Feature identification in time-indexed model output
We present a method for identifying features (time periods of interest) in data sets consisting of time-indexed model output. The method is used as a diagnostic to quickly focus the attention on a subset of the data before further analysis methods are applied. Mathematically, the infinity norm error...
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description | We present a method for identifying features (time periods of interest) in data sets consisting of time-indexed model output. The method is used as a diagnostic to quickly focus the attention on a subset of the data before further analysis methods are applied. Mathematically, the infinity norm errors of empirical orthogonal function (EOF) reconstructions are calculated for each time output. The result is an EOF reconstruction error map which clearly identifies features as changes in the error structure over time. The ubiquity of EOF-type methods in a wide range of disciplines reduces barriers to comprehension and implementation of the method. We apply the error map method to three different Computational Fluid Dynamics (CFD) data sets as examples: the development of a spontaneous instability in a large amplitude internal solitary wave, an internal wave interacting with a density profile change, and the collision of two waves of different vertical mode. In all cases the EOF error map method identifies relevant features which are worthy of further study. |
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The method is used as a diagnostic to quickly focus the attention on a subset of the data before further analysis methods are applied. Mathematically, the infinity norm errors of empirical orthogonal function (EOF) reconstructions are calculated for each time output. The result is an EOF reconstruction error map which clearly identifies features as changes in the error structure over time. The ubiquity of EOF-type methods in a wide range of disciplines reduces barriers to comprehension and implementation of the method. We apply the error map method to three different Computational Fluid Dynamics (CFD) data sets as examples: the development of a spontaneous instability in a large amplitude internal solitary wave, an internal wave interacting with a density profile change, and the collision of two waves of different vertical mode. In all cases the EOF error map method identifies relevant features which are worthy of further study.</description><identifier>ISSN: 1932-6203</identifier><identifier>EISSN: 1932-6203</identifier><identifier>DOI: 10.1371/journal.pone.0225439</identifier><identifier>PMID: 31800624</identifier><language>eng</language><publisher>United States: Public Library of Science</publisher><subject>Analysis ; Applied mathematics ; Computational fluid dynamics ; Computer applications ; Datasets ; Decomposition ; Diagnostic systems ; Earth sciences ; Empirical analysis ; Engineering and Technology ; Fluid dynamics ; Fluid mechanics ; Fluids ; Hydrodynamics ; Identification ; Internal waves ; Linear algebra ; Mathematical models ; Methods ; Models, Theoretical ; Numerical analysis ; Oceanography ; Orthogonal functions ; Physical Sciences ; Principal components analysis ; Research and Analysis Methods ; Solitary waves ; Time</subject><ispartof>PloS one, 2019-12, Vol.14 (12), p.e0225439-e0225439</ispartof><rights>COPYRIGHT 2019 Public Library of Science</rights><rights>2019 Shaw, Stastna. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. 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The method is used as a diagnostic to quickly focus the attention on a subset of the data before further analysis methods are applied. Mathematically, the infinity norm errors of empirical orthogonal function (EOF) reconstructions are calculated for each time output. The result is an EOF reconstruction error map which clearly identifies features as changes in the error structure over time. The ubiquity of EOF-type methods in a wide range of disciplines reduces barriers to comprehension and implementation of the method. We apply the error map method to three different Computational Fluid Dynamics (CFD) data sets as examples: the development of a spontaneous instability in a large amplitude internal solitary wave, an internal wave interacting with a density profile change, and the collision of two waves of different vertical mode. In all cases the EOF error map method identifies relevant features which are worthy of further study.</description><subject>Analysis</subject><subject>Applied mathematics</subject><subject>Computational fluid dynamics</subject><subject>Computer applications</subject><subject>Datasets</subject><subject>Decomposition</subject><subject>Diagnostic systems</subject><subject>Earth sciences</subject><subject>Empirical analysis</subject><subject>Engineering and Technology</subject><subject>Fluid dynamics</subject><subject>Fluid mechanics</subject><subject>Fluids</subject><subject>Hydrodynamics</subject><subject>Identification</subject><subject>Internal waves</subject><subject>Linear algebra</subject><subject>Mathematical models</subject><subject>Methods</subject><subject>Models, Theoretical</subject><subject>Numerical analysis</subject><subject>Oceanography</subject><subject>Orthogonal functions</subject><subject>Physical Sciences</subject><subject>Principal components 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The method is used as a diagnostic to quickly focus the attention on a subset of the data before further analysis methods are applied. Mathematically, the infinity norm errors of empirical orthogonal function (EOF) reconstructions are calculated for each time output. The result is an EOF reconstruction error map which clearly identifies features as changes in the error structure over time. The ubiquity of EOF-type methods in a wide range of disciplines reduces barriers to comprehension and implementation of the method. We apply the error map method to three different Computational Fluid Dynamics (CFD) data sets as examples: the development of a spontaneous instability in a large amplitude internal solitary wave, an internal wave interacting with a density profile change, and the collision of two waves of different vertical mode. 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subjects | Analysis Applied mathematics Computational fluid dynamics Computer applications Datasets Decomposition Diagnostic systems Earth sciences Empirical analysis Engineering and Technology Fluid dynamics Fluid mechanics Fluids Hydrodynamics Identification Internal waves Linear algebra Mathematical models Methods Models, Theoretical Numerical analysis Oceanography Orthogonal functions Physical Sciences Principal components analysis Research and Analysis Methods Solitary waves Time |
title | Feature identification in time-indexed model output |
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