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Velocity gradient in Kelvin-Helmholtz instability for supersonic fluid

Ye Wen-Hua Fan Zheng-Feng Teng Ai-Ping Tao Ye-Sheng Lin Chuan-Dong Li Ying-Jun Wang Li-Feng

Velocity gradient in Kelvin-Helmholtz instability for supersonic fluid

Ye Wen-Hua, Fan Zheng-Feng, Teng Ai-Ping, Tao Ye-Sheng, Lin Chuan-Dong, Li Ying-Jun, Wang Li-Feng
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  • Received Date:  26 November 2008
  • Accepted Date:  30 December 2008
  • Published Online:  20 December 2009

Velocity gradient in Kelvin-Helmholtz instability for supersonic fluid

  • 1. (1)北京大学应用物理与技术研究中心,北京 100871;北京应用物理与计算数学研究所,北京 100088; (2)北京应用物理与计算数学研究所,北京 100088; (3)中国矿业大学(北京)力学与建筑工程学院和理学院,北京 100083; (4)中国矿业大学(北京)力学与建筑工程学院和理学院,北京 100083;北京应用物理与计算数学研究所,北京 100088

Abstract: Two-dimensional numerical calculations using weighted essentially non-oscillatory schemes (WENO) scheme were performed to study velocity gradient in the Kelvin-Helmholtz (KH) instability for supersonic fluid. It is found that the velocity gradient has a stabilization effect on the KH instability for supersonic fluid, and the linear growth rate empirical formula with velocity gradient stabilization effect is deduced. The empirical formula with velocity gradient stabilization effect agrees well will the simulation results. The sharp density contour is obtained, which indicates that the WENO finite difference scheme has good capturing ability in interface deformation. The evolution of KH vortex is influenced by the velocity gradient. When the density gradient is fixed, it is found that the larger the velocity gradient the smaller the transverse scale of the KH vortex.

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