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结构型摄动多项式族的不变惯性
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作者 赵克友 张炳煜 《控制理论与应用》 EI CAS CSCD 北大核心 1995年第1期120-122,共3页
给了一个结构型摄动多项式族以及复平面上的稳定性区域,是否这个族在这区域的内部,边界与外部有着不变的根的数目?这是所谓的不变惯性问题,本文将予回答.在否定的情况下,我们要给出方法去把这族分割为一些子族使对每一子族而言它... 给了一个结构型摄动多项式族以及复平面上的稳定性区域,是否这个族在这区域的内部,边界与外部有着不变的根的数目?这是所谓的不变惯性问题,本文将予回答.在否定的情况下,我们要给出方法去把这族分割为一些子族使对每一子族而言它有着各自不变的惯性. 展开更多
关键词 结构型摄动 多项式 不变惯性
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Theoretical and simulation research of hydrodynamic instabilities in inertial-confinement fusion implosions 被引量:7
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作者 LiFeng Wang WenHua Ye +14 位作者 XianTu He JunFeng Wu ZhengFeng Fan Chuang Xue HongYu Guo WenYong Miao YongTeng Yuan JiaQin Dong Guo Jia Jing Zhang YingJun Li Jie Liu Min Wang YongKun Ding WeiYan Zhang 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2017年第5期1-35,共35页
Inertial fusion energy (IFE) has been considered a promising, nearly inexhaustible source of sustainable carbon-free power for the world's energy future. It has long been recognized that the control of hydrodynamic... Inertial fusion energy (IFE) has been considered a promising, nearly inexhaustible source of sustainable carbon-free power for the world's energy future. It has long been recognized that the control of hydrodynamic instabilities is of critical importance for ignition and high-gain in the inertial-confinement fusion (ICF) hot-spot ignition scheme. In this mini-review, we summarize the progress of theoretical and simulation research of hydrodynamic instabilities in the ICF central hot-spot implosion in our group over the past decade. In order to obtain sufficient understanding of the growth of hydrodynamic instabilities in ICF, we first decompose the problem into different stages according to the implosion physics processes. The decomposed essential physics pro- cesses that are associated with ICF implosions, such as Rayleigh-Taylor instability (RTI), Richtmyer-Meshkov instability (RMI), Kelvin-Helmholtz instability (KHI), convergent geometry effects, as well as perturbation feed-through are reviewed. Analyti- cal models in planar, cylindrical, and spherical geometries have been established to study different physical aspects, including density-gradient, interface-coupling, geometry, and convergent effects. The influence of ablation in the presence of preheating on the RTI has been extensively studied by numerical simulations. The KHI considering the ablation effect has been discussed in detail for the first time. A series of single-mode ablative RTI experiments has been performed on the Shenguang-II laser facility. The theoretical and simulation research provides us the physical insights of linear and weakly nonlinear growths, and nonlinear evolutions of the hydrodynamic instabilities in ICF implosions, which has directly supported the research of ICF ignition target design. The ICF hot-spot ignition implosion design that uses several controlling features, based on our current understanding of hydrodynamic instabilities, to address shell implosion stability, has been briefly described, several of which are novel. 展开更多
关键词 hydrodynamic instabilities inertial-confinement fusion implosions Rayleigh-Taylor instability Richtmyer-Meshkov in-stability Kelvin-Helmholtz instability convergent geometry effects perturbation feed-through
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Numerical simulations of instabilities in the implosion process of inertial confined fusion in 2D cylindrical coordinates 被引量:2
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作者 Heng Yong ChuanLei Zhai +3 位作者 Song Jiang Peng Song ZhenSheng Dai JianFa Gu 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2016年第1期75-85,共11页
In this paper, we introduce a multi-material arbitrary Lagrangian and Eulerian method for the hydrodynamic radiative multi-group diffusion model in 2D cylindrical coordinates. The basic idea in the construction of the... In this paper, we introduce a multi-material arbitrary Lagrangian and Eulerian method for the hydrodynamic radiative multi-group diffusion model in 2D cylindrical coordinates. The basic idea in the construction of the method is the following: In the Lagrangian step, a closure model of radiation-hydrodynamics is used to give the states of equations for materials in mixed cells. In the mesh rezoning step, we couple the rezoning principle with the Lagrangian interface tracking method and an Eulerian interface capturing scheme to compute interfaces sharply according to their deformation and to keep cells in good geometric quality. In the interface reconstruction step, a dual-material Moment-of-Fluid method is introduced to obtain the unique interface in mixed ceils. In the remapping step, a conservative remapping algorithm of conserved quantities is presented. A munber of numerical tests are carried out and the numerical results show that the new method can simulate instabilities in complex fluid field under large deformation, and are accurate and robust. 展开更多
关键词 material interfaces Rayleigh-Taylor instability Richtmyer-Meshkov instability arbitrary Lagrangian and Eulerian frame-work Moment-of-Fluid method
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