MICROBURST FRONT DETECTION WITH FINITE TIME LYAPUNOV EXPONENTS
DOI:
https://doi.org/10.5902/2179460X20228Keywords:
Microburst. Vortex. Finite time Lyapunov exponents. Lagrangian coherent structures.Abstract
A microburst is a phenomena that occurs in the atmosphere which consist on a very intense downdraft that, after impinging on the ground surface, leads to strongly divergent winds at and just above the ground level. Such winds can reach more than 30 m/s-1 and are associated with high shear forces, representing a serious threat to aircrafts and buildings. The detection and tracking of the front of the microburst expansion at the ground level becomes an important and interesting field for researchers. Previous works show the detection of the vortex core but not for the vortex front. From velocity fields obtained from a LES simulation, we utilize Finite Time Lyapunov Exponents (FTLE) which measures the exponential divergence between particle trajectories. Then we identify manifolds which acts as separatrices of the flow and represent the edge or front of the vortex. By tracking the vortex front we also measure its displacement through time. Find the front of the vortex using only vorticity and velocity fields is complicated and imprecise. Therefore, the combination of these two methods represents a new approach in this particular problem.Downloads
References
Anabor, V., Rizza, U., Nascimento, E. L., Degrazia, G. A. (2011). Large-eddy simulation of a microburst. Atmospheric Chemistry and Physics, 11, 9323 – 9331.
Demarco, G., Barrere, N., Sarasua, G., Marti, A. C., Acevedo, O. C., de Nascimento, E. L., Cabeza, C. (2013). Combined effect of jet impingement and density perturbation forcing on the evolution of laboratory-simulated microbursts. Journal of wind engineering and industrial aerodynamics, 123, 69–76.
Fujita, T. (1985). The downburst, microburst and macroburst, satellite and mesometereology research (smrp). Department of geophysical science, 36, 75–86.
Fujita, T. (1990). Downbursts: metereological features and wind field characteristics. Journal of wind engineering and industrial aerodynamics.
Haller, G. (2000). Finding finite-time invariant manifolds in two-dimendional velocity ffields. Chaos, 10, 1–10.
Haller, G., Yuan, G. (2000). Lagrangian coherent structures and mixing in two-dimendional turbulence. Physica D, 147, 352–370.
Holmes, J., Oliver, S. (2000). An empirical model of a downburst. Engineering structures, 22, 1167–1172.
Lundgren, T., Yao, J., Mansour, N. (2007). Microburst modelling and scalling. Journal of Fluid Mechanics, 239, 461–488.
Moeng, C. H. (1984). A large-eddy-simulation model for the study of planetary boundary layer turbulence. Journal of Atmospheric Science, 41(13), 2052–2062.
Orf, L. G., Anderson, J. R., Straka, J. M. (1996). A three-dimensional numerical analysis of colliding microburst outflow dynamics. Journal of Atmospheric Sciences, 53, 2490–2511.
Proctor, F. (1988). Numerical simulation of an isolated microburst part i:dynamics and structure. Journal of Atmospheric Sciences, 45, 3137–3160.
Proctor, F. (1989). Numerical simulation of an isolated microburst part ii:sensitivity experiments. Journal of Atmospheric Sciences, 46, 2143–2165.
Shadden, S. (2006). A dynamical systems approach to unsteady systems. Tese de Doutorado, California Institute of Technology.
Shadden, S., Leiken, F., Marsden, J. (2005). Definition and properties of lagrangian coherent structures from finite-time lyapunov exponents in two-dimendional a periodic flows. Physica D, 212, 271–304.
Shadden, S., Dabiri, J., Marsden, J. (2006). Lagrangian analysis of fluid transport in empirical vortex ring flows. Physics of fluids.
Sullivan, P. P., McWilliams, J. C., Moeng, C. H. (1994). A subgrid-scale model for large-eddy simulations of planetary boundary-layer flows. Boundary Layer Meteorology, 71(3), 247–276.
Downloads
Published
How to Cite
Issue
Section
License
To access the DECLARATION AND TRANSFER OF COPYRIGHT AUTHOR’S DECLARATION AND COPYRIGHT LICENSE click here.
Ethical Guidelines for Journal Publication
The Ciência e Natura journal is committed to ensuring ethics in publication and quality of articles.
Conformance to standards of ethical behavior is therefore expected of all parties involved: Authors, Editors, Reviewers, and the Publisher.
In particular,
Authors: Authors should present an objective discussion of the significance of research work as well as sufficient detail and references to permit others to replicate the experiments. Fraudulent or knowingly inaccurate statements constitute unethical behavior and are unacceptable. Review Articles should also be objective, comprehensive, and accurate accounts of the state of the art. The Authors should ensure that their work is entirely original works, and if the work and/or words of others have been used, this has been appropriately acknowledged. Plagiarism in all its forms constitutes unethical publishing behavior and is unacceptable. Submitting the same manuscript to more than one journal concurrently constitutes unethical publishing behavior and is unacceptable. Authors should not submit articles describing essentially the same research to more than one journal. The corresponding Author should ensure that there is a full consensus of all Co-authors in approving the final version of the paper and its submission for publication.
Editors: Editors should evaluate manuscripts exclusively on the basis of their academic merit. An Editor must not use unpublished information in the editor's own research without the express written consent of the Author. Editors should take reasonable responsive measures when ethical complaints have been presented concerning a submitted manuscript or published paper.
Reviewers: Any manuscripts received for review must be treated as confidential documents. Privileged information or ideas obtained through peer review must be kept confidential and not used for personal advantage. Reviewers should be conducted objectively, and observations should be formulated clearly with supporting arguments, so that Authors can use them for improving the paper. Any selected Reviewer who feels unqualified to review the research reported in a manuscript or knows that its prompt review will be impossible should notify the Editor and excuse himself from the review process. Reviewers should not consider manuscripts in which they have conflicts of interest resulting from competitive, collaborative, or other relationships or connections with any of the authors, companies, or institutions connected to the papers.