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Applied mathematics and turbulence modelling
Author(s) -
Mohammadi B.,
Pironneau O.
Publication year - 1995
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650200809
Subject(s) - turbulence , reynolds number , computational fluid dynamics , scale (ratio) , k epsilon turbulence model , fluid mechanics , mathematics , statistical physics , mathematical model , reynolds stress equation model , reynolds stress , k omega turbulence model , calculus (dental) , computer science , mechanics , physics , medicine , statistics , dentistry , quantum mechanics
Turbulence modelling is done traditionally in fluid mechanics departments. However, mathematical tools such as frame invariance, multiple scale expansions and the like are of great help. We shall demonstrate these facts by applying mathematical and numerical tools to the K–ε model. We shall investigate wall laws. Reynolds hypothesis, positivity of k and ε and flows with multiple scales. We shall also take this opportunity to review some mathematical results relevant to turbulence modelling.