Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (3): 349-360.doi: https://doi.org/10.1007/s10483-011-1420-6

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Shock calculation based on second viscosity using local differential quadrature method

赵勇,宗智,李章锐   

  1. School of Naval Architecture, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, Liaoning Province, P. R. China
  • 收稿日期:2010-05-14 出版日期:2011-02-28 发布日期:2011-03-01

Shock calculation based on second viscosity using local differential quadrature method

ZHAO Yong, ZONG Zhi, LI Zhang-Rui   

  1. School of Naval Architecture, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, Liaoning Province, P. R. China
  • Received:2010-05-14 Online:2011-02-28 Published:2011-03-01

摘要: Based on the second viscosity, the local differential quadrature (LDQ) method is applied to solve shock tube problems. It is shown that it is necessary to consider the second viscosity to calculate shocks and to simulate shock tubes based on the viscosity model. The roles of the shear viscous stress and the second viscous stress are checked. The results show that the viscosity model combined with the LDQ method can capture the main characteristics of shocks, and this technique is objective and simple.

Abstract: Based on the second viscosity, the local differential quadrature (LDQ) method is applied to solve shock tube problems. It is shown that it is necessary to consider the second viscosity to calculate shocks and to simulate shock tubes based on the viscosity model. The roles of the shear viscous stress and the second viscous stress are checked. The results show that the viscosity model combined with the LDQ method can capture the main characteristics of shocks, and this technique is objective and simple.

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