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Finite Volume Formulation of Compact Upwind and Central Schemes with Artificial Selective Damping

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Abstract

The present paper describes the use of compact upwind and compact central schemes in a Finite Volume formulation with an extension towards arbitrary meshes. The different schemes are analyzed and tested on several numerical experiments. A new formulation of artificial selective damping that is applicable on non-uniform Cartesian meshes is presented. Results are shown for a 1D advection equation, a 2D rotating Gaussian pulse and a subsonic inviscid vortical flow on uniform and non-uniform meshes and for a non-linear acoustic pulse.

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Authors and Affiliations

  1. Department of Fluid Mechanics, Vrije Universiteit Brussel, Belgium

    Tim Broeckhoven, Sergey Smirnov, Jan Ramboer & Chris Lacor

Authors
  1. Tim Broeckhoven
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  2. Sergey Smirnov
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  3. Jan Ramboer
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  4. Chris Lacor
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Broeckhoven, T., Smirnov, S., Ramboer, J. et al. Finite Volume Formulation of Compact Upwind and Central Schemes with Artificial Selective Damping. Journal of Scientific Computing 21, 341–367 (2004). https://doi.org/10.1007/s10915-004-1321-6

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  • DOI: https://doi.org/10.1007/s10915-004-1321-6

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