This classic text on finite-difference and finite-volume computational methods has been thoroughly updated to include all of the latest developments in the field while still preserving the fundamental crucial concepts covered in the first edition. As an introductory text for advanced undergraduates and first year graduate students, it provides the background necessary for solving complex problems in fluid mechanics and heat transfer. In the first part the fundamentals of numerical simulation are presented; the second part describes the various available solution methods (with comparisons regarding their advantages and disadvantages) and includes relevant references to the literature--serving 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. The third edition of Computational Fluid Mechanics and Heat Transfer (CFHT) contains new coverage of topics that have become better understood (and their applications more sophisticated) since the last edition. The authors embrace the new era of the Navier-Stokes (N-S) equations and will update the material accordingly, showcasing the N-S equations in the second part. Chapters 1-4 lay the groundwork for the essential concepts preceding the fluids equations in Part II. The coverage on turbulence and LES (large-eddy simulation) will be expanded and additional material included on DES (detached-eddy simulation) and DNS (direct numerical simulation). Specifically, chapter 9 will include new "high resolution" schemes and "higher-order accurate" schemes as part of the numerical approaches to solving the N-S equations. Chapter 10 will reflect the development and growth of improved treatments of complex geometry.