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第二届热问题计算方法国际会议

作者： Xia Cui,Guang-Wei Yuan,Jing-Yan Yue National Key Laboratory of Science and Technology on computational physics, institute of applied physics and computational mathematics,Beijing 100088,China

A new iteration scheme named adaptive Picard-Newton iteration is studied for a nonlinear coupled parabolic-hyperbolic *** can accelerate the resolving procedure with flexible adjustment of the adaptive *** includes Picard iteration and Picard-Newton iteration as special cases. Theoretical analysis shows its solution has super-linear convergence rate to the solution of the nonlinear discrete scheme of the original problem,and second order spatial and temporal approximations to the real solution of the *** tests verify its high accuracy and *** factors are picked up by comparisons of several iterations,and significant synthesis acceleration is gained.

关键词： Coupled Parabolic-Hyperbolic System Nonlinearity Adaptive Iteration Acceleration

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A numerical study on Rayleigh-Taylor instability of aluminum plates driven by detonation

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Science China(physics,Mechanics & Astronomy) 2010年第2期53卷 195-198页

作者： HE ChangJiang,ZHOU HaiBing & HANG YiHong institute of applied physics and computational mathematics,Laboratory of computational physics,Beijing 100088,China 1. Institute of Applied Physics and Computational Mathematics Laboratory of Computational Physics Beijing 100088 China

The authors,using elastic-plastic hydrodynamic code,present the Rayleigh-Taylor (RT) instability of Al plates driven by high-explosive detonation. Our numerical study assumes the material is fluid,or it is an elastic-plastic solid,and we compare the results of these simulations with the experimental data. For the numerical simulation of Rayleigh-Taylor instability of the metal driven by high-explosive detonation,the elastic-plastic effect must be assumed. The result of the simulation is different from the experiment,using only equation of state. However,the growth of perturbation agrees well with the measured growth under the second assumption. There is a cutoff wavelength for RT instability of the metal. The growth of perturbation is stable for short wavelength. The growth increases rapidly as the wavelength increases.

关键词： interface instability elastic-plastic numerical simulation

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Cluster identification and characterization of physical fields

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Science China(physics,Mechanics & Astronomy) 2010年第9期53卷 1610-1618页

作者： ZHANG GuangCai,XU AiGuo,LU Guo & MO ZeYao National Key Laboratory of computational physics,institute of applied physics and computational mathematics,Beijing 100088,China 1. National Key Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics Beijing 100088 China

The description of complex configuration is a difficult *** present a powerful technique for cluster identification and *** scheme is designed to treat and analyze the experimental and/or simulation data from various *** main steps are as *** first divide the space using face or volume elements from discrete ***,we combine the elements with the same and/or similar properties to construct clusters with special physical *** the algorithm,we adopt an administrative structure of a hierarchy-tree for spatial bodies such as points,lines,faces,blocks,and *** fast search algorithms with the complexity lnN are *** establishment of the hierarchy-tree and the fast searching of spatial bodies are general,which are independent of spatial ***,it is easy to extend the method to other *** a verification and validation,we applied this method and analyzed some two-dimensional and three-dimensional random data.

关键词： spatial hierarchical tree fast search complex configuration dynamic physical fields cluster identification

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惯性及弹塑性效应对延性金属材料层裂损伤的影响

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物理学报 2011年第7期60卷 458-462页

作者：张凤国周洪强张广财洪滔北京应用物理与计算数学研究所北京100094

本文以空心球壳模型为基础,在飞片加载条件下,讨论了惯性、弹塑性效应以及初始孔洞大小对材料层裂损伤的影响.分析结果表明,在研究材料层裂损伤问题时,惯性、弹塑性效应以及初始孔洞大小的影响是不能忽略的,特别是初始孔洞大小的影响.同... 详细信息

本文以空心球壳模型为基础,在飞片加载条件下,讨论了惯性、弹塑性效应以及初始孔洞大小对材料层裂损伤的影响.分析结果表明,在研究材料层裂损伤问题时,惯性、弹塑性效应以及初始孔洞大小的影响是不能忽略的,特别是初始孔洞大小的影响.同时,鉴于初始孔洞大小的重要影响,本文尝试给出了一个分析初始孔洞尺寸的方法.

关键词：层裂损伤惯性弹塑性效应初始孔洞

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Prandtl number effects in MRT lattice Boltzmann models for shocked and unshocked compressible fluids

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Theoretical & applied Mechanics Letters 2011年第5期1卷 60-63页

作者： Feng Chen,1 Aiguo Xu,2,Guangcai Zhang,2 and Yingjun Li 1,1) State Key Laboratory for GeoMechanics and Deep Underground Engineering,China University of Mining and Technology (Beijing),Beijing 100083,China 2) National Key Laboratory of computational physics,institute of applied physics and computational mathematics,P.O.Box 8009-26,Beijing 100088,China National Key Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics P. O. Box 8009-26 Beijing 100088 China

This paper constructs a new multiple relaxation time lattice Boltzmann model which is not only for the shocked compressible fluids,but also for the unshocked compressible *** make the model work for unshocked compressible fluids,a key step is to modify the collision operators of energy flux so that the viscous coefficient in momentum equation is consistent with that in energy equation even in the unshocked *** unnecessity of the modification for systems under strong shock is *** model is validated by some well-known benchmark tests,including thermal Couette flow,Riemann *** first system is unshocked and the latter is *** both systems,the Prandtl number effects are *** agreements are obtained between new model results and analytical ones.

