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Introduction to High-Order Approximation Methods for Computational Fluid Dynamics

  • R. Peyret
Part of the International Centre for Mechanical Sciences book series (CISM, volume 395)

Abstract

These lectures are devoted to a presentation and a discussion of high-order approximation methods currently used in Computational Fluid Dynamics. The first part considers the spatial approximation: Classical and Hermitian compact finite-difference, finite-volume and spectral methods. In particular, it is shown how approximation formulas can be derived from suitable interpolating polynomials. The second part is devoted to time-discretization methods: multistep methods (Adams-Bashforth and BDF) and one-step methods (Runge-Kutta). The construction and the stability of several high-order time-discretization schemes are addressed.

Keywords

Computational Fluid Dynamics Truncation Error Multistep Method Spectral Element Method Nonuniform Mesh 
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

© Springer-Verlag Wien 2000

Authors and Affiliations

  • R. Peyret
    • 1
    • 2
  1. 1.CNRSNice-Sophia Antipolis UniversityNiceFrance
  2. 2.INRIASophia AntipolisNiceFrance

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