Shock Calculation Based on Second Viscosity Using Localized Differential Quadrature Method

ZHAO Yong; ZONG Zhi; LI Zhang-rui

doi:10.3879/j.issn.1000-0887.2011.03.009

Volume 32 Issue 3

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ZHAO Yong, ZONG Zhi, LI Zhang-rui. Shock Calculation Based on Second Viscosity Using Localized Differential Quadrature Method[J]. Applied Mathematics and Mechanics, 2011, 32(3): 333-343. doi: 10.3879/j.issn.1000-0887.2011.03.009

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Shock Calculation Based on Second Viscosity Using Localized Differential Quadrature Method

doi: 10.3879/j.issn.1000-0887.2011.03.009

School of Naval Architecture, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory of Structural Analysis For Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, P. R. China

Received Date: 2010-05-18
Rev Recd Date: 2011-02-16
Publish Date: 2011-03-15

Abstract

Abstract

Based on the second viscosity,localized differential quadrature (LDQ) method was applied to solve shock tube problems.Firstly,the necessity was explained to consider the second viscosity to calculate shocks,then shock tubes based on the viscosity model were simulated,and finally,the roles of shear viscous stress and the second viscous stress were checked.The results show that the viscosity model combined with LDQ method can capture the main characters of shock and have the advantages of objectivity and simplicity.
- shock,
- second viscosity,
- Stokes’ assumption,
- LDQ,
- artificial viscosity

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References(21)

References

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