关键词： lattice Boltzmann method compressible flows multiple-relaxation-time Prandtl number

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Regular solutions for multiplicative stochastic Landau-Lifshitz-Gilbert equation and blow-up phenomena

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Science China mathematics 2010年第12期53卷 3115-3130页

作者： PU XueKe 1, & GUO BoLing 2 1 College of mathematics and Statistics, Chongqing University, Chongqing 400044, China 2 institute of applied physics and computational mathematics, P. O. Box 8009, Beijing 100088, China 1. College of Mathematics and Statistics Chongqing University Chongqing 400044 China2. Institute of Applied Physics and Computational Mathematics P. O. Box 8009 Beijing 100088 China

The two-dimensional Landau-Lifshitz-Gilbert equation of motion for a classical magnetic moment perturbed by a multiplicative noise is considered. This equation is highly nonlinear in nature and, for this reason, many mathematical results in stochastic partial differential equations (SPDEs) cannot be applied. The aim of this work is to introduce the difference method to handle SPDEs and prove the existence of regular martingale solutions in dimension two. Some blow-up phenomena are presented, which are drastically different from the deterministic case. Finally, to yield correct thermal-equilibrium properties, Stratonovitch integral is used instead of Ito integral.

关键词： stochastic Landau-Lifshitz-Gilbert equation regular solution difference method blow up

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反射镜双程放大对类氖锗软X射线激光的输出影响研究

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物理学报 2011年第10期60卷 307-313页

作者：安红海王琛方智恒熊俊孙今人王伟傅思祖乔秀梅郑无敌张国平上海激光等离子体研究所上海201800 北京应用物理与计算数学研究所北京100080

纳秒量级激光驱动的类氖锗软X射线激光具有出光稳定和输出强度大等优点,在诸多领域拥有很好的应用价值.研究了通过在光路中增加一块多层膜反射镜实现双程放大对出光特性的影响.通过估算和实验,证实了增加反射镜双程放大确实能够提高类... 详细信息

纳秒量级激光驱动的类氖锗软X射线激光具有出光稳定和输出强度大等优点,在诸多领域拥有很好的应用价值.研究了通过在光路中增加一块多层膜反射镜实现双程放大对出光特性的影响.通过估算和实验,证实了增加反射镜双程放大确实能够提高类氖锗软X射线激光的输出强度,对于24mm的双程放大长度,总输出强度会增加约2.3倍.但同时这种模式也带来了光束质量的下降,对应用研究并非完全有益.

关键词：软X射线激光反射镜双程放大增益饱和

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A systematic investigation of high harmonic generation using mid-infrared driving laser pulses

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Science China(physics,Mechanics & Astronomy) 2010年第6期53卷 1054-1059页

作者： YAO JinPing 1,2 ,XIONG Hui 1 ,XU Han 1 ,FU YuXi 1,2 ,ZENG Bin 1,2 ,CHU Wei 1,2 ,CHENG Ya 1 ,XU ZhiZhan 1 ,LIU XiaoJun 3 & CHEN Jing 4,5 1 State Key Laboratory of High Field Laser physics,Shanghai institute of Optics and Fine Mechanics,Chinese Academy of Sciences,Shanghai 201800,China 2 Graduate University of Chinese Academy of Sciences,Beijing 100049,China 3 State Key Laboratory of Magnetic Resonance and Atomic and Molecular physics,Wuhan institute of physics and mathematics,Chinese Academy of Sciences,Wuhan 430071,China 4 institute of applied physics and computational mathematics,Beijing 100088,China 5 Center for applied physics and Technology,Peking University,Beijing 100084,China 1. State Key Laboratory of High Field Laser Physics Shanghai Institute of Optics and Fine Mechanics Chinese Academy of Sciences Shanghai 201800 China2. Graduate University of Chinese Academy of Sciences Beijing 100049 China3. State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan 430071 China4. Institute of Applied Physics and Computational Mathematics Beijing 100088 China5. Center for Applied Physics and Technology Peking University Beijing 100084 China

We report on a systematic investigation of the influences of gas pressure,focal position and focusing geometry on high harmonic generation by use of mid-infrared femtosecond laser pulses. We also discuss the spatial characteristics of harmonics under different focusing conditions. By optimizing the parameters,we experimentally observed the generation of 1 kHz,low divergence coherent X-ray beams in the water-window region.

关键词： mid-infrared laser pulses high harmonic generation water window

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Relations of 3D directional derivatives and expressions of typical differential operators

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applied mathematics(A Journal of Chinese Universities) 2009年第2期24卷 221-229页

作者： YIN Li Lü Gui-xia SHEN Long-jun Laboratory of computational physics,institute of applied physics and computational mathematics,Beijing 100088,China Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics Beijing 100088 China

Relations of the 3D multi-directional derivatives are studied in this paper. These relations are applied to a geeral second-order linear elliptical operator and the corresponding expression are obtained. These relatio... 详细信息

关键词： 3D directional derivative general elliptical operator

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H~m convergence rates of solutions of GBBM equations in multi-dimensional spaces

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Progress in Natural Science:Materials International 2009年第9期19卷 1053-1057页

作者： Shaomei Fang a,*, Boling Guo b a Department of mathematics, South China Agricultural University, Guangzhou 510642, China b institute of applied physics and computational mathematics, Beijing 100088, China [a]Department of Mathematics South China Agricultural University Guangzhou 510642 China [b]Institute of Applied Physics and Computational Mathematics Beijing 100088 China

In this paper, we study the decay rates of the generalized Benjamin-Bona-Mahony equations in n-dimensional space. By using Fourier analysis for long wave and by applying the energy method for short wave, we obtain the Hm convergence rates of the solutions when the initial data are in the bounded subset of the phase space HmeRnTen P 3T. The optimal decay rates are obtained in our results and are found to be the same as the Heat equation.

关键词： Generalized Benjamin–Bona–Mahony equations Fourier analysis Energy method Optimal convergence rates

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