High resolution spectral calculations of inviscid compressible flows

  • Steven A. Orszag
  • David Gottlieb
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 771)


The extension of spectral methods to inviscid compressible flows is considered. Techniques for high resolution treatment of shocks and contact discontinuities are introduced. Model problems that demonstrate resolution of moderate-strength shocks and contact discontinuities over one effective grid interval are given.


Spectral Method Contact Discontinuity Discontinuous Solution Spectral Equation Shock Discontinuity 
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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Steven A. Orszag
    • 1
  • David Gottlieb
    • 2
  1. 1.Department of MathematicsM.I.T.CambridgeUSA
  2. 2.Department of Applied MathematicsTel-Aviv UniversityTel-AvivIsrael

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