Modelling turbulence in engineering and the environment : rational alternative routes to closure / Kemal Hanjalić and Brian Launder ; Chapter 10 co-authored with Alistair J. Revell.

Format:

Book

Author/Creator:

Hanjalić, Kemal, author.

Launder, B. E. (Brian Edward), author.

Language:

English

Subjects (All):

Turbulence--Mathematical models.

Turbulence.

Physical Description:

1 online resource (xxviii, 505 pages) : digital, PDF file(s).

Edition:

Second edition.

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2023.

Summary:

Modelling transport and mixing by turbulence in complex flows are huge challenges for computational fluid dynamics (CFD). This highly readable book introduces readers to modelling levels that respect the physical complexity of turbulent flows. It examines the hierarchy of Reynolds-averaged Navier-Stokes (RANS) closures in various situations ranging from fundamental flows to three-dimensional industrial and environmental applications. The general second-moment closure is simplified to linear eddy-viscosity models, demonstrating how to assess the applicability of simpler schemes and the conditions under which they give satisfactory predictions. The principal changes for the second edition reflect the impact of computing power: a new chapter devoted to unsteady RANS and another on how large-eddy simulation, LES, and RANS strategies can be effectively combined for particular applications. This book will remain the standard for those in industry and academia seeking expert guidance on the modelling options available, and for graduate students in physics, applied mathematics and engineering entering the world of turbulent flow CFD.

Contents:

Cover

Half-title page

Title page

Copyright page

Contents

Preface

Preface to the First Edition

Principal Nomenclature

1 Introduction

1.1 The fact of turbulent flow

1.2 Broad options in modelling

1.3 A preview of the mean-strain generation processes in the stress-transport equation

1.4 Some consequences of the no-slip boundary condition at a wall

1.5 Sequencing of the material

2 The exact equations

2.1 The underpinning conservation equations

2.2 The Reynolds equations

2.3 The second-moment equations

3 Characterization of stress and flux dynamics: elements required for modelling

3.1 Introduction

3.2 Energy flow processes in turbulence

3.3 The spectral character of turbulence

3.4 The ε-equation

3.5 Transport equation for the mean-square scalar variance, [overline(θ[sup(2)]])

3.6 Transport equation for dissipation of scalar variance, ε[sub(θθ)]

3.7 Turbulence anisotropy, invariants and realizability

4 Approaches to closure

4.1 General remarks and basic guidelines

4.2 Pressure interactions, Φ[sub(ij)] and Φ[sub(θj)]: the Poisson equation

4.3 The basic second-moment closure for high-Re[sub(t)] flow regions

4.4 Pressure-strain models from tensor expansion

4.5 Turbulence affected by force fields

4.6 Modelling the triple moments

5 Modelling the scale-determining equations

5.1 The energy dissipation rate, ε

5.2 Other scale-determining equations

5.3 Multi-scale approaches

5.4 Determining ε[sub(θθ)], the dissipation rate of [overline(θ[sup(2)])]

6 Modelling in the immediate wall vicinity and at low Re[sub(t)]

6.1 The nature of viscous and wall effects: options for modelling

6.2 The structure of the near-wall sublayer

6.3 Wall integration (WIN) schemes.

6.4 Illustration of the performance of two near-wall models

6.5 Elliptic relaxation concept

7 Simplified schemes

7.1 Rationale and organization

7.2 Reduced transport-equation models

7.3 Algebraic truncations of the second-moment equations

7.4 Linear eddy-viscosity models

8 Wall functions

8.1 Early proposals

8.2 Towards a generalization of the wall-function concept: preliminaries

8.3 Analytical wall functions (AWFs)

8.4 A simplified AWF (SAWF)

8.5 Blended wall treatment (BWT)

8.6 Numerical wall functions (NWFs)

9 RANS modelling of unsteady flows (URANS)

9.1 Feasibility of URANS for inherently unsteady turbulent flows

9.2 Mathematical formalism

9.3 The role of the URANS model: EVM versus RSM in flow over a cylinder

9.4 URANS modelling of swirling flows and vortex precessing

9.5 Capabilities of EVMs and ASM/AFMs within URANS

10 Hybrid RANS-LES (HRL)

10.1 Introduction and overview

10.2 Large-eddy simulation

10.3 The classification of hybrid methods

10.4 Bulk zonal models and embedded LES

10.5 Wall-modelled LES

10.6 Seamless methods

10.7 Hybrid RANS-LES models: summary and outlook

References

Index.

Notes:

Title from publisher's bibliographic system (viewed on 03 Nov 2022).

Includes bibliographical references and index.

ISBN:

9781108883351

1108883354

9781108875400

1108875408