Continuum Methods of Physical Modeling
Continuum Mechanics, Dimensional Analysis, Turbulence
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Beschreibung
The authors give an introduction into continuum thermomechanics, the methods of dimensional analysis and turbulence modeling. All these themes belong today to the everyday working method of not only environmental physicists but equally also 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. Even though 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 for 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.
This book is a considerable outgrowth of lecture notes on Mechanics of en vironmentally related systems I, which I hold since more than ten years in the Department of Mechanics at the Darmstadt University of Technology for upper level students majoring in mechanics, mathematics, physics and the classical engineering sciences. These lectures form a canon of courses over three semesters in which I present the foundations of continuum physics (first semester), those of physical oceanography and limnology (second semester) and those of soil, snow and ice physics in the geophysical context (third semester). The intention is to build an understanding of the mathemati cal foundations of the mentioned geophysical research fields combined with a corresponding understanding of the regional, but equally also the global, processes that govern the climate dynamics of our globe. The present book contains the material (and extensions of it) of the first semester; it gives an introduction into continuum thermomechanics, the methods of dimensional analysis and turbulence modeling. All these themes belong today to the every day working methods of not only environmental physicists but equally also those engineers, who are confronted with continuous systems of solid and fluid mechanics, soil mechanics and generally the mechanics and thermody namics of heterogeneous systems. The book addresses a broad spectrum of researchers, both at Universities and Research Laboratories who wish to fa miliarize themselves with the methods of "rational" continuum physics, and students from engineering and classical continuum physics.
There seems to be no other book that treats turbulence as a subfield of continuum mechanics Emphasizes the applications to geophysics and the environmental sciences Includes supplementary material: sn.pub/extras
The book unifies classical continuum mechanics and turbulence modeling, i.e. the same fundamental concepts are used to derive model equations for material behaviour and turbulence closure and complements these with methods of dimensional analysis. 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. Examples are mostly taken from environmental physics and geophysics.
Autor*in
Kolumban Hutter
Themen in »Continuum Methods of Physical Modeling«
Continuum Mechanics Dimensional Analysis Material Equations Mixtures Phase ransition Reynolds Stress Models fluid mechanics geophysics phase Transition thermodynamics turbulence
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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)
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