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This book 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 multidimensional flows. It then systematically introduces the unified coordinate approach to CFD, illustrated with numerou examples and comparisons to clarify its relation with existing approaches. The book is intended for researchers and practitioners in the field of Computational Fluid Dynamics.
Emeritus Professor Wai-How Hui and Professor Kun Xu both work at the Department ofMathematics of the Hong Kong University of Science & Technology, China. 

Chapter 1. Introduction
Chapter 2. Derivation of Conservation Law Equations
Chapter 3. Review of Eulerian Computation for 1-D Inviscid Flow
Chapter 4. I-D Flow Computation Using the Unified Coordinates
Chapter 5. Comments on Current Methods for Multi-Dimensional Flow Computation
Chapter 6. The Unified Coordinates Formulation of CFD
Chapter 7. Properties of the Unified Coordinates
Chapter 8. Lagrangian Gas Dynamics
Chapter 9. Steady 2-D and 3-D Supersonic Flow
Chapter 10 Unsteady 2-D and 3-D Flow Computation
Chapter 11 Viscous Flow Computation Using Navier-Stokes Equations
Chapter 12 Applications of the Unified Coordinates to Kinetic Theory
Chapter 13 Summary
Appendix A Riemann Problem for 1-D Flow in the Unified Coordinate
Appendix B Computer Code for 1-D Flow in the Unified Coordinate

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