## Computational Fluid Dynamics Based on the Unified Coordinates"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

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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Computational Fluid Dynamics Based on the Unified Coordinates Wai-How Hui,Kun Xu No preview available - 2012 |