Hydrodynamic Instabilities and Turbulence: Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz Mixing

Ye Zhou

doi:10.1017/9781108779135

Hydrodynamic Instabilities and Turbulence

Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz Mixing

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Cao, Qing Chen, Chenren Wang, He Zhai, Zhigang and Luo, Xisheng 2024. Interface evolution induced by two successive shocks under diverse reshock conditions. Journal of Fluid Mechanics, Vol. 999, Issue. ,

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Napieralski, Mario Cobos, Francisco Velikovich, Alexander L. and Huete, César 2024. Richtmyer–Meshkov instability when a shock is reflected for fluids with arbitrary equation of state. Journal of Fluid Mechanics, Vol. 1000, Issue. ,

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Guo, Wenxuan and Zhang, Qiang 2025. Understanding the nonlinear behavior of Rayleigh–Taylor instability with a vertical electric field for perfect dielectric fluids. Physica D: Nonlinear Phenomena, Vol. 471, Issue. , p. 134431.

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Ye Zhou, Lawrence Livermore National Laboratory, California

Publisher:: Cambridge University Press
Online publication date:: June 2024
Print publication year:: 2024
Online ISBN:: 9781108779135
DOI:: https://doi.org/10.1017/9781108779135

Subjects:: Mathematics, Physics and Astronomy, Fluid Dynamics and Solid Mechanics, Plasma Physics and Fusion Physics

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Turbulent mixing induced by hydrodynamic instabilities is found in many high- and low- energy-density regimes, ranging from supernovae to inertial confinement fusion to scramjet engines. While these applications have long been recognized, unprecedented advances in both computational and experimental tools have provided novel, critical insights to the field. Incorporating the most recent theoretical, computational, and experimental results, this title provides a comprehensive yet accessible description of turbulent mixing driven by Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz instabilities. An overview of core concepts and equations is provided, followed by detailed descriptions of complex and turbulent flows. The influences of stabilizing mechanisms, rotations, magnetic fields, and time-dependent accelerations on the evolution of hydrodynamic instabilities are explained. This book is ideal for advanced undergraduates as well as graduates beginning research in this exciting field, while also functioning as an authoritative reference volume for researchers in the wide range of disciplines for which it has applications.

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Hydrodynamic Instabilities and Turbulence

Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz Mixing

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-iv

Dedication
pp v-vi

Contents
pp vii-xii

Preface
pp xiii-xv

Acknowledgments
pp xvi-xvi

Part 1 - Fundamentals
pp 1-2

1 - A first glimpse of Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz instabilities
pp 3-15

2 - The linear stage for a singlemode
pp 16-38

3 - The nonlinear stage for a singlemode
pp 39-65

4 - Multimode instabilities: Linear and nonlinear regimes
pp 66-90

5 - Global features from the lens of integrated mixingmeasurements
pp 91-110

6 - Internal dynamics from the lens of statistical mixingmeasurements
pp 111-134

7 - Elementary aspects of turbulent flows
pp 135-148

8 - Transition to turbulence
pp 149-158

Part 2 - Hydrodynamics of Complex Flows
pp 159-160

9 - Influence of initial conditions
pp 161-182

10 - Flow properties
pp 183-213

11 - Rotation and time-dependent acceleration
pp 214-229

12 - Direction, strength, and shape of incident shock waves
pp 230-246

13 - Reshock andmulti-shocks
pp 247-276

14 - Combined instabilities
pp 277-285

15 - Geometrical configurations
pp 286-305

16 - Convergent/divergent geometry
pp 306-338

17 - Magnetohydrodynamic fluid instabilities
pp 339-356

Part 3 - From the Microscopic to Cosmic Scales
pp 357-358

18 - High-energy-density physics
pp 359-384

19 - Inertial confinement fusion implosion
pp 385-406

20 - Laboratory applications
pp 407-441

21 - Astrophysical and space applications
pp 442-456

22 - Mixmodels
pp 457-476

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Hydrodynamic Instabilities and Turbulence

Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz Mixing

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