Identification of Atmospheric Blocking with Morphological Type by Topological Flow Data Analysis

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  • UDA Tomoki
    Advanced Institute for Materials Research (WPI-AIMR), Tohoku University, Sendai, Japan
  • SAKAJO Takashi
    Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto, Japan
  • INATSU Masaru
    Department of Earth and Planetary Sciences, Faculty of Science, Hokkaido University, Sapporo, Japan
  • KOGA Kazuki
    Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto, Japan

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  • 流線トポロジー解析(TFDA)による大気ブロッキング現象の抽出とその型同定

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Abstract

<p>This study proposes an algorithm detecting atmospheric blocking by extracting topological features of geopotential height data at 500 hPa. The algorithm uses topological flow data analysis (TFDA) providing a unique symbolic representation, named the partially cyclically ordered rooted tree (COT) representation, and a discrete graph structure, called a Reeb graph, to each structurally stable Hamiltonian vector field based on the mathematical theory of topological classifications for streamline patterns. It recognizes blocking events more simply and effectively using fewer meteorological parameters than conventional algorithms. Furthermore, the algorithm can determine morphological types of blocking events, an Omega shape or a dipole pattern, whereas no effective algorithm has been available so far. The identified blocking events and their morphological types are consistent with synopticians' subjective judgments.</p>

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