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Finite scale theory: The role of the observer in classical fluid flow
Institution:1. Department of Medicine II, Saarland University Medical Center, Homburg, Germany;2. Laboratory of Metabolic Liver Diseases, Department of General, Transplantation and Liver Surgery, Medical University of Warsaw, Warsaw, Poland;3. Department of General, Visceral, Vascular, and Pediatric Surgery, Saarland University Medical Center, Homburg, Germany;4. Department of Diagnostic and Interventional Radiology, Saarland University Medical Center, Homburg, Germany;1. Lutsk National Technical University, Lvivska Street 75, 43018 Lutsk, Ukraine;2. Bialystok Technical University, Wiejska Street 45C, 15-351 Bialystok, Poland;1. School of Mathematical Sciences, Peking University, Beijing 100871, China;2. School of Mathematical Sciences and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China;1. Institute of Applied Mathematics (LS III), TU Dortmund University, Vogelpothsweg 87, D-44227 Dortmund, Germany;2. Computational Mathematics Department, Sandia National Laboratories, PO Box 5800 MS 1321, Albuquerque, NM 87185-1321, USA;3. Department of Mathematics and Statistics, University of New Mexico, MSC01 1115, Albuquerque, NM 87131, USA
Abstract:In this paper I review a coarse-grained fluid theory named the finite scale theory and describe the development of its numerical analog, implicit large eddy simulation (ILES). The derivation, interpretation and properties of the finite scale equations are discussed and connections to other physical theory and numerical methods are elucidated.
Keywords:Finite scale theory  Turbulence  Implicit large eddy simulation  Finite volume methods
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