The weakly nonlinear stage of the ablative Rayleigh–Taylor instability(ARTI)is investigated by expanded hydrodynamic equations in which the third-order corrections of the two-mode perturbations are considered.In the ...The weakly nonlinear stage of the ablative Rayleigh–Taylor instability(ARTI)is investigated by expanded hydrodynamic equations in which the third-order corrections of the two-mode perturbations are considered.In the present coupling model,two linear perturbations are simultaneously added near the ablation front at the initial moment,and we have derived the first three coupling harmonics.Furthermore,the coupling model analysis is studied via direct numerical simulation as well.When the original two fundamental modes are always dominant over other modes,the time evolution of the density amplitudes for these modes agrees well with the results of direct numerical simulation.It is found that the harmonics are stabilized by the mode coupling effects,and the long wavelength mode of the fundamental modes tends to dominate the growth of the ARTI.Two-mode coupling is one of the restriction factors for the realization of controlled inertial confinement fusion.Therefore,the coupling harmonics excited by two-mode perturbations have good application potential and are worth further study.展开更多
基金supported by National Natural Science Foundation of China(Nos.11805003,11947102 and 12004005)the Natural Science Foundation of Anhui Province(Nos.2008085QA26 and2008085MA16)+2 种基金the Scientific Research Fund for Distinguished Young Scholars of the Education Department of Anhui Province(No.2022AH020008)the University Synergy Innovation Program of Anhui Province(No.GXXT-2022-039)the Open Project of State Key Laboratory of Surface Physics in Fudan University(No.KF2021_08)。
文摘The weakly nonlinear stage of the ablative Rayleigh–Taylor instability(ARTI)is investigated by expanded hydrodynamic equations in which the third-order corrections of the two-mode perturbations are considered.In the present coupling model,two linear perturbations are simultaneously added near the ablation front at the initial moment,and we have derived the first three coupling harmonics.Furthermore,the coupling model analysis is studied via direct numerical simulation as well.When the original two fundamental modes are always dominant over other modes,the time evolution of the density amplitudes for these modes agrees well with the results of direct numerical simulation.It is found that the harmonics are stabilized by the mode coupling effects,and the long wavelength mode of the fundamental modes tends to dominate the growth of the ARTI.Two-mode coupling is one of the restriction factors for the realization of controlled inertial confinement fusion.Therefore,the coupling harmonics excited by two-mode perturbations have good application potential and are worth further study.