logo资料库

直接数值模拟DNS.pdf

发布时间：2022-06-09 发布人：admin 分类：说明书 资料大小：7.19M 资料格式：pdf 举报 版权申诉
第1页 / 共337页
第2页 / 共337页
第3页 / 共337页
第4页 / 共337页
第5页 / 共337页
第6页 / 共337页
第7页 / 共337页
第8页 / 共337页
资料共337页，剩余部分请下载后查看
    DIRECT NUMERICAL SIMULATIONS OF GAS–LIQUID MULTIPHASE FLOWS
    Title
    Copyright
    Contents
    Preface
    1 Introduction
    1.1 Examples of multiphase flows
    1.2 Computational modeling
    1.2.1 Simple flows (Re = 0 and Re = ∞)
    1.2.2 Finite Reynolds number flows
    1.3 Looking ahead
    2 Fluid mechanics with interfaces
    2.1 General principles
    2.2 Basic equations
    2.2.1 Mass conservation
    2.2.2 Momentum conservation
    2.2.3 Energy conservation
    2.2.4 Incompressible flow
    2.2.5 Boundary conditions
    2.3 Interfaces: description and definitions
    2.4 Fluid mechanics with interfaces
    2.4.1 Mass conservation and velocity conditions
    2.4.2 Surface tension
    2.4.3 Momentum conservation with interfaces
    2.4.4 Free-surface flow
    2.5 Fluid mechanics with interfaces: the one-fluid formulation
    2.6 Nondimensional numbers
    2.7 Thin films, intermolecular forces, and contact lines
    2.7.1 Disjoining pressure and forces between interfaces
    2.7.2 Contact line statics and dynamics
    2.8 Notes
    2.8.1 Fluid and interface mechanics
    2.8.2 Thin films and contact lines
    3 Numerical solutions of the Navier–Stokes equations
    3.1 Time integration
    3.2 Spatial discretization
    3.3 Discretization of the advection terms
    3.4 The viscous terms
    3.5 The pressure equation
    3.6 Velocity boundary conditions
    3.7 Outflow boundary conditions
    3.8 Adaptive mesh refinement
    3.9 Summary
    3.10 Postscript: conservative versus non-conservative form
    4 Advecting a fluid interface
    4.1 Notations
    4.2 Advecting the color function
    4.3 The volume-of-fluid (VOF) method
    4.4 Front tracking
    4.5 The level-set method
    4.6 Phase-field methods
    4.7 The CIP method
    4.8 Summary
    5 The volume-of-fluid method
    5.1 Basic properties
    5.2 Interface reconstruction
    5.2.1 Convergence order of a reconstruction method
    5.2.2 Evaluation of the interface unit normal
    5.2.3 Determination of α
    5.3 Tests of reconstruction methods
    5.3.1 Errors measurement and convergence rate
    5.3.2 Reconstruction accuracy tests
    5.4 Interface advection
    5.4.1 Geometrical one-dimensional linear-mapping method
    5.4.2 Related one-dimensional advection methods
    5.4.3 Unsplit methods
    5.5 Tests of reconstruction and advection methods
    5.5.1 Translation test
    5.5.2 Vortex-in-a-box test
    5.6 Hybrid methods
    6 Advecting marker points: front tracking
    6.1 The structure of the front
    6.1.1 Structured two-dimensional fronts
    6.1.2 Unstructured fronts
    6.2 Restructuring the fronts
    6.3 The front-grid communications
    6.3.1 Locating the front on the fixed grid
    6.3.2 Interpolation and smoothing
    6.4 Advection of the front
    6.5 Constructing the marker function
    6.5.1 Constructing the marker function from its gradient
    6.5.2 Construction of the volume fraction from the front location
    6.6 Changes in the front topology
    6.7 Notes
    7 Surface tension
    7.1 Computing surface tension from marker functions
    7.1.1 Continuous surface force method
    7.1.2 Continuous surface stress method
    7.1.3 Direct addition and elementary smoothing in the VOF method
    7.1.4 Weighted distribution in the VOF method: kernel smoothing
    7.1.5 Axisymmetric interfaces
    7.2 Computing the surface tension of a tracked front
    7.2.1 Two-dimensional interfaces
    7.2.2 Three-dimensional interfaces
    7.2.3 Smoothing the surface tension on the fixed grid
    7.3 Testing the surface tension methods
    7.3.1 Static case: spurious currents
    7.3.2 Dynamic case
    7.4 More sophisticated surface tension methods
    7.4.1 Direct addition with pressure correction
    7.4.2 CSF method with better curvature: PROST
    7.4.3 Numerical estimate of the curvature from the volume fractions: the HF method
    7.5 Conclusion on numerical methods
    8 Disperse bubbly flows
    8.1 Introduction
    8.2 Homogeneous bubbly flows
    8.3 Bubbly flows in vertical channels
