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    • 流体动力学中的计算方法(第3版)(英文版)
      • 作者:(美)弗兹格|责编:刘慧//高蓉
      • 出版社:世界图书出版公司
      • ISBN:9787510048012
      • 出版日期:2012/09/01
      • 页数:423
    • 售价:45.6
  • 内容大纲

        本书讲述了用计算机解决流体力学问题的技巧,包括计算流体力学中的高级技巧,比如湍流的大漩涡模拟、多格方法、平行计算、移动格、结构、块结构和非结构边界适用格,自由曲面流。
  • 作者介绍

  • 目录

    Preface
    1.Basic Concepts of Fluid Flow
      1.1  Introduction
      1.2  Conservation Principles
      1.3  Mass Conservation
      1.4  Momentum Conservation
      1.5  Conservation of Scalar Quantities
      1.6  Dimensionless Form of Equations
      1.7  Simplified Mathematical Models
        1.7.1  Incompressible Flow
        1.7.2  Inviscid (Euler)Flow
        1.7.3  Potential Flow
        1.7.4  Creeping(Stokes)Flow
        1.7.5  Boussinesq Approximation
        1.7.6  Boundary Layer Approximation
        1.7.7  Modeling of Complex Flow Phenomena
      1.8  Mathematical Classification of Flows
        1.8.1  Hyperbolic Flows
        1.8.2  Parabolic Flows
        1.8.3  Elliptic Flows
        1.8.4  Mixed Flow Types
      1.9  Plan of This Book
    2.Introduction to Numerical Methods
      2.1  Approaches to Fluid Dynamical Problems
      2.2  What is CFD
      2.3  Possibilities and Limitations of Numerical Methods
      2.4  Components of a Numerical Solution Method
        2.4.1  Mathematical Model
        2.4.2  .Discretization Method
        2.4.3  Coordinate and Basis Vector Systems
        2.4.4  Numerical Grid
        2.4.5  Finite Approximations
        2.4.6  Solution Method
        2.4.7  Convergence Criteria
      2.5  Properties of Numerical Solution Methods
        2.5.1  Consistency
        2.5.2  Stability
        2.5.3  Convergence
        2.5.4  Conservation
        2.5.5  Boundedness
        2.5.6  Realizability
        2.5.7  Accuracy
      2.6  Discretization Approaches
        2.6.1  Finite Difference Method
        2.6.2  Finite Volume Method
        2.6.3  Finite Element Method
    3.Finite Difference Methods
      3.1  Introduction
      3.2  Basic Concept
      3.3  Approximation of the First Derivative

        3.3.1  Taylor Series Expansion
        3.3.2  Polynomial Fitting
        3.3.3  Compact Schemes
        3.3.4  Non-Uniform Grids
      3.4  Approximation of the Second Derivative
      3.5  Approximation of Mixed Derivatives
      3.6  Approximation of Other Terms
      3.7  Implementation of Boundary Conditions
      3.8  The Algebraic Equation System
      3.9  Discretization Errors
      3.10  An Introduction to Spectral Methods
        3.10.1  Basic Concept
        3.10.2  Another View of Discretization Error
      3.11  Example
    4.Finite Volume Methods
      4.1  Introduction
      4.2  Approximation of Surface Integrals
      4.3  Approximation of Volume Integrals
      4.4  Interpolation and Differentiation Practices
        4.4.1  Upwind Interpolation (UDS)
        4.4.2  .Linear Interpolation(CDS)
        4.4.3  Quadratic Upwind Interpolation(QUICK)
        4.4.4  Higher-Order Schemes
        4.4.5  Other Schemes
      4.5  Implementation of Boundary Conditions
      4.6  The Algebraic Equation System
      4.7  Examples
    5.Solution of Linear Equation Systems
      5.1  Introduction
      5.2  Direct Methods
        5.2.1  Gauss Elimination
        5.2.2  LU Decomposition
        5.2.3  Tridiagonal Systems
        5.2.4  Cyclic Reduction
      5.3  Iterative Methods
        5.3.1  Basic Concept
        5.3.2  Convergence
        5.3.3  Some Basic Methods
        5.3.4  Incomplete LU Decomposition:Stone's Method
        5.3.5  ADI and Other Splitting Methods
        5.3.6  Conjugate Gradient Methods
        5.3.7  Biconjugate Gradients and CGSTAB
        5.3.8  Multigrid Methods
        5.3.9  Other Iterative Solvers
      5.4  Coupled Equations and Their Solution
        5.4.1  Simultaneous Solution
        5.4.2  Sequential Solution
        5.4.3  Under-Relaxation
      5.5  Non-Linear Equations and their Solution
        5.5.1  Newton-like Techniques

