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mathematical theory and numerical solution for a two-dimensional system of shallow water equations
Distribution for the U.S.A. and Canada, Elsevier Science Pub. Co.
1 online resource (xiv, 434 pages) : illustrations
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.
Front Cover; Shallow Water Hydrodynamics: Mathematical Theory and Numerical Solution for a Two-dimensional System of Shallow Water Equations; Copyright Page; Foreword; Preface; List of Symbols; Abbreviations; Contents; CHAPTER 1. BACKGROW IN MECHANICS; CHAPTER 2. PROPERTIES OF 2-D SYSTEM OF SHALLOW-WATER EQUATIONS (2-D); CHAPTER 3. PROPERTIES OF THE SOLUTIONS OF 2-D SSWE; CHAPTER 4. DISCONTINOUS SOLUTIONS OF SSWE; CHAPTER 5. PRELIMINARY REVIEW OF FINITE DIFFERENCE METHODS; CHAPTER 6. DIFFERENCE SCHEMES FOR 2-D SSWE; CHAPTER 7. NUMERICAL SOLUTIONS USING FINITE ELEMENT METHODS.
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Includes bibliographical references and index.
Beijing, China : Water & Power Press ; Amsterdam : Elsevier ; New York, NY : Distribution for the U.S.A. and Canada, Elsevier Science Pub. Co., 1992
120383:125370 Elsevier Science & Technology