Titel: Continuum Methods of Physical Modeling
Autor/en: Kolumban Hutter, Klaus Jöhnk
Continuum Mechanics, Dimensional Analysis, Turbulence.
Springer Berlin Heidelberg
20. Januar 2004 - gebunden - 656 Seiten
The authors give an introduction to continuum thermomechanics, the methods of dimensional analysis and turbulence modeling. All these themes belong today to the everyday working method not only of environmental physicists but equally of those engineers who are confronted with continuous systems of solid and fluid mechanics, soil mechanics and generally the mechanics and thermodynamics of heterogeneous systems. Here the reader finds a rigorous mathematical presentation of the material which is also seen as the foundation for environmentally related physics like oceanography, limnology, glaciology, climate dynamics and other topics in geophysics. Although it is hoped that the book will also be used as a source book by researchers in the broad field of continuum physics, its intention is essentially to form a basis for teaching upper level students majoring in mechanics, mathematics, physics and the classical engineering sciences. The intention is to equip the reader with the ability to understand the complex nonlinear modeling in material behaviour and turbulence closure as well as to derive or invent his own models.
Introduction.- Continuum Mechanics: Basic Kinematics.- Balance Equations.- Jump Conditions.- Moving Reference Systems.- Material Equations.- Phase Transition in Viscous Heat Conducting Compressible Fluids.- Theory of Mixtures.- Dimensional Analysis: Theoretical Foundation of Dimensional Analysis.- Similitude and Model Experiments.- Turbulence: Fundamental Concepts of Turbulence.- k-e Model for Density Preserving and Boussinesq Fluids.- Algebraic Reynolds Stress Models.- Application of k-e Model.- References.- Indices.
From the reviews:
"The book is about continuum mechanics, dimensional analysis, and turbulence. This is an extremely interesting program that the authors carry to a happy end ... . It maintains a good balance between rigor and a good sense of applicability to real physical problems. ... The whole discussion given by the authors in this book ... is superb. ... The book belongs on the shelf of all ... . the quantity and richness of the fully solved exercises make the book an excellent instrument for self-teaching as well." (Gérard A. Maugin, Mathematical Reviews, 2005h)
"This book, which is divided into three parts, begins with the development of balance laws or conservation equations and ends with a sequence of chapters devoted to turbulence. ... is intended for students in the engineering disciplines whose interests lie in fluid dynamics. ... a unique feature of the book is the inclusion of solutions to exercises ... . As a reference source for students, this may be quite useful ... . Certainly a book with a both interesting and unique topical mixture." (T.B. Gatski, Journal of Fluid Mechanics, Vol. 526, 2005)