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A Compact Higher Order Finite Difference Method for the Incompressible Navier–Stokes Equations

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Abstract

A numerical method based on compact fourth order finite difference approximations is used for the solution of the incompressible Navier–Stokes equations. Our method is implemented for two dimensional, curvilinear coordinates on orthogonal, staggered grids. Two numerical experiments confirm the theoretically expected order of accuracy.

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Authors and Affiliations

  1. Department of Mechanics, KTH, Stockholm, Sweden

    Arnim Brüger

  2. Department of Scientific Computing, Uppsala University, Sweden

    Jonas Nilsson & Wendy Kress

Authors
  1. Arnim Brüger
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  2. Jonas Nilsson
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  3. Wendy Kress
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Brüger, A., Nilsson, J. & Kress, W. A Compact Higher Order Finite Difference Method for the Incompressible Navier–Stokes Equations. Journal of Scientific Computing 17, 551–560 (2002). https://doi.org/10.1023/A:1015166529060

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  • DOI: https://doi.org/10.1023/A:1015166529060

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