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Construction of a Class of Symmetric TVD Schemes

  • H. C. Yee
Conference paper
Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 2)

Abstract

A one-parameter family of second-order explicit and implicit total variation diminishing (TVD) schemes is reformulated so that a simplier and wider group of limiters is included. The resulting scheme can be viewed as a symmetrical algorithm with a variety of numerical dissipation terms that are designed for weak solutions of hyperbolic problems. This is a generalization of Roe and Davis’s recent works to a wider class of symmetric schemes other than Lax-Wendroff. The main properties of the present class of schemes are that they can be implicit, and, when steady-state calculations are sought, the numerical solution is independent of the time step.

Keywords

Computational Fluid Dynamics Total Variation Diminish Numerical Flux Flux Limiter Symmetric 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

© Springer-Verlag New York Inc. 1986

Authors and Affiliations

  • H. C. Yee
    • 1
    • 2
  1. 1.MS 202A-1NASA Ames Research CenterMoffett FieldUSA
  2. 2.Computational Fluid Dynamics BranchUSA

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