Solving Hyperbolic Equations with Finite Volume Methods

  • M. Elena Vázquez-Cendón

Part of the UNITEXT book series (UNITEXT, volume 90)

Also part of the La Matematica per il 3+2 book sub series (UNITEXTMAT, volume 90)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Basic Concepts and Examples of Environmental and Industrial Interest

    1. Front Matter
      Pages 1-1
    2. M. Elena Vázquez-Cendón
      Pages 3-18
    3. M. Elena Vázquez-Cendón
      Pages 19-33
    4. M. Elena Vázquez-Cendón
      Pages 53-54
  3. Finite Volume Methods Applied to the Hyperbolic Conservation Laws

    1. Front Matter
      Pages 55-55
  4. MATLAB Codes for the Studied Methods

    1. Front Matter
      Pages 129-129
    2. M. Elena Vázquez-Cendón
      Pages 131-147
    3. M. Elena Vázquez-Cendón
      Pages 149-178
    4. M. Elena Vázquez-Cendón
      Pages 179-181
  5. Back Matter
    Pages 183-188

About this book

Introduction

Finite volume methods are used in numerous applications and by a broad multidisciplinary scientific community. The book communicates this important tool to students, researchers in training and academics involved in the training of students in different science and technology fields. The selection of content is based on the author’s experience giving PhD and master courses in different universities. In the book the introduction of new concepts and numerical methods go together with simple exercises, examples and applications that contribute to reinforce them. In addition, some of them involve the execution of MATLAB codes. The author promotes an understanding of common terminology with a balance between mathematical rigor and physical intuition that characterizes the origin of the methods. This book aims to be a first contact with finite volume methods. Once readers have studied it, they will be able to follow more specific bibliographical references and use commercial programs or open source software within the framework of Computational Fluid Dynamics (CFD).

Keywords

Finite volume method Godunov mathod Hyperbolic problems Riemann solvers Upwind schemes

Authors and affiliations

  • M. Elena Vázquez-Cendón
    • 1
  1. 1.Department of Applied MathematicsUniversity of Santiago de CompostelaSantiago de CompostelaSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-14784-0
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-14783-3
  • Online ISBN 978-3-319-14784-0
  • Series Print ISSN 2038-5714
  • About this book
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