Statistical Turbulence Modelling For Fluid Dynamics - Demystified: An Introductory Text For Graduate Engineering Students

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World Scientific, 2015 M08 20 - 424 páginas
This book is intended for self-study or as a companion of lectures delivered to post-graduate students on the subject of the computational prediction of complex turbulent flows. There are several books in the extensive literature on turbulence that deal, in statistical terms, with the phenomenon itself, as well its many manifestations in the context of fluid dynamics. Statistical Turbulence Modelling for Fluid Dynamics — Demystified differs from these and focuses on the physical interpretation of a broad range of mathematical models used to represent the time-averaged effects of turbulence in computational prediction schemes for fluid flow and related transport processes in engineering and the natural environment. It dispenses with complex mathematical manipulations and instead gives physical and phenomenological explanations. This approach allows students to gain a 'feel' for the physical fabric represented by the mathematical structure that describes the effects of turbulence and the models embedded in most of the software currently used in practical fluid-flow predictions, thus counteracting the ill-informed black-box approach to turbulence modelling. This is done by taking readers through the physical arguments underpinning exact concepts, the rationale of approximations of processes that cannot be retained in their exact form, and essential calibration steps to which the resulting models are subjected by reference to theoretically established behaviour of, and experimental data for, key canonical flows.
 

Contenido

1 Statistical Viewpoint of Turbulence Motivation and Rationale
1
2 What Makes Turbulence Tick?
7
3 ReynoldsAveraging
33
4 Fundamentals of StressStrain Interactions
49
5 Fundamentals of NearWall Interaction
65
6 Fundamentals of ScalarFluxScalarGradient Interactions
79
7 The Eddy Viscosity
87
8 OneEquation EddyViscosity Models
115
11 Defects of Linear EddyViscosity Models Their Sources and Imperfect Corrections
199
12 ReynoldsStressTransport Modelling
227
13 ScalarHeatFluxTransport Modelling
303
14 The v2 f Model
315
15 Algebraic ReynoldsStress and NonLinear EddyViscosity Models
327
Basic Tensor Algebra and Rules
379
References
383
Index
397

9 TwoEquation Models
135
10 Wall Functions for Linear EddyViscosity Models
181

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