| Description |
1 online resource |
| Contents |
Cover -- Half Title -- Title Page -- Copyright Page -- Table of Contents -- List of Figures -- List of Tables -- Preface -- I: Introduction to Computational Fluid Dynamics -- Chapter 1: Introduction -- 1.1: Methods of Prediction -- 1.2: Numerical Methods -- 1.3: Purpose and Outline -- Chapter 2: Governing Equations -- 2.1: Stokes-Fourier Postulates -- 2.2: The Navier-Stokes and Energy Equations -- 2.2.1: Compressible Flows -- 2.2.2: Incompressible Flows -- 2.2.3: Vorticity and Stream Function -- 2.2.4: Non-dimensional Governing Equations -- 2.3: Turbulent Navier-Stokes and Energy Equations |
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2.3.1: Averaging Processes -- 2.3.2: Averaged Turbulence Equations -- 2.3.3: Turbulence Transport Equations -- 2.4: Turbulence Closure -- 2.4.1: First-Order Closure (Zero Equation Model) -- 2.4.2: Second-Order Closure -- 2.5: Progress in Turbulence Modeling -- 2.5.1: Second-Order Turbulence Closure Models -- 2.5.2: Modifications of Second-Order Closure Models -- 2.5.3: Numerical Considerations in the Near-Wall Region -- 2.5.4: Overview and Areas for Future Work -- Chapter 3: Classification of PDEs -- 3.1: Terminology -- 3.2: First-Order Equations and Characteristics |
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3.3: Second-Order Equations and Characteristics -- Chapter 4: Well-Posed Problems -- 4.1: Well-Posed Problems -- 4.1.1: Example of Existence -- 4.1.2: Example of Uniqueness -- 4.1.3: Example of Instability -- 4.2: Existence and Physical Problems -- 4.3: Uniqueness and the Downstream Condition -- 4.4: Some Improperly Posed Problems -- Chapter 5: Numerical Methods -- 5.1: Grid Generation -- 5.2: Numerical Methods -- 5.2.1: Finite Difference Method -- 5.2.2: Finite Element Method -- 5.2.3: Finite Analytic Method -- Chapter 6: The Finite Difference Method -- 6.1: Discretization |
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6.2: Central, Backward and Forward Differences -- 6.3: Unsteady, One-Dimensional Heat Equation -- 6.4: Error and Stability -- 6.4.1: Error Types -- 6.4.2: Stability -- 6.5: Two-Dimensional Heat Equation -- 6.6: Exercises for Part I -- II: The Finite Analytic Method -- Chapter 7: Basic Principles -- 7.1: The Transport Equation -- 7.2: FA Fundamentals -- Chapter 8: The One-Dimensional Case -- 8.1: The One-Dimensional Transport Equation -- 8.2: Finite Analytic Solution -- 8.3: Hybrid Finite Analytic Solution -- 8.4: FA and FD Coefficient Comparison -- 8.5: Burgers' Equation |
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Chapter 9: The Two-Dimensional Case -- 9.1: The Two-Dimensional Transport Equation -- 9.2: FA Solution on Uniform Grids -- 9.3: The Poisson Equation -- 9.4: FA Solution for Nonuniform Grids -- 9.5: Heat Transfer in a Driven Cavity -- Chapter 10: The Three-Dimensional Case -- 10.1: Three-Dimensional Transport Equation -- 10.2: FA 27-Point Solution for Uniform Grids -- 10.3: FA Formulation on Nonuniform Grids -- 10.4: The 19-Point FA Formula -- 10.5: Analysis of 19- and 27-point FA Schemes -- 10.6: 11-Point FA Formula -- 10.7: FA Solution of 3D Cavity Flow -- Chapter 11: Stability and Convergence |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Finite element method.
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Fluid dynamics -- Mathematics
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Fluid dynamics.
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Heat -- Transmission -- Mathematical models
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Heat -- Transmission -- Mathematics
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Hydrodynamics
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Finite element method
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Fluid dynamics
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Fluid dynamics -- Mathematics
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Heat -- Transmission -- Mathematical models
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Heat -- Transmission -- Mathematics
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| Form |
Electronic book
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| Author |
Chen, Ching Jen, 1936-
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| ISBN |
9781000107371 |
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100010737X |
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9781003075479 |
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1003075479 |
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