Computational Fluid Mechanics and Heat Transfer, Third Edition

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ISBN 9781591690375
Cat# RU0374



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    • Presents the information in a two-part format that introduces the fundamentals of heat transfer and fluid mechanics before presenting the diverse real-world applications and a comparison of various computational methods
    • Provides increased coverage of the Navier-Stokes equations and techniques for solving them
    • Includes new material on flux vector splitting, unstructured grid methods, and high-resolution methods for practical applications, including high-resolution algorithms
    • Contains new end-of-chapter problems to foment a solid understanding of the material


    Thoroughly updated to include the latest developments in the field, this classic text on finite-difference and finite-volume computational methods maintains the fundamental concepts covered in the first edition. As an introductory text for advanced undergraduates and first-year graduate students, Computational Fluid Mechanics and Heat Transfer, Third Edition provides the background necessary for solving complex problems in fluid mechanics and heat transfer.

    Divided into two parts, the book first lays the groundwork for the essential concepts preceding the fluids equations in the second part. It includes expanded coverage of turbulence and large-eddy simulation (LES) and additional material included on detached-eddy simulation (DES) and direct numerical simulation (DNS). Designed as a valuable resource for practitioners and students, new homework problems have been added to further enhance the student’s understanding of the fundamentals and applications.

    Table of Contents

    Part I: Fundamentals
    General Remarks
    Comparison of Experimental, Theoretical, and Computational Approaches
    Historical Perspective
    Partial Differential Equations
    Physical Classification
    Mathematical Classification
    Well-Posed Problem
    Systems of Partial Differential Equations
    Other PDEs of Interest
    Basics of Discretization Methods
    Finite Differences
    Difference Representation of Partial Differential Equations
    Further Examples of Methods for Obtaining Finite-Difference Equations
    Finite-Volume Method
    Introduction to the Use of Irregular Meshes
    Stability Considerations
    Application of Numerical Methods to Selected Model Equations
    Wave Equation
    Heat Equation
    Laplace’s Equation
    Burgers’ Equation (Inviscid)
    Burgers’ Equation (Viscous)
    Concluding Remarks

    Part II: Application of Numerical Methods to the Equations of Fluid Mechanics and Heat Transfer Governing Equations of Fluid Mechanics and Heat Transfer
    Fundamental Equations
    Averaged Equations for Turbulent Flows
    Boundary-Layer Equations
    Introduction to Turbulence Modeling
    Euler Equations
    Numerical Methods for Inviscid Flow Equations
    Method of Characteristics
    Classical Shock-Capturing Methods
    Flux Splitting Schemes
    Flux-Difference Splitting Schemes
    Multidimensional Case in a General Coordinate System
    Boundary Conditions for the Euler Equations
    Methods for Solving the Potential Equation
    Transonic Small-Disturbance Equations
    Methods for Solving Laplace’s Equation
    Numerical Methods for Boundary-Layer-Type Equations
    Brief Comparison of Prediction Methods
    Finite-Difference Methods for Two-Dimensional or Axisymmetric Steady External Flows
    Inverse Methods, Separated Flows, and Viscous–Inviscid Interaction
    Methods for Internal Flows
    Application to Free-Shear Flows
    Three-Dimensional Boundary Layers
    Unsteady Boundary Layers
    Numerical Methods for the "Parabolized" Navier–Stokes Equations
    Thin-Layer Navier–Stokes Equations
    "Parabolized" Navier–Stokes Equations
    Parabolized and Partially Parabolized Navier–Stokes Procedures for Subsonic Flows
    Viscous Shock-Layer Equations
    "Conical" Navier–Stokes Equations
    Numerical Methods for the Navier–Stokes Equations
    Compressible Navier–Stokes Equations
    Incompressible Navier–Stokes Equations
    Grid Generation
    Algebraic Methods
    Differential Equation Methods
    Variational Methods
    Unstructured Grid Schemes
    Other Approaches
    Adaptive Grids
    Appendix A: Subroutine for Solving a Tridiagonal System of Equations
    Appendix B: Subroutines for Solving Block Tridiagonal Systems of Equations
    Appendix C: Modified Strongly Implicit Procedure

    Editorial Reviews

    "I have always considered this book the best gift from one generation to the next in computational fluid dynamics. I earnestly recommend this book to graduate students and practicing engineers for the pleasure of learning and a handy reference. The description of the basic concepts and fundamentals is thorough and is crystal clear for understanding. And since 1984, two newer editions have kept abreast to the new, relevant, and fully verified advancements in CFD."
    —Joseph J.S. Shang, Wright State University

    "Computational Fluid Mechanics and Heat Transfer is very well written to be used as a textbook for an introductory computational fluid dynamics course, especially for those who want to study computational aerodynamics. Most widely used finite difference and finite volume schemes for various partial differential equations of fluid dynamics and heat transfer are presented in such a way that anyone can read and understand them rather easily. In this sense, this book is also a good textbook for self-learners of CFD. In addition to the fundamental and general topics to be covered in a typical CFD textbook, chapters concerning high-speed aerodynamics in depth are also included, which is very important for computational aerodynamicists."
    —Prof. Seung O. Park, Korea Advanced Institute of Science and Technology