Multifractal Method for the Instantaneous Evaluation of the Stream Function in Geophysical Flows
4 pages, 3 figures
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American Physical Society
2005-09
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dig-icm-es-10261-1336582020-11-10T09:58:03Z Multifractal Method for the Instantaneous Evaluation of the Stream Function in Geophysical Flows Turiel, Antonio Isern-Fontanet, Jordi García-Ladona, Emilio Font, Jordi 4 pages, 3 figures Multifractal or multiaffine analysis is a promising new branch of methods in nonlinear physics for the study of turbulent flows and turbulentlike systems. In this Letter we present a new method based on the multifractal singularity extraction technique, the maximum singular stream-function method (MSSM), which provides a first order approximation to the stream function from experimental data in 2D turbulent systems. The essence of MSSM relies in relating statistical properties associated with the energy cascade in flows with geometrical properties. MSSM is a valuable tool to process sparse collections of data and to obtain instant estimates of the velocity field. We show an application of MSSM to oceanography as a way to obtain the current field from sea surface temperature satellite images; we validate the result with independent dynamical information obtained from sea level measurements. © 2005 The American Physical Society This is a contribution to IMAGEN (Spanish R+D Plan: REN2001-0802-C02-02) and MERSEA projects (EU AIP3-CT-2003-502885). A. Turiel is contracted under the Ramon y Cajal program by the Spanish Ministry of Education. J. Isern-Fontanet is funded by the IMAGEN and MERSEA projects Peer Reviewed 2016-06-17T11:04:00Z 2016-06-17T11:04:00Z 2005-09 2016-06-17T11:04:01Z artículo http://purl.org/coar/resource_type/c_6501 doi: 10.1103/PhysRevLett.95.104502 issn: 0031-9007 e-issn: 1079-7114 Physical Review Letters 95(2): 104502 (2005) http://hdl.handle.net/10261/133658 10.1103/PhysRevLett.95.104502 https://doi.org/10.1103/PhysRevLett.95.104502 Sí open American Physical Society |
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4 pages, 3 figures |
format |
artículo |
author |
Turiel, Antonio Isern-Fontanet, Jordi García-Ladona, Emilio Font, Jordi |
spellingShingle |
Turiel, Antonio Isern-Fontanet, Jordi García-Ladona, Emilio Font, Jordi Multifractal Method for the Instantaneous Evaluation of the Stream Function in Geophysical Flows |
author_facet |
Turiel, Antonio Isern-Fontanet, Jordi García-Ladona, Emilio Font, Jordi |
author_sort |
Turiel, Antonio |
title |
Multifractal Method for the Instantaneous Evaluation of the Stream Function
in Geophysical Flows |
title_short |
Multifractal Method for the Instantaneous Evaluation of the Stream Function
in Geophysical Flows |
title_full |
Multifractal Method for the Instantaneous Evaluation of the Stream Function
in Geophysical Flows |
title_fullStr |
Multifractal Method for the Instantaneous Evaluation of the Stream Function
in Geophysical Flows |
title_full_unstemmed |
Multifractal Method for the Instantaneous Evaluation of the Stream Function
in Geophysical Flows |
title_sort |
multifractal method for the instantaneous evaluation of the stream function
in geophysical flows |
publisher |
American Physical Society |
publishDate |
2005-09 |
url |
http://hdl.handle.net/10261/133658 |
work_keys_str_mv |
AT turielantonio multifractalmethodfortheinstantaneousevaluationofthestreamfunctioningeophysicalflows AT isernfontanetjordi multifractalmethodfortheinstantaneousevaluationofthestreamfunctioningeophysicalflows AT garcialadonaemilio multifractalmethodfortheinstantaneousevaluationofthestreamfunctioningeophysicalflows AT fontjordi multifractalmethodfortheinstantaneousevaluationofthestreamfunctioningeophysicalflows |
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1777666434939224064 |