Numerical computation of shock wave using wavelet methods

XU Zhiyu; TAN Yonghua; LI Xiaoming

doi:10.11883/bzycj-2018-0467

Volume 40 Issue 1

Jan. 2020

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XU Zhiyu, TAN Yonghua, LI Xiaoming. Numerical computation of shock wave using wavelet methods[J]. Explosion And Shock Waves, 2020, 40(1): 014201. doi: 10.11883/bzycj-2018-0467

Citation:

XU Zhiyu, TAN Yonghua, LI Xiaoming. Numerical computation of shock wave using wavelet methods[J]. Explosion And Shock Waves, 2020, 40(1): 014201. doi: 10.11883/bzycj-2018-0467

XU Zhiyu, TAN Yonghua, LI Xiaoming. Numerical computation of shock wave using wavelet methods[J]. Explosion And Shock Waves, 2020, 40(1): 014201. doi: 10.11883/bzycj-2018-0467

Citation:

XU Zhiyu, TAN Yonghua, LI Xiaoming. Numerical computation of shock wave using wavelet methods[J]. Explosion And Shock Waves, 2020, 40(1): 014201. doi: 10.11883/bzycj-2018-0467

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Numerical computation of shock wave using wavelet methods

doi: 10.11883/bzycj-2018-0467

XU Zhiyu^{1, 2
,},
TAN Yonghua^{2, 3
,
,},
LI Xiaoming¹

1.
Xi’an Aerospace Propulsion Institute, Xi’an 710100, Shaanxi, China
2.
Science and Technology on Liquid Rocket Engine Laboratory, Xi’an Aerospace Propulsion Institute, Xi’an 710100, Shaanxi, China
3.
Academy of Aerospace Propulsion Technology, Xi’an 710100, Shaanxi, China

Received Date: 2018-11-20
Rev Recd Date: 2019-01-22
Publish Date: 2020-01-01

Abstract

Abstract

A simple and stable wavelet method, which is based on adaptive wavelet collocation methods and artificial viscosity techniques, was proposed to compute shock waves. Dynamic multiscale grids generated by wavelet threshold filtering adaptive to the flow field were used. The shock waves can be checked out by the shock locator functions with power formula, which are constructed through using the magnitudes of the wavelet coefficients on the finest level in the density fields. Then, the artificial viscous terms including viscosity and shock locator functions strictly control the magnitudes and distributions of the artificial viscosity according to the gradients in the flow field. A strong and a weak shock tubes were computed, which shows that the method can accurately capture shock fronts and effectively restrain numerical oscillations. By the way, it is easy to manipulate, high of resolution and small of computational costs.
- shock wave,
- adaptive wavelet collocation method,
- numerical oscillation,
- artificial viscosity

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References(20)

References

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