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Stochastic Multi‐Scale Methods for Turbulent Flow Simulations
Author(s) -
Heinz Stefan
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610315
Subject(s) - generality , unification , mathematical optimization , scale (ratio) , heuristic , computer science , flow (mathematics) , interpolation (computer graphics) , basis (linear algebra) , mathematics , artificial intelligence , motion (physics) , psychology , physics , geometry , quantum mechanics , psychotherapist , programming language
The use of currently available methods for turbulent flow simulations is faced with significant problems: one has the choice between efficient methods with relatively low predictive power (which require evidence in each case) or relatively accurate but very expensive methods. The unification of these methods would be very helpful for a better understanding of the generality of modeling assumptions, and to make an optimal use of characteristic advantages of models. Previously, this problem was addressed on the basis of deterministic equations, which resulted in many different heuristic interpolation procedures. These problems can be solved by addressing the question considered at the more general level of stochastic equations: in this way it is possible to obtain consistent stochastic multi‐scale methods which imply corresponding deterministic equations. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)