计算物理 ›› 1991, Vol. 8 ›› Issue (1): 95-101.

• 论文 • 上一篇    下一篇

A LAX-WENDROFF TYPE SCHEME WITH PREDICTOR-CORRECTOR

Xu Guorong   

  1. Institute of Applied Physics and Computational Mathematics, Beijing
  • 出版日期:1991-03-25 发布日期:1991-03-25
  • 基金资助:
    Project Supported by the National Natural Science Fundation of China

A LAX-WENDROFF TYPE SCHEME WITH PREDICTOR-CORRECTOR

Xu Guorong   

  1. Institute of Applied Physics and Computational Mathematics. Beijing
  • Online:1991-03-25 Published:1991-03-25
  • Supported by:
    Project Supported by the National Natural Science Fundation of China

摘要: In this paper a Lax-Wendroff type scheme with predictor-corrector is presented for solving the hyperbolic equations of fluid flow. The predictor solutions without introducing nonphysical oscillation are obtained by the method of flux vector splitting. The numerical flux of the corrector step is an anti-diffusive term, on which contraints are imposed to decrease the oscillation. Numerical experiments are presented to illustrate the performance of our proposed scheme.

Abstract: In this paper a Lax-Wendroff type scheme with predictor-corrector is presented for solving the hyperbolic equations of fluid flow. The predictor solutions without introducing nonphysical oscillation are obtained by the method of flux vector splitting. The numerical flux of the corrector step is an anti-diffusive term, on which contraints are imposed to decrease the oscillation. Numerical experiments are presented to illustrate the performance of our proposed scheme.