Computational Fluid Mechanics and Heat Transfer: (Computational and Physical Processes in Mechanics and Thermal Sciences)

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 Introduction General Remarks Comparison of Experimental, Theoretical, and Computational Approaches Historical Perspective Partial Differential Equations Introduction Physical Classification Mathematical Classification Well-Posed Problem Systems of Partial Differential Equations Other PDEs of Interest Problems Basics of Discretization Methods Introduction 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 Problems Application of Numerical Methods to Selected Model Equations Wave Equation Heat Equation Laplace’s Equation Burgers’ Equation (Inviscid) Burgers’ Equation (Viscous) Concluding Remarks Problems 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 Introduction 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 Problems Numerical Methods for Boundary-Layer-Type Equations Introduction 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 Problems Numerical Methods for the "Parabolized" Navier–Stokes Equations Introduction 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 Problems Numerical Methods for the Navier–Stokes Equations Introduction Compressible Navier–Stokes Equations Incompressible Navier–Stokes Equations Grid Generation Introduction Algebraic Methods Differential Equation Methods Variational Methods Unstructured Grid Schemes Other Approaches Adaptive Grids Problems 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 Nomenclature References Index

Review :
"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