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Multicomponent Flow Modeling

  • Vincent Giovangigli
Book

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Vincent Giovangigli
    Pages 1-4
  3. Vincent Giovangigli
    Pages 5-36
  4. Vincent Giovangigli
    Pages 37-58
  5. Vincent Giovangigli
    Pages 59-95
  6. Vincent Giovangigli
    Pages 97-117
  7. Vincent Giovangigli
    Pages 119-156
  8. Vincent Giovangigli
    Pages 157-192
  9. Vincent Giovangigli
    Pages 193-220
  10. Vincent Giovangigli
    Pages 221-243
  11. Vincent Giovangigli
    Pages 245-264
  12. Vincent Giovangigli
    Pages 265-300
  13. Vincent Giovangigli
    Pages 301-315
  14. Back Matter
    Pages 317-321

About this book

Introduction

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.

Keywords

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

Authors and affiliations

  • Vincent Giovangigli
    • 1
  1. 1.Centre de Mathématiques AppliquéesÉcole PolytechniquePalaiseau CedexFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1580-6
  • Copyright Information Birkhäuser Boston 1999
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7202-1
  • Online ISBN 978-1-4612-1580-6
  • Series Print ISSN 2164-3679
  • Buy this book on publisher's site
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