polar circulation
• Klíčová slova: Lagrangeovy koherentní struktury|LCSs|Polární vír|Stratosféra
• Klíčová slova anglicky: Lagrangian coherent structures|LCSs|Polar vortex|Stratosphere
• Akademický rok vypsání: 2023/2024
• Typ práce: bakalářská práce
• Ústav: Katedra fyziky atmosféry (32-KFA)
• Vedoucí / školitel: prof. RNDr. Petr Pišoft, Ph.D.
• Řešitel: Kateřina Rezková - zadáno a potvrzeno stud. odd.
• Datum přihlášení: 23.10.2023
• Datum zadání: 23.10.2023
• Datum potvrzení stud. oddělením: 06.11.2023
• Konzultanti: RNDr. Petr Šácha, Ph.D.

Zásady pro vypracování

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.

Seznam odborné literatury

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

Předběžná náplň práce

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.

Předběžná náplň práce v anglickém jazyce

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.