Numerical Schemes With High Order of Accuracy for the Computation of Shock Waves

Yuan Xiangjiang; Zhou Heng

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Yuan Xiangjiang, Zhou Heng. Numerical Schemes With High Order of Accuracy for the Computation of Shock Waves[J]. Applied Mathematics and Mechanics, 2000, 21(5): 441-450.

Citation:

Yuan Xiangjiang, Zhou Heng. Numerical Schemes With High Order of Accuracy for the Computation of Shock Waves[J]. Applied Mathematics and Mechanics, 2000, 21(5): 441-450.

Citation:

Yuan Xiangjiang, Zhou Heng. Numerical Schemes With High Order of Accuracy for the Computation of Shock Waves[J]. Applied Mathematics and Mechanics, 2000, 21(5): 441-450.

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Numerical Schemes With High Order of Accuracy for the Computation of Shock Waves

Yuan Xiangjiang^1,2,
Zhou Heng¹

1.
Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;
2.
Research and Development Center of Aerodynamics of China, Miangyang, Sichuan 621000, P. R. China

Received Date: 1999-03-01
Rev Recd Date: 2000-02-15
Publish Date: 2000-05-15

Abstract

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.
- numerical method,
- computation of shock waves,
- upwind compact scheme

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References(7)

References

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