Numerical simulation about the multi-component mixture model under spherical coordinate system

WU Zongduo; ZHAO Yong; YAN Jin; ZONG Zhi; GAO Yun

doi:10.11883/bzycj-2018-0075

Volume 39 Issue 5

May 2019

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WU Zongduo, ZHAO Yong, YAN Jin, ZONG Zhi, GAO Yun. Numerical simulation about the multi-component mixture model under spherical coordinate system[J]. Explosion And Shock Waves, 2019, 39(5): 054204. doi: 10.11883/bzycj-2018-0075

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WU Zongduo, ZHAO Yong, YAN Jin, ZONG Zhi, GAO Yun. Numerical simulation about the multi-component mixture model under spherical coordinate system[J]. Explosion And Shock Waves, 2019, 39(5): 054204. doi: 10.11883/bzycj-2018-0075

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Numerical simulation about the multi-component mixture model under spherical coordinate system

doi: 10.11883/bzycj-2018-0075

WU Zongduo^1
,,
ZHAO Yong^{2
,
,},
YAN Jin¹,
ZONG Zhi³,
GAO Yun⁴

1.
College of Ocean Engineering, Guangdong Ocean University, Zhanjiang 524088, Guangdong, China
2.
Transportation Engineering postdoctoral research station, Dalian Maritime University, Dalian 116026, Liaoning, China
3.
Department of Naval Architecture, Dalian University of Technology, Dalian 116024, Liaoning, China
4.
State Key Laboratory of Oil and Gas Reservoir Gelogy and Exploration, Southwest Petroleum University,
Chengdu 610500, Sichuan, China

Received Date: 2018-03-12
Rev Recd Date: 2018-06-27
Publish Date: 2019-05-01

Abstract

Abstract

The aim of the paper is to extend the Mie-Grüneisen mixture model to spherical coordinate. As the multi-component mixture model is applied to the Riemann problem under spherical coordinate, many problems need to be taken into account: weak equilibrium, singular point treatment, complex equations of states and so on. In the article, the research work starts from the Mie-Grüneisen mixture model, then extend to the revision and modification about many details, include: revision of the thermo dynamical parameters at interface, deduction of new transport equation by mass fraction, weighting evaluation of partial derivatives by mass fraction, definition of physical parameters by the adjacent grid for singular point and other so on. The seriously modified numerical model, can not only obtain non-oscillation solutions, but also catch the positions of shock wave and interface clearly. In addition, the modified mass fraction model, can get more accurate results than the original model with mass fraction.
- multi-component,
- mixture model,
- Mie-Grüneisen equation,
- spherical coordinate

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References(20)

References

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