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 /

• Main Author: Könözsy, László (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Fluid Mechanics and Its Applications, 120
• Subjects: Fluid mechanics.; Fluids.; Computer mathematics.; Probabilities.; Engineering Fluid Dynamics.; Fluid- and Aerodynamics.; Computational Science and Engineering.; Probability Theory and Stochastic Processes.

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...

Table of Contents:

• 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 Implementation of 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.