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Modification of a Cross Type Scheme to Eliminate a “Chessboard” Error

  • Yu. V. Yanilkin,
  • O. O. Toporova,
  • A. M. Erofeev

摘要

Abstract

This paper shows that the cross-type difference schemes used to approximate gas dynamic equations have an error caused by the “chessboard” distribution of thermodynamic quantities. A modification of the two-dimensional (2D) scheme is proposed to eliminate this error. The results of test computations demonstrating the advantages of the new scheme are presented.