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Universal wall‐boundary conditions for turbulence‐transport models
Author(s) -
Rung T.,
Lübcke H.,
Thiele F.
Publication year - 2001
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.20010811520
Subject(s) - turbulence , representation (politics) , boundary value problem , closure (psychology) , computational fluid dynamics , mechanics , flexibility (engineering) , flow (mathematics) , k epsilon turbulence model , boundary (topology) , computer science , computer simulation , shear stress , statistical physics , mathematical optimization , mathematics , physics , mathematical analysis , statistics , politics , political science , economics , law , market economy
Abstract In the industrial design process of fluids engineering devices, the use of numerical simulation is of ever increasing importance. The predictive quality of such simulations is often governed by the representation of turbulence. Virtually all industrial simulations mimic the influence of turbulence by a closure model based on transport equations for statistical turbulence properties. Besides the derivation of such transport‐equation models, the adequate formulation of wall‐boundary conditions has come into the focus of attention. Conventional boundary conditions rely on the validity of specific flow conditions pertaining to the wall‐shear stress and the resolution properties of the computational grid in the wall‐adjacent region. Since the shear stress is part of the simulation result, this approach—strictly speaking—requires the anticipation of the solution. Moreover, it significantly affects the efficiency and flexibility of the simulation due to the associated mesh constraints. The principal aim of this research is the development of a universal boundary condition. Examples included show encouraging results for attached and separated flows.