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Global Dynamics and Control of a Nonlinear Body Equation with Strong Structural Damping

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Acta Mathematica Sinica,English Series 1998年第2期14卷 183-190页

作者： Gao Hongjun Guo Boling (LCP,institute of Applied Physics and computational mathematics,Beijing 100080,China) LCP Institute of Applied Physics and Computational Mathematics

A nonlinear hinged extensible elastic body equation with strong structural damping and Balakrishnan-Taylor damping of full exponent is studied as a general model for large space structures of higher *** this paper, the absorbing sets and fiat inertial manifold are obtained for this nonlinear body *** control spillover problem associated with the stabilization of this equation is resolved by constructing a linear finite dimensional feedback control based on the existence of inertial manifolds of the uncontrolled equation. Moreover, the results obtained are robust with respect to the uncertainty in structural parameters.

关键词： Absorbing set Inertial manifold Finite dimensional feedback control

Dielectronic Recombination for the Self-Consistent-Field Average Ions

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Chinese Physics Letters 1996年第9期13卷 664-667页

作者： ZHAO Li-bo LI Shi-chang institute of Applied Physics and computational mathematics Beijing 100088

A self-consistent-field theoretical method has been developed to treat the dielectronic recombination(DR)of average ions with *** on the method,the rate coefficients for DR into a special state can be *** an example,t... 详细信息

关键词： population method presented

A Heat Transport Model Including the Effect of Non-Maxwellian Electron Distribution and Its Application in Laser Produced Plasma

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Chinese Physics Letters 1999年第7期16卷 520-522页

作者： ZHU Shao-ping GU Pei-jun institute of Applied Physics and computational mathematics Beijing 100088

An electron heat transport model is given for studying laser-to-x-ray conversion of inertial confinement *** electron heat flux is derived based on a non-Maxwellian electron distribution,and the behavior of the heat flux is *** effect of the non-Maxwellian electron distribution on inverse bremsstrahlung heating rate and electron-ion heat transfer rate are also included in the present *** simulation results show that the effects of the non-Maxwellian electron distribution on laser absorption efficiency,laser-to-x-ray conversion efficiency and electron temperature in the coronal region are important.

关键词： Maxwell Electron distribution

Harten-Lax-van Leer-contact(HLLC)approximation Riemann solver with elastic waves for one-dimensional elastic-plastic problems

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Applied mathematics and Mechanics(English Edition) 2016年第11期37卷 1517-1538页

作者： Junbo CHENG institute of Applied Physics and computational mathematics Beijing 100094China

A Harten-Lax-van Leer-contact （HLLC） approximate Riemann solver is built with elastic waves （HLLCE） for one-dimensional elastic-plastic flows with a hypo- elastic constitutive model and the von Mises＇ yielding criterion. Based on the HLLCE, a third-order cell-centered Lagrangian scheme is built for one-dimensional elastic-plastic problems. A number of numerical experiments are carried out. The numerical results show that the proposed third-order scheme achieves the desired order of accuracy. The third-order scheme is used to the numerical solution of the problems with elastic shock waves and elastic rarefaction waves. The numerical results are compared with a reference solution and the results obtained by other authors. The comparison shows that the pre- sented high-order scheme is convergent, stable, and essentially non-oscillatory. Moreover, the HLLCE is more efficient than the two-rarefaction Riemann solver with elastic waves （TRRSE）

关键词： Harten-Lax-van Leer-contact (HLLC) Riemann solver with elastic waves,elastic-plastic flow cell-centered Lagrangian scheme high-order scheme hypo-elastic con-stitutive model

LONG TIME BEHAVIOR FOR SOLUTION OF INITIAL-BOUNDARY VALUE PROBLEM OF ONE CLASS OF SYSTEMS WITH MULTIDIMENSIONAL INHOMOGENEOUS GBBM EQUATIONS

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Applied mathematics and Mechanics(English Edition) 2005年第6期26卷 716-721页

作者：房少梅郭柏灵 Department of mathematics Shaoguan University institute of Applied Physics and computational mathematics

The following initial-boundary value problem for the systems with multidimensional inhomogeneous generalized Benjamin-Bona-Mahony ( GBBM ) equations is reviewed. The existence of global attractors of this problem was ... 详细信息

关键词： multidimensional GBBM equation a priori estimate global attractor

PIC-MC Code to Model Fast Electron Beam Transport Through Dense Matter

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Plasma Science and Technology 2006年第3期8卷 269-274页

作者：曹莉华裴文兵刘占军常铁强李斌郑春阳 institute of Applied Physics and computational mathematics Beijing 100088 China

A PIC （particle-in-cell）-MC （Monte Carlo） code to model electron beam transport into dense matter is developed. The background target is treated as a cold, stationary fluid and the fast electrons as particles with the relativistic motions. The process is described by a particle-in-cell method with consideration of the influence of both the self-generated electric and magnetic fields as well as collisions between the fast electrons and the target. The collisional part of the code is solved by the Monte Carlo-type method. Furthermore by assuming that the background current balances with the fast electron current, the electric field is given by the Ohm＇s law and the magnetic field is calculated from the Faraday＇s law. Both are solved in a two-dimensional cylindrical geometry. The algorithms implemented in the code are demonstrated and the numerical experiments are performed for monoenergy homogeneous fast electron beam transport in an aluminum target when the fields, collision and angular scattering are switched on and off independently.

