Continuum Methods of Physical Modeling

1. Front Matter

   Pages I-XV

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2. Introduction

   1. Introduction

      • Kolumban Hutter, Klaus Jöhnk

      Pages 1-6

3. Continuum Mechanics

   1. Front Matter

      Pages 7-7

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   2. Basic Kinematics

      • Kolumban Hutter, Klaus Jöhnk

      Pages 9-50

   3. Balance Equations

      • Kolumban Hutter, Klaus Jöhnk

      Pages 51-92

   4. Jump Conditions

      • Kolumban Hutter, Klaus Jöhnk

      Pages 93-114

   5. Moving Reference Systems

      • Kolumban Hutter, Klaus Jöhnk

      Pages 115-138

   6. Material Equations

      • Kolumban Hutter, Klaus Jöhnk

      Pages 139-241

   7. Phase Transitions in Viscous Heat Conducting Compressible Fluids

      • Kolumban Hutter, Klaus Jöhnk

      Pages 243-252

   8. Theory of Mixtures

      • Kolumban Hutter, Klaus Jöhnk

      Pages 253-335

4. Dimensional Analysis

   1. Front Matter

      Pages 337-337

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   2. Theoretical Foundation of Dimensional Analysis

      • Kolumban Hutter, Klaus Jöhnk

      Pages 339-392

   3. Similitude and Model Experiments

      • Kolumban Hutter, Klaus Jöhnk

      Pages 393-419

5. Turbulence

   1. Front Matter

      Pages 421-421

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   2. Fundamental Concepts of Turbulence

      • Kolumban Hutter, Klaus Jöhnk

      Pages 423-482

   3. k-ε Model for Density Preserving and Boussinesq Fluids

      • Kolumban Hutter, Klaus Jöhnk

      Pages 483-522

   4. Thermodynamic Formulation of Turbulent Closure Relations of First Order Level — Algebraic Reynolds Stress Models

      • Kolumban Hutter, Klaus Jöhnk

      Pages 523-562

   5. Application of the k-ε Model to the Description of the Diurnal and Seasonal Temperature Variation in Lakes

      • Kolumban Hutter, Klaus Jöhnk

      Pages 563-601

6. Back Matter

   Pages 603-636

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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.

• Continuum Mechanics
• Dimensional Analysis
• Material Equations
• Mixtures
• Phase ransition
• Reynolds Stress Models
• fluid mechanics
• geophysics
• phase Transition
• thermodynamics
• turbulence

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)

 

• Institut für Mechanik, Technische Universität Darmstadt, Darmstadt, Germany

  Kolumban Hutter

• FNWI/IBED, University of Amsterdam, Amsterdam, The Netherlands

  Klaus Jöhnk

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