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On the Approximation of Transport Phenomena – a Dynamical Systems Approach
Author(s) -
Dellnitz Michael,
Froyland Gary,
Horenkamp Christian,
Padberg Kathrin
Publication year - 2009
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.200910004
Subject(s) - dynamical systems theory , variety (cybernetics) , computation , flow (mathematics) , transport phenomena , statistical physics , heat transfer , lagrangian coherent structures , computer science , fluid dynamics , solar system , aerospace engineering , physics , meteorology , mechanics , astrobiology , engineering , artificial intelligence , algorithm , turbulence , quantum mechanics
Transport phenomena are studied in a large variety of dynamical systems with applications ranging from the analysis of fluid flow in the ocean and the predator‐prey interaction in jelly‐fish to the investigation of blood flow in the cardiovascular system. Our approach to analyze transport is based on the methodology of so‐called transfer operators associated with a dynamical system since this is particularly suitable. We describe the approach and illustrate it by two real world applications: the computation of transport for asteroids in the solar system and the approximation of macroscopic structures in the Southern Ocean (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)