Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (5): 489-500.

• Articles •     Next Articles

NUMERICAL SCHEMES WITH HIGH ORDER OF ACCURACY FOR THE COMPUTATION OF SHOCK WAVES

Yuan Xiangjiang1,2, Zhou Heng1   

  1. 1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;
    2. Research and Development Center of Aerodynamics of China, Mianyang 621000, P. R. China
  • Received:1999-03-01 Revised:2000-02-15 Online:2000-05-18 Published:2000-05-18
  • Supported by:
    the National Climbing Project

Abstract: High order accurate scheme is highly desirable for flow computation with shocks. After analysis has been made for the reason of the generation of non-physical oscillations around the shock in numerical computations, a third-order, upwind biased, shock capturing scheme was proposed. Also, a new shock fitting method, called pseudo shock fitting method, was suggested, which in principle can be with any order of accuracy. Test cases for one dimensional flows show that the new method is very satisfactory.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals