Finite analytic method in flows and heat transfer /

Finite analytic method in flows and heat transfer /

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Bibliographic Details
Other Authors: Chen, Ching Jen, 1936-
Format: Book
Language:English
Published: New York : Taylor & Francis, 2000
New York : c2000
Subjects:
Fluid dynamics
Heat > Transmission > Mathematical models
Table of Contents:
  • I Introduction to Computational Fluid Dynamics
  • 1. Introduction
  • 2. Governing Equations
  • 3. Classification of PDEs
  • 4. Well-Posed Problems
  • 5. Numerical Methods
  • 6. Finite Difference Method
  • II. Finite Analytic Method
  • 7. Basic principles
  • 8. One-Dimensional Case
  • 9. Two-Dimensional Cale
  • 10. Three-Dimensional Case
  • 11. Stability and Convergence
  • 12. Hyperbolic PDEs
  • 13. Explicit Finite Analytic Method
  • III. Numerical Grid Generation
  • 14. Introduction to Grid Generation
  • 15. Elliptic Grid Generation
  • 16. Equations in [xi] and [eta] Coordinates
  • 17. Diagonal Cartesian Method
  • 18. FA Method on DC Coordinates
  • IV. Computational Considerations
  • 19. Velocity, Pressure and Staggered Grids
  • 20. Nonstaggered Grid Methods
  • 21. Boundary Conditions
  • V. Applications of the FA Method
  • 22. Turbulent Flows
  • 23. Turbulent Heat Transfer
  • 24. Complex Domain Flows
  • 25. Conjugate Heat Transfer. A. One-Dimensional Case
  • B. Two-Dimensional Case.
  • I Introduction to Computational Fluid Dynamics. 1. Introduction. 2. Governing Equations. 3. Classification of PDEs. 4. Well-Posed Problems. 5. Numerical Methods. 6. The Finite Difference Method
  • II. The Finite Analytic Method. 7. Basic principles. 8. The One-Dimensional Case. 9. The Two-Dimensional Cale. 10. The Three-Dimensional Case. 11. Stability and Convergence. 12. Hyperbolic PDEs. 13. Explicit Finite Analytic Method
  • III. Numerical Grid Generation. 14. Introduction to Grid Generation. 15. Elliptic Grid Generation. 16. Equations in [xi] and [eta] Coordinates. 17. Diagonal Cartesian Method. 18. FA Method on DC Coordinates
  • IV. Computational Considerations. 19. Velocity, Pressure and Staggered Grids. 20. Nonstaggered Grid Methods. 21. Boundary Conditions
  • V. Applications of the FA Method. 22. Turbulent Flows. 23. Turbulent Heat Transfer. 24. Complex Domain Flows. 25. Conjugate Heat Transfer. A. The One-Dimensional Case
  • B. The Two-Dimensional Case.
  • I Introduction to Computational Fluid Dynamics. 1. Introduction. 2. Governing Equations. 3. Classification of PDEs. 4. Well-Posed Problems. 5. Numerical Methods. 6. The Finite Difference Method
  • II. The Finite Analytic Method. 7. Basic principles. 8. The One-Dimensional Case. 9. The Two-Dimensional Cale. 10. The Three-Dimensional Case. 11. Stability and Convergence. 12. Hyperbolic PDEs. 13. Explicit Finite Analytic Method
  • III. Numerical Grid Generation. 14. Introduction to Grid Generation. 15. Elliptic Grid Generation. 16. Equations in [xi] and [eta] Coordinates. 17. Diagonal Cartesian Method. 18. FA Method on DC Coordinates
  • IV. Computational Considerations. 19. Velocity, Pressure and Staggered Grids. 20. Nonstaggered Grid Methods. 21. Boundary Conditions
  • V. Applications of the FA Method. 22. Turbulent Flows. 23. Turbulent Heat Transfer. 24. Complex Domain Flows. 25. Conjugate Heat Transfer. A. The One-Dimensional Case
  • Methods of Prediction
  • Numerical Methods
  • Governing Equations
  • Stokes-Fourier Postulates
  • The Navier-Stokes and Energy Equations
  • Compressible Flows
  • Incompressible Flows
  • Vorticity and Stream Function
  • Non-dimensional Governing Equations
  • Turbulent Navier-Stokes and Energy Equations
  • Averaging Processes
  • Averaged Turbulence Equations
  • Turbulence Transport Equations
  • Turbulence Closure
  • First-Order Closure (Zero Equation Model)
  • Second-Order Closure
  • Progress in Turbulence Modeling
  • Second-Order Turbulence Closure Models
  • Modifications of Second-Order Closure Models
  • Numerical Considerations in the Near-Wall Region
  • Overview and Areas for Future Work
  • Classification of PDEs
  • First-Order Equations and Characteristics
  • Second-Order Equations and Characteristics
  • Well-Posed Problems
  • Example of Existence
  • Example of Uniqueness
  • Example of Instability
  • Existence and Physical Problems
  • Uniqueness and the Downstream Condition
  • Some Improperly Posed Problems
  • Numerical Methods
  • Grid Generation
  • Finite Difference Method
  • Finite Element Method
  • Finite Analytic Method
  • The Finite Difference Method
  • Discretization
  • Central, Backward and Forward Differences
  • Unsteady, One-Dimensional Heat Equation
  • Error and Stability
  • Error Types
  • Two-Dimensional Heat Equation
  • Exercises for Part I
  • The Finite Analytic Method
  • The Transport Equation
  • FA Fundamentals
  • The One-Dimensional Case
  • The One-Dimensional Transport Equation
  • B The Two-Dimensional Case.

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