Compact differencing schemes for advective problems

  • Richard S. Hirsh
  • Ralph E. Ferguson
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 141)


Compact differencing techniques have been shown to be applicable to simple first order advection equations. A second-order accurate compact upwind scheme has been derived which is identically equivalent to Keller's box method. Two fourth order compact analogs of Lax-Wendroff methods have also been shown. The accuracy of any of these compact methods is superior to a standard second-order method, even for one quarter of the nodes in the case of the fourth-order schemes.


Upwind Scheme Compact Scheme Order Upwind Compact Method Compact Difference Scheme 
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Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Richard S. Hirsh
    • 1
  • Ralph E. Ferguson
    • 1
  1. 1.JAYCORDel Mar

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