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An implicit-explicit upwind algorithm for the parabolized Navier-Stokes equations

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Abstract

In this paper, a second-order implicit-explicit upwind algorithm has been developed for three-dimensional Parabolized Navier-Stokes (PNS) equations. The agreement between the results of the new upwind algorithm and those of the implicit upwind algorithm and its ability in marching a long distance along the streamwise direction have been shown for the supersonic viscous flow past a sphere-cone body. The CPU time is greatly reduced.

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Authors and Affiliations

  1. Computing Center, Academia Sinica, 100080, Beijing, China

    Liu Tiegang & Wang Ruquan

  2. Department of Mathematics, Hunan Normal University, 410081, Changsha, China

    Song Songhe

Authors
  1. Liu Tiegang
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  2. Wang Ruquan
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  3. Song Songhe
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The project supported by the National Natural Science Foundation of China

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Tiegang, L., Ruquan, W. & Songhe, S. An implicit-explicit upwind algorithm for the parabolized Navier-Stokes equations. Acta Mech Sinica 10, 129–135 (1994). https://doi.org/10.1007/BF02486583

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  • DOI: https://doi.org/10.1007/BF02486583

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