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Validation and verification of Courant number insensitive CE/SE method for transient viscous flow simulations

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  • Venkatachari, Balaji Shankar
  • Cheng, Gary C.
  • Soni, Bharat K.
  • Chang, S.C.

Abstract

In this paper, we report an extension of the space–time conservation element–solution element (CE/SE) framework-based viscous flow solver. With the accuracy of solution obtained through the use of a CE/SE-based solver closely related to the CFL number disparity across the mesh, a new formulation to make the solution insensitive to CFL number disparity is herein presented. The capability of the developed solver is then validated through simulation of 2D problems such as driven cavity, external flow over a flat plate, laminar flow over a square cylinder, etc. Investigations are also conducted to verify the sensitivity of results to grid spacing and mesh structure.

Suggested Citation

  • Venkatachari, Balaji Shankar & Cheng, Gary C. & Soni, Bharat K. & Chang, S.C., 2008. "Validation and verification of Courant number insensitive CE/SE method for transient viscous flow simulations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(5), pages 653-670.
    • Handle: RePEc:eee:matcom:v:78:y:2008:i:5:p:653-670
    DOI: 10.1016/j.matcom.2008.04.007
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    Keywords

    CE/SE; CFD; Unsteady flows;
    All these keywords.

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