Introduction

Wai-How Hui () and Kun Xu ()
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Wai-How Hui: Hong Kong University of Science and Technology, Mathematics Department
Kun Xu: Hong Kong University of Science and Technology, Mathematics Department

Chapter Chapter 1 in Computational Fluid Dynamics Based on the Unified Coordinates, 2012, pp 1-8 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-3-642-25896-1_1

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