A New Hypothesis on the Anisotropic Reynolds Stress Tensor for Turbulent Flows

Volume I: Theoretical Background and Development of an Anisotropic Hybrid k-omega Shear-Stress Transport/Stochastic Turbulence Model
1. Auflage 2019
ISBN: 978-3-030-13542-3
Verlag: Springer International Publishing

Buch, Englisch, Band 120, 141 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 442 g

Reihe: Fluid Mechanics and Its Applications

This book gives a mathematical insight--including intermediate derivation steps--into engineering physics and turbulence modeling related to an anisotropic modification to the Boussinesq hypothesis (deformation theory) coupled with the similarity theory of velocity fluctuations.

Through mathematical derivations and their explanations, the reader will be able to understand new theoretical concepts quickly, including how to put a new hypothesis on the anisotropic Reynolds stress tensor into engineering practice. The anisotropic modification to the eddy viscosity hypothesis is in the center of research interest, however, the unification of the deformation theory and the anisotropic similarity theory of turbulent velocity fluctuations is still missing from the literature. This book brings a mathematically challenging subject closer to graduate students and researchers who are developing the next generation of anisotropic turbulence models.

Indispensable for graduate students, researchers and scientists in fluid mechanics and mechanical engineering.

Zielgruppe

Graduate

Autoren/Hrsg.

Könözsy, László

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre

Inhaltsverzeichnis

1 Introduction.- 1.1 Historical Background and Literature Review.- 1.2 Governing Equations of Incompressible Turbulent Flows.- 1.3 Summary.- References.- 2 Theoretical Principles and Galilean Invariance.- 2.1 Introduction.- 2.2 Basic Principles of Advanced Turbulence Modelling.- 2.3 Summary.- References.- 3 The k-w Shear-Stress Transport (SST) Turbulence Model.- 3.1 Introduction.- 3.2 Mathematical Derivations.- 3.3 Governing Equations of the k-w SST Turbulence Model.- 3.4 Summary.- References.- 4 Three-Dimensional Anisotropic Similarity Theory of Turbulent Velocity Fluctuations.- 4.1 Introduction.- 4.2 Similarity Theory of Turbulent Oscillatory Motions.- 4.3 Summary.- References.- 5 A New Hypothesis on the Anisotropic Reynolds Stress Tensor.- 5.1 Introduction.- 5.2 The Anisotropic Reynolds Stress Tensor.- 5.3 An Anisotropic Hybrid k-w SST/STM Closure Model for Incompressible Flows.- 5.4 Governing Equations of the Anisotropic Hybrid k-w SST/STM Closure Model.- 5.5 On the Implementationof the Anisotropic Hybrid k-w SST/STM Turbulence Model.- 5.6 Summary.- References.- Appendices: Additional Mathematical Derivations.- A.1 The Unit Base Vectors of the Fluctuating OrthogonalCoordinate System.- A.2 Galilean Invariance of the Unsteady Fluctuating VorticityTransport Equation.- A.3 The Deviatoric Part of the Similarity Tensor.