        5.5.2  Other Techniques
      5.6  Deferred-Correction Approaches
      5.7  Convergence Criteria and Iteration Errors
      5.8  Examples
    6.Methods for Unsteady Problems
      6.1  Introduction
      6.2  Methods for Initial Value Problems in ODEs
        6.2.1  Two-Level Methods
        6.2.2  Predictor-Corrector and Multipoint Methods
        6.2.3  Runge-Kutta Methods
        6.2.4  Other Methods
      6.3  Application to the Generic Transport Equation
        6.3.1  Explicit Methods
        6.3.2  Implicit Methods
        6.3.3  Other Methods
      6.4  .Examples
    7.Solution of the Navier-Stokes Equations
      7.1  Special Features of the Navier-Stokes Equations
        7.1.2  Discretization of Pressure Terms and Body Forces
        7.1.3  Conservation Properties
      7.2  Choice of Variable Arrangement on the Grid
        7.2.1  Colocated Arrangement
        7.2.2  Staggered Arrangements
      7.3  Calculation of the Pressure
        7.3.1  The Pressure Equation and its Solution
        7.3.2  A Simple Explicit Time Advance Scheme
        7.3.3  A Simple Implicit Time Advance Method
        7.3.4  Implicit Pressure-Correction Methods
      7.4  Other Methods
        7.4.1  Fractional Step Methods
        7.4.2  Streamfunction-Vorticity Methods
        7.4.3  Artificial Compressibility Methods
      7.5  Solution Methods for the Navier-Stokes Equations
        7.5.1  Implicit Scheme Using Pressure-Correction and a Stag-gered Grid
        7.5.2  Treatment of Pressure for Colocated Variables
        7.5.3  SIMPLE Algorithm for a Colocated Variable Arrange-ment
      7.6  Note on Pressure and Incompressibility
      7.7  Boundary Conditions for the Navier-Stokes Equations
      7.8  Examples
    8.Complex Geometries
      8.1  The Choice of Grid
        8.1.1  Stepwise Approximation Using Regular Grids
        8.1.2  Overlapping Grids
        8.1.3  Boundary-Fitted Non-Orthogonal Grids
      8.2  Grid Generation
      8.3  The Choice of Velocity Components
        8.3.1  Grid-Oriented Velocity Components
        8.3.2  Cartesian Velocity Components
      8.4  The Choice of Variable Arrangement
        8.4.1  Staggered Arrangements

        8.4.2  Colocated Arrangement
      8.5  Finite Difference Methods
        8.5.1  Methods Based on Coordinate Transformation
        8.5.2  Method Based on Shape Functions
        8.6.1  Approximation of Convective Fluxes
        8.6.2  Approximation of Diffusive Fluxes
        8.6.3  Approximation of Source Terms
        8.6.4  Three-Dimensional Grids
        8.6.5  Block-Structured Grids
        8.6.6  Unstructured Grids
      8.7  Control-Volume-Based Finite Element Methods
      8.8  Pressure-Correction Equation
      8.9  Axi-Symmetric Problems
      8.10  Implementation of Boundary Conditions
        8.10.1  Inlet
        8.10.2  Outlet
        8.10.3  Impermeable Walls
        8.10.4  Symmetry Planes
        8.10.5  Specified Pressure
      8.11  Examples
    9.Turbulent Flows
      9.1  Introduction
      9.2  Direct Numerical Simulation (DNS)
        9.2.1  Example:Spatial Decay of Grid Turbulence
      9.3  Large Eddy Simulation(LES)
        9.3.1  Smagorinsky and Related Models
        9.3.2  Dynamic Models
        9.3.3  Deconvolution Models
        9.3.4  Example:Flow Over a Wall-Mounted Cube
        9.3.5  Example:Stratified Homogeneous Shear Flow
      9.4  RANS Models
        9.4.1  Reynolds-Averaged Navier-Stokes (RANS)Equations
        9.4.2  Simple Turbulence Models and their Application
        9.4.3  The v2f Model
        9.4.4  Example:Flow Around an Engine Valve
      9.5  Reynolds Stress Models
      9.6  Very Large Eddy Simulation
    10.Compressible Flow
      10.1  Introduction
      10.2  Pressure-Correction Methods for Arbitrary Mach Number
        10.2.1  Pressure-Velocity-Density Coupling
        10.2.2  Boundary Conditions
        10.2.3  Examples
      10.3  Methods Designed for Compressible Flow
        10.3.1  An Overview of Some Specific Methods
    11.Eficiency and Accuracy Improvement
      11.1  Error Analysis and Estimation
        11.1.1  Description of Errors
        11.1.2  Estimation of Errors
        11.1.3  Recommended Practice for CFD Uncertainty Analys

      11.2  Grid quality and optimization
      11.3  Multigrid Methods for Flow Calculation
      ii.4  Adaptive Grid Methods and Local Grid Refinement
      11.5  Parallel Computing in CFD
        11.5.1  Iterative Schemes for Linear Equations
        11.5.2  Domain Decomposition in Space
        11.5.3  Domain Decomposition in Time
        11.5.4  Eficiency of Parallel Computing
    12.Special Topics
      12.1  Introduction
      12.2  Heat and Mass Transfer
      12.3  Flows With Variable Fluid Properties
      12.4  Moving Grids
      12.5  Free-Surface Flows
        12.5.1  Interface-Tracking Methods
        12.5.2  Hybrid Methods
      12.6  .Meteorological and Oceanographic Applications
      12.7  Multiphase flows
      12.8  Combustion
    A.Appendices
      A.1  List of Computer Codes and How to Access Them
      A.2  List of Frequently Used Abbreviations
    References
    Index

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