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Recent Developments in the Statistical Modelling of Turbulent Flows
Author(s) -
Heinz S.
Publication year - 1999
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19990791332
Subject(s) - turbulence , consistency (knowledge bases) , flow (mathematics) , nonlinear system , relevance (law) , computer science , statistical physics , mathematics , mathematical optimization , meteorology , mechanics , physics , artificial intelligence , political science , law , quantum mechanics
Statistical methods are often used to describe transport processes in turbulent reacting flows. However, in many cases of practical relevance one has to consider not only such transports but also their influence on the turbulent reacting flow. Just the simulation of such interactions could not be provided by approaches applied previously. This led, e.g., in respect to the atmospheric chemistry to considerable problems because nonlinear chemical conversion processes, which appear nearly in all cases of practical interest, between emissions and species that are distributed in the ambient flow could only be treated approximately. To overcome these problems, methods are needed that are able to describe not only transport processes but additionally the turbulence. The developments of such techniques requires solutions for three problems: First, suited equations have to be derived that are in consistency with the hydrodynamic equations, second, the capability of such methods has to be demonstrated to reflect the features of complex turbulent flows, and third, it has to be shown that the computational costs of such methods are acceptable. It is described here, in which way these problems could be solved recently, and which advantages arise from the application of such advanced statistical methods.