Shallow Water Hydrodynamics
eBook - PDF

Shallow Water Hydrodynamics

Mathematical Theory and Numerical Solution for a Two-dimensional System of Shallow-water Equations

  1. 449 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Shallow Water Hydrodynamics

Mathematical Theory and Numerical Solution for a Two-dimensional System of Shallow-water Equations

About this book

Within this monograph a comprehensive and systematic knowledge on shallow-water hydrodynamics is presented. A two-dimensional system of shallow-water equations is analyzed, including the mathematical and mechanical backgrounds, the properties of the system and its solution. Also featured is a new mathematical simulation of shallow-water flows by compressible plane flows of a special virtual perfect gas, as well as practical algorithms such as FDM, FEM, and FVM. Some of these algorithms have been utilized in solving the system, while others have been utilized in various applied fields. An emphasis has been placed on several classes of high-performance difference schemes and boundary procedures which have found wide uses recently for solving the Euler equations of gas dynamics in aeronautical and aerospatial engineering. This book is constructed so that it may serve as a handbook for practicians. It will be of interest to scientists, designers, teachers, postgraduates and professionals in hydraulic, marine, and environmental engineering; especially those involved in the mathematical modelling of shallow-water bodies.

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Information

Publisher
Elsevier Science
Year
1992
Print ISBN
9780444987518
eBook ISBN
9780080870939
Topic
Physical Sciences
Subtopic
Geophysics

Table of contents

  1. Front Cover
  2. Shallow Water Hydrodynamics: Mathematical Theory and Numerical Solution for a Two-dimensional System of Shallow Water Equations
  3. Copyright Page
  4. Contents
  5. Foreword
  6. Preface
  7. List of Symbols
  8. Abbreviations
  9. CHAPTER 1. BACKGROW IN MECHANICS
  10. CHAPTER 2. PROPERTIES OF 2-D SYSTEM OF SHALLOW-WATER EQUATIONS (2-D)
  11. CHAPTER 3. PROPERTIES OF THE SOLUTIONS OF 2-D SSWE
  12. CHAPTER 4. DISCONTINOUS SOLUTIONS OF SSWE
  13. CHAPTER 5. PRELIMINARY REVIEW OF FINITE DIFFERENCE METHODS
  14. CHAPTER 6. DIFFERENCE SCHEMES FOR 2-D SSWE
  15. CHAPTER 7. NUMERICAL SOLUTIONS USING FINITE ELEMENT METHODS
  16. CHAPTER 8. TECHNIQUES FOR THE IMPLEMENTATION OF ALGORITHMS
  17. CHAPTER 9. NEW DEVELOPMENTS OF DIFFERENCE SCHEMES FOR 2-D FIRST-ORDER HYPERBOLIC SYSTEMS OF EQUATIONS
  18. CHAPTER 10. STABILITY ANALYSIS AND BOUNDARY PROCEDURES
  19. CHAPTER 11. CONCLUDING REMARKS
  20. Index

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