School of Aerospace, Mechanical and Mechatronic Engineering, University of Sydney, Camperdown, New South Wales 2006, Australia.
Phys Rev E. 2017 Jan;95(1-1):013104. doi: 10.1103/PhysRevE.95.013104. Epub 2017 Jan 9.
The Reynolds number effects on the nonlinear growth rates of the Richtmyer-Meshkov instability are investigated using two-dimensional numerical simulations. A decrease in Reynolds number gives an increased time to reach nonlinear saturation, with Reynolds number effects only significant in the range Re<256. Within this range there is a sharp change in instability properties. The bubble and spike amplitudes move towards equal size at lower Reynolds numbers and the bubble velocities decay faster than predicted by Sohn's model [S.-I. Sohn, Phys. Rev. E 80, 055302 (2009)PLEEE81539-375510.1103/PhysRevE.80.055302]. Predicted amplitudes show reasonable agreement with the existing theory of Carles and Popinet [P. Carles and S. Popinet, Phys. Fluids Lett. 13, 1833 (2001)10.1063/1.1377863; Eur. J. Mech. B 21, 511 (2002)EJBFEV0997-754610.1016/S0997-7546(02)01199-8] and Mikaelian [K. O. Mikaelian, Phys. Rev. E 47, 375 (1993)1063-651X10.1103/PhysRevE.47.375; K. O. Mikaelian, Phys. Rev. E 87, 031003 (2013)PLEEE81539-375510.1103/PhysRevE.87.031003], with the former being the closest match to the current computations.
使用二维数值模拟研究了雷诺数对 Richtmyer-Meshkov 不稳定性非线性增长率的影响。随着雷诺数的降低，达到非线性饱和的时间增加，只有在雷诺数范围 Re<256 内才会出现显著的雷诺数效应。在这个范围内，不稳定性特性会发生急剧变化。在较低的雷诺数下，气泡和尖峰的幅度趋于相等，气泡速度的衰减速度比 Sohn 模型[ S.-I. Sohn，Phys. Rev. E 80, 055302 (2009) PLEEE81539-375510.1103/PhysRevE.80.055302]预测的要快。预测的幅度与 Carles 和 Popinet[ P. Carles 和 S. Popinet，Phys. Fluids Lett. 13, 1833 (2001) 10.1063/1.1377863; Eur. J. Mech. B 21, 511 (2002) EJBFEV0997-754610.1016/S0997-7546(02)01199-8]和 Mikaelian[ K. O. Mikaelian，Phys. Rev. E 47, 375 (1993) 1063-651X10.1103/PhysRevE.47.375; K. O. Mikaelian，Phys. Rev. E 87, 031003 (2013) PLEEE81539-375510.1103/PhysRevE.87.031003]的理论吻合较好，前者与当前的计算结果最为接近。
