Theoretical study on finite-thickness effect on harmonics in Richtmyer-Meshkov instability for arbitrary Atwood numbers

Theoretical study on finite-thickness effect on harmonics in Richtmyer-Meshkov instability for arbitrary Atwood numbers
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任意阿特伍德数Richtmyer-Meshkov不稳定性中谐波有限厚度效应的理论研究

DOI:
10.1063/1.5053766
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发表时间:
2018-12
期刊:
影响因子:
2.2
通讯作者:
Ye WenHua
Ye WenHua
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Liu WangHai;Li XinLiang;Yu ChangPing;Fu YaoWei;Wang Pei;Wang LiLi;Ye WenHua

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采用三阶弱非线性分析方法研究了任意Atwood数的richmyer - meshkov不稳定性(RMI)中两种叠加流体的有限厚度对谐波的影响。当两种流体的厚度趋于无穷大时,我们的结果可以重现RMI发生在两种不同密度的半无穷大厚度流体分离界面的经典结果。与经典RMI相比,厚度对前三次谐波幅值的影响较大。厚度效应一方面提高或降低了前三次谐波的幅值,另一方面改变了第二次和第三次谐波的相位。采用三阶弱非线性分析方法研究了任意Atwood数的richmyer - meshkov不稳定性(RMI)中两种叠加流体的有限厚度对谐波的影响。当两种流体的厚度趋于无穷大时,我们的结果可以重现RMI发生在两种不同密度的半无穷大厚度流体分离界面的经典结果。与经典RMI相比,厚度对前三次谐波幅值的影响较大。厚度效应一方面提高或降低了前三次谐波的幅值,另一方面改变了第二次和第三次谐波的相位。
The finite-thickness effect of two superimposed fluids on harmonics in the Richtmyer-Meshkov instability (RMI) for arbitrary Atwood numbers is investigated by using weakly nonlinear analysis up to the third order. When the thickness of the two fluids tends to be infinity, our results can reproduce the classical results where RMI happens at the interface separating two semi-infinity-thickness fluids of different densities. It is found that the thickness has a large influence on the amplitudes of the first three harmonics compared with those in classical RMI. On the one hand, the thickness effect encourages or reduces the amplitudes of the first three harmonics, and on the other hand, it changes the phases of the second and the third harmonics.The finite-thickness effect of two superimposed fluids on harmonics in the Richtmyer-Meshkov instability (RMI) for arbitrary Atwood numbers is investigated by using weakly nonlinear analysis up to the third order. When the thickness of the two fluids tends to be infinity, our results can reproduce the classical results where RMI happens at the interface separating two semi-infinity-thickness fluids of different densities. It is found that the thickness has a large influence on the amplitudes of the first three harmonics compared with those in classical RMI. On the one hand, the thickness effect encourages or reduces the amplitudes of the first three harmonics, and on the other hand, it changes the phases of the second and the third harmonics.
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