CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1993, Vol. 10 ›› Issue (2): 137-145.

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A CLASS OF ESSENTIALLY NON-OSCILLATORY SCHEMES FOR HYPERBOLIC CONSERVATION LAWS

Xu Shurong, Li Wensheng   

  1. ZhongShan University, GuangZhou 510275
  • Received:1992-05-23 Revised:1992-10-15 Online:1993-06-25 Published:1993-06-25

Abstract: In this paper, some methods to construct the numerical flux in ENO Essentially Non-Oscillatory schemes for conservative difference equations, which are based on the idea of adaptive stencil and reconstruction, are presented. Some numerical results are also given.

Key words: conservation law, adaptive Newton interpolation, reconstruction, Runge-Kutta time discretion, ENO(essentially non-oscillatory)