The text begins with the simplest models and charts a course leading to some of the most complex models that have been applied to a nontrivial flow. Along the way, a systematic methodology is presented for developing and analyzing turbulence models. The methodology makes use of tensor calculus, similarity solutions, singular perturbation methods, and numerical procedures. The text stresses the need to achieve a balance amongst the physics of turbulence, mathematical tools required to solve turbulence-model equations, and common numerical problems attending their use (i.e., what good is a model if it makes your program crash?). Several user friendly programs and detailed user's guides are provided on the Compact Disk that accompanies the text.
Many of the applications are used throughout the text to permit comparison of complicated models with simpler models. A completely objective point of view is taken in assessing the merits of models and their range of applicability. The text includes an extensive Bibliography, a detailed Index and well thought out homework problems of varying degrees of difficulty.
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What's New?...
All chapters and appendices have undergone improvement and expansion. Most notably, Chapter 4 presents a new version of the k-omega model that includes cross diffusion and a stress limiter. These innovations, inspired by the research of Johan Kok and George Huang, have led to significant improvement of predictive accuracy. The new k-omega model yields close agreement with measurements for boundary layers with pressure gradient, classical free shear flows and separated flows. The improved k-omega model should provide improved predictive accuracy for complex turbulent flows as well as being a source of fresh research ideas.
Inclusion of a stress limiter in a unique way yields excellent agreement between computed and measured properties of shock-separated flows from transonic to hypersonic speeds. Recent advances and successes in devising and applying nonlinear stress/strain-rate relations are included in Chapter 6, which also presents a revised stress-transport (second-order closure) model based on the omega equation. The discussion of DNS and LES in Chapter 8 has been expanded and DES has been added. Finally, to enhance the book's utility in the classroom, the number of homework problems has increased by 25%.
As with previous editions, the book comes with a companion Compact Disk (CD) that contains source code and documentation for several useful computer programs. In addition to the software provided with the first and second editions, the CD includes a two-dimensional/axisymmetric Navier-Stokes program and some simple grid-generation software. The CD also contains experimental and DNS data in digital form to aid users who wish to compare their own turbulent-flow predictions with measurements.
The software on the CD has been modernized and optimized for personal computers running the Microsoft Windows operating system. All programs have menu-driven input-data preparation and plotting utilities, written entirely in Visual C++, that provide a user-friendly environment.
Over the years I have assembled a set of test cases that I deem essential for validating a useful engineering tool. The test cases include attached boundary layers, free shear flows, backward-facing steps and shock-separated flows to mention a few, most dealing with Mach numbers from incompressible speeds to hypersonic.
The third edition presents a version of the k-omega model that yields close agreement with measurements for all 100 test cases. And it does all of this with just 6 closure coefficients and no compressibility corrections!
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