关键词： electron beam transport PIC simulation energy deposition

Sample size adaptive strategy for time-dependent Monte Carlo particle transport simulation

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Nuclear Science and Techniques 2023年第4期34卷 127-134页

作者： Dan-Hua ShangGuan Wei-Hua Yan Jun-Xia Wei Zhi-Ming Gao Yi-Bing Chen Zhi-Cheng Ji institute of Applied Physics and computational mathematics Beijing 100094China

When multiphysics coupling calculations contain time-dependent Monte Carlo particle transport simulations, these simulations often account for the largest part of the calculation time, which is insufferable in certain important cases. This study proposes an adaptive strategy for automatically adjusting the sample size to fulfil more reasonable simulations. This is realized based on an extension of the Shannon entropy concept and is essentially different from the popular methods in timeindependent Monte Carlo particle transport simulations, such as controlling the sample size according to the relative error of a target tally or by experience. The results of the two models show that this strategy can yield almost similar results while significantly reducing the calculation time. Considering the efficiency, the sample size should not be increased blindly if the efficiency cannot be enhanced further. The strategy proposed herein satisfies this requirement.

关键词： Time-dependent Monte Carlo particle transport simulation Shannon entropy Adaptive strategy

Analytical studies on the evolution processes of rarefied deuterium plasma shell Z-pinch by PIC and MHD simulations

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Chinese Physics B 2018年第2期27卷 457-467页

作者：宁成张小强张扬孙顺凯薛创丰志兴李百文 institute of Applied Physics and computational mathematics Beijing 100088 China

In this paper, we analytically explore the magnetic field and mass density evolutions obtained in particle-in-cell（PIC）and magnetohydrodynamics（MHD） simulations of a rarefied deuterium shell Z-pinch and compare those results, and also we study the effects of artificially increased Spitzer resistivity on the magnetic field evolution and Z-pinch dynamic process in the MHD simulation. There are significant differences between the profiles of mass density in the PIC and MHD simulations before 45 ns of the Z-pinch in this study. However, after the shock formation in the PIC simulation,the mass density profile is similar to that in the MHD simulation in the case of using multiplier 2 to modify the Spitzer resistivity. Compared with the magnetic field profiles of the PIC simulation of the shell, the magnetic field diffusion has still not been sufficiently revealed in the MHD simulation even though their convergence ratios become the same by using larger multipliers in the resistivity. The MHD simulation results suggest that the magnetic field diffusion is greatly enhanced by increasing the Spitzer resistivity used, which, however, causes the implosion characteristic to change from shock compression to weak shock, even shockless evolution, and expedites the expansion of the shell. Too large a multiplier is not suggested to be used to modify the resistivity in some Z-pinch applications, such as the Z-pinch driven inertial confinement fusion（ICF） in a dynamic hohlraum. Two-fluid or Hall MHD model, even the PIC/fluid hybrid simulation would be considered as a suitable physical model when there exist the plasma regions with very low density in the simulated domain.

关键词： shell Z-pinch PIC and MHD simulations wire-array Z-pinch

Electron Capture Process in Collisions of Proton with Excited State of Helium

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Chinese Physics Letters 2010年第12期27卷 61-64页

作者：王学容刘玲王建国 institute of Applied Physics and computational mathematics Beijing 100094

Total and star,selective cross sections for single electron capture （SEC） from the n = 2 excited state of helium colliding by protons are calculated in the energy range of 1.0-100.0 ke V/u by using the two-center atomic orbital close-coupling method. The interaction of the active electron with helium ion is represented by a model potential. Total SEC cross sections show a monotonic decreasing trend with increasing collision energy, and display a different behavior compared with the case from the ground state of helium. It is also found that the dominant reaction channel is captured to the H（2p） state up to 40 keV//u, and then the capture to the H（1s） or H（2s） state becomes more pronounced. Moreover, the alignment dependence on the initial states is obtained for the electron capture from He（2p0） and He （2p1）.

关键词： ELECTRON capture COLLISIONS (Physics) PROTONS EXCITED state chemistry HELIUM CROSS sections (Nuclear physics)