High Resolution Nonoscillatory Central Difference Schemes for the 2D Euler Equations via Artificial Compression

  • K.-A. Lie
  • S. Noelle
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 1)


We suggest to augment second-order, nonoscillatory, central difference schemes with Harten’s artificial compression method (ACM) to sharpen the resolution of linear fields. ACM employs a partial characteristic decomposition to single out the linear fields, for which a steeper reconstruction is applied. The remarkable power of this technique is demonstrated for three test problems for the Euler equations from gas dynamics, and its dangers are pointed out.


Contact Discontinuity Riemann Solver Central Difference Scheme Linear Field Upwind Method 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • K.-A. Lie
    • 1
  • S. Noelle
    • 2
  1. 1.SINTEF Applied MathematicsBlindern, OsloNorway
  2. 2.Institut für Geometrie und Praktische MathematikRWTH AachenAachenGermany

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