    8.4 Discussion
    9 Atomization and breakup
    9.1 Introduction
    9.2 Thread, sheet, and rim breakup
    9.2.1 The Plateau–Rayleigh jet instability
    9.2.2 Film and thread breakup
    9.2.3 The Taylor–Culick rim
    9.2.4 Rims leading to droplets and fingers
    9.3 High-speed jets
    9.3.1 Structure of the atomizing jet
    9.3.2 Mechanisms of droplet formation
    9.3.3 Stability theory
    9.3.3.1 Elementary Kelvin–Helmholtz analysis
    9.3.3.2 Orr–Sommerfeld analysis
    9.4 Atomization simulations
    9.4.1 Two-dimensional, temporal simulations
    9.4.2 Two-dimensional spatially developing simulations
    9.4.3 Three-dimensional calculations
    10 Droplet collision, impact, and splashing
    10.1 Introduction
    10.2 Early simulations
    10.3 Low-velocity impacts and collisions
    10.4 More complex slow impacts
    10.5 Corolla, crowns, and splashing impacts
    10.5.1 Impacts on thin liquid layers
    10.5.2 Three-dimensional impacts
    11 Extensions
    11.1 Additional fields and surface physics
    11.1.1 Thermocapillary motion
    11.1.2 Electrohydrodynamics
    11.1.3 Mass transfer and chemical reactions
    11.1.4 Boiling
    11.1.5 Cavitation
    11.2 Imbedded boundaries
    11.2.1 The immersed boundary method of Peskin
    11.2.2 Solid boundaries
    11.2.3 Solidification
    11.3 Multiscale issues
    11.4 Summary
    Appendix A Interfaces: description and definitions
    A.1 Two-dimensional geometry
    A.2 Three-dimensional geometry
    A.3 Axisymmetric geometry
    A.4 Differentiation and integration on surfaces
    Appendix B Distributions concentrated on the interface
    B.1 A simple example
    Appendix C Cube-chopping algorithm
    C.1 Two-dimensional problem
    C.2 Three-dimensional problem
    Appendix D The dynamics of liquid sheets: linearized theory
    D.1 Flow configuration
    D.2 Inviscid results
    D.2.1 The general dispersion relation
    D.2.2 Capillary–gravity waves
    D.2.3 The Kelvin–Helmholtz instability
    D.2.4 Effect of thick boundary layers in the inviscid framework
    D.3 Viscous theory for the Kelvin–Helmholtz instability
    References
    Index
    DIRECT NUMERICAL SIMULATIONS OF GAS–LIQUID MULTIPHASE FLOWS Accurately predicting the behavior of multiphase flows is a problem of immense industrial and scientific interest. Using modern computers, researchers can now study the dynamics in great detail, and computer simulations are yielding unprece- dented insight. This book provides a comprehensive introduction to direct numer- ical simulations of multiphase flows for researchers and graduate students. After a brief overview of the context and history, the authors review the gov- erning equations. A particular emphasis is placed on the “one-fluid” formulation, where a single set of equations is used to describe the entire flow field and in- terface terms are included as singularity distributions. Several applications are discussed, such as atomization, droplet impact, breakup and collision, and bubbly flows, showing how direct numerical simulations have helped researchers advance both our understanding and our ability to make predictions. The final chapter gives an overview of recent studies of flows with relatively complex physics, such as mass transfer and chemical reactions, solidification, and boiling, and includes extensive references to current work. G R ´E T A R T R Y G G V A S O N is the Viola D. Hank Professor of Aerospace and Mechanical Engineering at the University of Notre Dame, Indiana. R U B E N S C A R D O V E L L I is an Associate Professor in the Dipartimento di Inge- gneria Energetica, Nucleare e del Controllo Ambientale (DIENCA) of the Univer- sit`a degli Studi di Bologna. S T ´E P H A N E Z A L E S K I is a Professor of Mechanics at the Universit´e Pierre et Marie Curie (UPMC) in Paris and Head of the Jean Le Rond d’Alembert Institute (CNRS UMR 7190).
    DIRECT NUMERICAL SIMULATIONS OF GAS–LIQUID MULTIPHASE FLOWS GR ´ETAR TRYGGVASON University of Notre Dame, Indiana RUBEN SCARDOVELLI Universit`a degli Studi di Bologna ST ´EPHANE ZALESKI Universit´e Pierre et Marie Curie, Paris 6
