On the Nonlinear Growth of Multiphase Richtmyer–Meshkov Instability in Dilute Gas-Particles Flow
Huan Zheng1 , Qian Chen1 , Baoqing Meng1 , Junsheng Zeng2 , Baolin Tian1,2**
1 Institute of Applied Physics and Computational Mathematics, Beijing 1000942 College of Engineering, Peking University, Beijing 100871
Abstract ：We discuss evolutions of nonlinear features in Richtmyer–Meshkov instability (RMI), which are known as spikes and bubbles. In single-phase RMI, the nonlinear growth has been extensively studied but the relevant investigation in multiphase RMI is insufficient. Therefore, we illustrate the dynamic coupling behaviors between gas phase and particle phase and then analyze the growth of the nonlinear features theoretically. A universal model is proposed to describe the nonlinear finger (spike and bubble) growth velocity qualitatively in multiphase RMI. Both the effects of gas and particles have been taken into consideration in this model. Further, we derive the analytical expressions of the nonlinear growth model in limit cases (equilibrium flow and frozen flow). A novel compressible multiphase particle-in-cell (CMP-PIC) method is used to validate the applicability of this model. Numerical finger growth velocity matches well with our model. The present study reveals that particle volume fraction, particle density and Stokes number are the three key factors, which dominate the interphase momentum exchange and further induce the unique property of multiphase RMI.
收稿日期: 2019-09-28
出版日期: 2019-12-23
:
52.57.Fg
(Implosion symmetry and hydrodynamic instability (Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc.))
52.57.-z
(Laser inertial confinement)
47.20.-k
(Flow instabilities)
52.50.Lp
(Plasma production and heating by shock waves and compression)
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2020, Vol. 37 
