Multicomponent Flow Modeling

1. Front Matter

   Pages i-xvi

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2. Introduction

   • Vincent Giovangigli

   Pages 1-4

3. Fundamental Equations

   • Vincent Giovangigli

   Pages 5-36

4. Approximate and Simplified Models

   • Vincent Giovangigli

   Pages 37-58

5. Derivation from the Kinetic Theory

   • Vincent Giovangigli

   Pages 59-95

6. Transport Coefficients

   • Vincent Giovangigli

   Pages 97-117

7. Mathematics of Thermochemistry

   • Vincent Giovangigli

   Pages 119-156

8. Mathematics of Transport Coefficients

   • Vincent Giovangigli

   Pages 157-192

9. Symmetrization

   • Vincent Giovangigli

   Pages 193-220

10. Asymptotic Stability

    • Vincent Giovangigli

    Pages 221-243

11. Chemical Equilibrium Flows

    • Vincent Giovangigli

    Pages 245-264

12. Anchored Waves

    • Vincent Giovangigli

    Pages 265-300

13. Numerical Simulations

    • Vincent Giovangigli

    Pages 301-315

14. Back Matter

    Pages 317-321

    PDF

The goal of this is book to give a detailed presentation of multicomponent flow models and to investigate the mathematical structure and properties of the resulting system of partial differential equations. These developments are also illustrated by simulating numerically a typical laminar flame. Our aim in the chapters is to treat the general situation of multicomponent flows, taking into account complex chemistry and detailed transport phe­ nomena. In this book, we have adopted an interdisciplinary approach that en­ compasses a physical, mathematical, and numerical point of view. In par­ ticular, the links between molecular models, macroscopic models, mathe­ matical structure, and mathematical properties are emphasized. We also often mention flame models since combustion is an excellent prototype of multicomponent flow. This book still does not pretend to be a complete survey of existing models and related mathematical results. In particular, many subjects like multi phase-flows , turbulence modeling, specific applications, porous me­ dia, biological models, or magneto-hydrodynamics are not covered. We rather emphasize the fundamental modeling of multicomponent gaseous flows and the qualitative properties of the resulting systems of partial dif­ ferential equations. Part of this book was taught at the post-graduate level at the Uni­ versity of Paris, the University of Versailles, and at Ecole Poly technique in 1998-1999 to students of applied mathematics.

• Dissipation
• Maxwell's equations
• Operator
• RSI
• Simulation
• algorithm
• algorithms
• applied mathematics
• geometry
• linear optimization
• mechanical engineering
• model
• modeling
• partial differential equation
• thermodynamics

"This book (written with originality by a recognized expert actively working in the title area) can be considered as an interdisciplinary presentation of multicomponent flow models, their mathematical properties, and selected numerical simulations…The book is well organized, clearly written, and can serve as a very useful reference book for specialists (circa 300 contemporary references) and as a good introduction to the subject for senior and graduate-level students in applied mathematics."

–Zentralblatt Math

• Centre de Mathématiques Appliquées, École Polytechnique, Palaiseau Cedex, France

  Vincent Giovangigli

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