    C A M B R I D G E U N I V E R S I T Y P R E S S Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, S˜ao Paulo, Delhi, Tokyo, Mexico City Cambridge University Press The Edinburgh Building, Cambridge CB2 8RU, UK Published in the United States of America by Cambridge University Press, New York Information on this title: www.cambridge.org/9780521782401 www.cambridge.org C Cambridge University Press 2011 This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published 2011 Printed in the United Kingdom at the University Press, Cambridge A catalogue record for this publication is available from the British Library ISBN 978-0-521-78240-1 Hardback Cambridge University Press has no responsibility for the persistence or accuracy of URLs for external or third-party internet websites referred to in this publication, and does not guarantee that any content on such websites is, or will remain, accurate or appropriate.
    Contents Preface 1 Examples of multiphase flows Looking ahead 2 3 4 Thin films, intermolecular forces, and contact lines Interfaces: description and definitions Fluid mechanics with interfaces Fluid mechanics with interfaces: the one-fluid formulation Introduction 1.1 1.2 Computational modeling 1.3 Fluid mechanics with interfaces 2.1 General principles 2.2 Basic equations 2.3 2.4 2.5 2.6 Nondimensional numbers 2.7 2.8 Notes Numerical solutions of the Navier–Stokes equations 3.1 3.2 3.3 Discretization of the advection terms 3.4 3.5 3.6 Velocity boundary conditions 3.7 Outflow boundary conditions 3.8 Adaptive mesh refinement 3.9 3.10 Postscript: conservative versus non-conservative form Advecting a fluid interface 4.1 Notations Time integration Spatial discretization The viscous terms The pressure equation Summary v page ix 1 3 7 18 21 21 22 30 36 41 42 44 47 50 51 55 59 61 64 69 70 71 72 73 75 76
    vi Contents The front-grid communications Interface reconstruction Tests of reconstruction methods Interface advection Tests of reconstruction and advection methods The volume-of-fluid (VOF) method Front tracking The level-set method Phase-field methods The CIP method Summary 4.2 Advecting the color function 4.3 4.4 4.5 4.6 4.7 4.8 The volume-of-fluid method 5.1 Basic properties 5.2 5.3 5.4 5.5 5.6 Hybrid methods Advecting marker points: front tracking 6.1 The structure of the front 6.2 Restructuring the fronts 6.3 6.4 Advection of the front 6.5 Constructing the marker function 6.6 Changes in the front topology 6.7 Notes Surface tension 7.1 Computing surface tension from marker functions 7.2 Computing the surface tension of a tracked front 7.3 7.4 More sophisticated surface tension methods 7.5 Conclusion on numerical methods Disperse bubbly flows 8.1 8.2 Homogeneous bubbly flows 8.3 Bubbly flows in vertical channels 8.4 Discussion Atomization and breakup 9.1 9.2 9.3 High-speed jets 9.4 Atomization simulations Testing the surface tension methods Introduction Introduction Thread, sheet, and rim breakup 5 6 7 8 9 77 81 84 87 90 91 93 95 95 98 106 108 122 128 133 134 143 145 150 152 158 160 161 161 168 177 181 186 187 187 189 194 201 204 204 205 214 219
    Contents 10 11 Droplet collision, impact, and splashing 10.1 Introduction 10.2 Early simulations 10.3 Low-velocity impacts and collisions 10.4 More complex slow impacts 10.5 Corolla, crowns, and splashing impacts Extensions 11.1 Additional fields and surface physics 11.2 Imbedded boundaries 11.3 Multiscale issues 11.4 Summary Appendix A Interfaces: description and definitions A.1 Two-dimensional geometry A.2 Three-dimensional geometry A.3 Axisymmetric geometry A.4 Differentiation and integration on surfaces Appendix B Distributions concentrated on the interface B.1 A simple example Appendix C Cube-chopping algorithm C.1 Two-dimensional problem C.2 Three-dimensional problem Appendix D The dynamics of liquid sheets: linearized theory D.1 Flow configuration D.2 D.3 Viscous theory for the Kelvin–Helmholtz instability Inviscid results References Index vii 228 228 229 229 232 235 243 243 256 266 269 270 270 272 274 275 279 281 284 285 286 288 288 288 293 295 322
    分享到：
    赞 收藏

    相关推荐

    资料库

    课程资源

    共收录17145份资料，累计13个分类，关注成员有19位，主要包括：PHP,网络管理,网页制作,Java,.Net,数据库,3G/移动开发,C/C++,游戏开发,嵌入式,讲义,软件测试,专业指导

    热门标签

    PHP 网络管理 网页制作 Java .Net 数据库 3G/移动开发 C/C++ 游戏开发 嵌入式 讲义 软件测试 专业指导

    最新资料