Derivation of Conservation Law Equations -- Review of Eulerian Computation for One-dimensional Flow -- One-Dimensional Flow Computation Using the Unified Coordinates -- Comments on Current Methods for Multi-Dimensional Flow Computation -- The Unified Coordinates Formulation of CFD -- Properties of the Unified Coordinates -- Lagrangian Gas Dynamics -- Steady 2-D and 3-D Supersonic Flow -- Unsteady 2-D and 3-D Flow Computation -- Viscous Flow Computation -- Applications of the Unified Coordinates to Kinetic Theory.

"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 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, China.