- 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.

** Part I: FundamentalsIntroduction**General Remarks

Comparison of Experimental, Theoretical, and Computational Approaches

Historical Perspective

Physical Classification

Mathematical Classification

Well-Posed Problem

Systems of Partial Differential Equations

Other PDEs of Interest

Problems

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

Heat Equation

Laplace’s Equation

Burgers’ Equation (Inviscid)

Burgers’ Equation (Viscous)

Concluding Remarks

Problems

Averaged Equations for Turbulent Flows

Boundary-Layer Equations

Introduction to Turbulence Modeling

Euler 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

Problems

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

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

Compressible Navier–Stokes Equations

Incompressible Navier–Stokes Equations

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

"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