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Abstract

The great majority of research work in CFD, especially those in the first several decades, treats it as numerical solution to nonlinear hyperbolic partial differential equations (PDEs). For a good summary, see Hirsch[1]. Most part of this monograph also treats CFD as numerical solution to nonlinear hyperbolic PDEs. But it is concerned mainly about the role of coordinates in CFD and, in particular, will base all CFD study on the newly discovered unified coordinates. To put it in perspective we shall first give an overview of the major developments of CFD as numerical solution to the initial value problem of nonlinear hyperbolic PDEs as follows.

Keywords

Computational Fluid Dynamics Riemann Problem Contact Discontinuity Lagrangian System Godunov Scheme 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Science Press Beijing and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Wai-How Hui
    • 1
  • Kun Xu
    • 1
  1. 1.Mathematics DepartmentHong Kong University of Science and TechnologyChina

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