Stochastic Tools in Turbulence (Applied Mathematics and Mechanics Series : Volume 12)
| Author | : | |
| Rating | : | 4.24 (667 Votes) |
| Asin | : | 0124600506 |
| Format Type | : | paperback |
| Number of Pages | : | 194 Pages |
| Publish Date | : | 0000-00-00 |
| Language | : | English |
DESCRIPTION:
. About the Author John L. Lumley is Professor Emeritus in the Department of Mechanical and Aerospace Engineering, Cornell University. He has authored or co-authored over two hundred scientific papers and several books
This accessible treatment offers the mathematical tools for describing and solving problems related to stochastic vector fields. Advanced undergraduates and graduate students will find its use of generalized functions a relatively simple method of resolving mathematical questions. It will prove a valuable reference for applied mathematicians and professionals in the fields of aerospace, chemical, civil, and nuclear engineering.The author, Professor Emeritus of Engineering at Cornell University, starts with a survey of probability distributions and densities and proceeds to examinations of moments, characteristic functions, and the Gaussian distribution; random functions; and random processes in more dimensions. Extensive appendixes—which include information on Fourier transforms, tensors, generalized functions, and invariant theory—contribute toward making this volume mathematically self-contained.
. John L. He has authored or co-authored over two hundred scientific papers and several books. Lumley is Professor Emeritus in the Department of Mechanical and Aerospace Engineering, Cornell University
False Advertising John L Lumley has written a number of well regarded books on the general subject of turbulence, but "Stochastic Tools in Turbulence" is severely misnamed. A better title would have been "Mathematics of Three-Dimensional Stochastic Vector Fields." If you are looking for careful definitions of probabalistic ideas in terms of measures and Lebesgue integrals, and a derivation of the Characteristic functional for the multipoint probabilities, this book might be a good choice. If, on the other hand, you (like me) were just trying to make sense out of estimating the Reynolds Stress Tensor from 20 Hz anemometer data - not so much.Ther. "A nice mathematical exercise in random functions and processes" according to Dr. Helmut Z. Baumert. Books by Lumley have generally a high stature and impact, namely if written together with Tennekes. The present book is also valuable. In the Preface and the Acknowledgements the author indicates that it is part of a broad spectrum of mathematical literature around the topic of turbulence, dominated by schools around Kolmogorov, Doob, Monin, Yaglom, Batchelor and others; most of them are mathematicians. The irony here is that the most successful contributions (i.e. those which observable/measurable) to turbulence are mathematically trivial: Prandtl's concept of eddy diffusivity (so-called Kolmogorov-Prandtl relation between tu. "Good book!" according to Oehmu. The book is good and easy to read. A few errors but you can figure them out easily. In general, covers fundamental concepts in a way that you can follow the main idea