Overview
Introduces Lagrangian system and presents its mathematical properties
Distinguishes the advantages and disadvantages of Lagrangian and Eulerian systems
Provides a foundation for the development of a unified method with arbitrary mesh velocity
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
About this book
"Computational Fluid Dynamics Based on the Unified Coordinates" reviews the relative advantages and drawbacks of Eulerian and Lagrangian coordinates as well as the Arbitrary Lagrangian-Eulerian (ALE) and various moving mesh methods in Computational Fluid Dynamics (CFD) for one- and multi-dimensional flows. It then systematically introduces the unified coordinate approach to CFD, illustrated with numerous examples and comparisons to clarify its relation with existing approaches. The book is intended for researchers, graduate students and practitioners in the field of Computational Fluid Dynamics.
Emeritus Professor Wai-Hou Hui and Professor Kun Xu both work at the Department of Mathematics of the Hong Kong University of Science & Technology, Hong Kong, China.
Reviews
From the reviews:
“The book is a good and very helpful description of the UC system, clearly organized and well written and illustrated. … it provides a comprehensive view of the benefits of using UCs in computational fluid dynamics. It is a useful textbook for graduate students or advanced undergraduates who are studying the mathematical and numerical models and methods in hydrodynamics. There is also much to find, learn, and enjoy in this book for experts in hydrodynamics, applied mathematicians and other researchers interested in this area.” (Yuri N. Skiba, Mathematical Reviews, December, 2013)Authors and Affiliations
Bibliographic Information
Book Title: Computational Fluid Dynamics Based on the Unified Coordinates
Authors: Wai-How Hui, Kun Xu
DOI: https://doi.org/10.1007/978-3-642-25896-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Science Press, Beijing and Springer Berlin Heidelberg 2012
eBook ISBN: 978-3-642-25896-1Published: 09 December 2012
Edition Number: 1
Number of Pages: IX, 189
Number of Illustrations: 65 b/w illustrations, 10 illustrations in colour
Additional Information: Jointly published with Science Press Ltd
Topics: Computational Mathematics and Numerical Analysis, Numerical and Computational Physics, Simulation, Numeric Computing, Theoretical, Mathematical and Computational Physics, Fluid- and Aerodynamics