Simulation of Kelvin-Helmholtz instability with high-order finite difference method

wang lifeng; ye wenhua; fan zhengfeng; li yingjun

Volume 21 Issue 03

Mar. 2009

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Article Navigation > High Power Laser and Particle Beams > 2009 > 21(03): 0-

song sheng-yi, qiu xu, wang wen-dou, et al. Circuit model for magnetically insulated transmission line[J]. High Power Laser and Particle Beams, 2005, 17.

Citation:

wang lifeng, ye wenhua, fan zhengfeng, et al. Simulation of Kelvin-Helmholtz instability with high-order finite difference method[J]. High Power Laser and Particle Beams, 2009, 21.

song sheng-yi, qiu xu, wang wen-dou, et al. Circuit model for magnetically insulated transmission line[J]. High Power Laser and Particle Beams, 2005, 17.

Citation:

wang lifeng, ye wenhua, fan zhengfeng, et al. Simulation of Kelvin-Helmholtz instability with high-order finite difference method[J]. High Power Laser and Particle Beams, 2009, 21.

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Simulation of Kelvin-Helmholtz instability with high-order finite difference method

1.
School of Mechanics and Civil Engineering,China University of Mining and Technology,Beijing 100083,China;
2.
Department of Physics,Zhejiang University,Hangzhou 310028,China;
3.
Center for Applied Physics and Technology,Peking University,Beijing 100871,China;
4.
Laboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,Beijing 100088,China

Publish Date: 2009-03-15

Abstract

Abstract

The Kelvin-Helmholtz instability in the inviscid fluid was simulated by applying high-order weighted essentially non-oscillatory(WENO) scheme to solve the two-dimensional conservative Euler equations. The simulation adopted the periodic boundary condition for the velocity shear direction and the fringe method as the outflow boundary condition for the disturbance growth direction, where an unstable wavelength contained 64 grids. The linear growth rate of the disturbance amplitude derived from this numerical simulation agrees well with that from the linear stability analysis, which proves the validity and accuracy of the simulation method. The method can provide clear density contours, showing a good capturing ability of interface deformation.
- kelvin-helmholtz instability,
- high-order finite difference method,
- weno scheme,
- euler equation

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