Computational Fluid Dynamics Based on the Unified Coordinates

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Springer Science & Business Media, Dec 9, 2012 - Mathematics - 189 pages
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"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.

 

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Contents

Chapter 1 Introduction
1
Chapter 2 Derivation of Conservation Law Equations
9
Chapter 3 Review of Eulerian Computation for 1D Inviscid Flow
19
Chapter 4 1D Flow Computation Using the Unified Coordinates
43
Chapter 5 Comments on Current Methods for MultiDimensional Flow Computation
69
Chapter 6 The Unified Coordinates Formulation of CFD
78
Chapter 7 Properties of the Unified Coordinates
87
Chapter 8 Lagrangian Gas Dynamics
96
Chapter 9 Steady 2D and 3D Supersonic Flow
101
Chapter 10 Unsteady 2D and 3D Flow Computation
117
Chapter 11 Viscous Flow Computation Using NavierStokes Equations
126
Chapter 12 Applications of the Unified Coordinates to Kinetic Theory
147
Chapter 13 Summary
170
Appendix A Riemann Problem for 1D Flow in the Unified Coordinate
173
Appendix B Computer Code for 1D Flow in the Unified Coordinate
177
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