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| 1 | Non—equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method显示文摘In this paper,we propose a new approach to implementing boundary conditions in the lattice Boltzmann method (LBM).The basic idea is to decompose the distribution function at the boundary node into its equilibrium and non-equilibrium parts,and then to approximate the non-equilibrium part with a first-order extrapolation of the nonequilibrium part of the distribution at the neighbouring fluid node.Schemes for velocity and pressure boundary conditions are constructed based on this method.The resulting schemes are of second-order accuracy.Numerical tests show that the numerical solutions of the LBM together with the present boundary schemes are in excellent agreement with the analytical solutions.Second-order convergence is also verified from the results.It is also found that the numerical stability of the present schemes is much better than that of the original extrapolation schemes proposed by Chen et al.(1996 Phys.Fluids 8 2527). | 郭照立 施保昌 等 | 2002 | Chinese Physics B2002，11，4： | 148 |
| 2 | A singularly perturbed reaction diffusion problem for the nonlinear boundary condition with two parameters显示文摘A class of singularly perturbed initial boundary value problems of reaction diffusion equations for the nonlinear boundary condition with two parameters is considered. Under suitable conditions, by using the theory of differential inequalities, the existence and the asymptotic behaviour of the solution for the initial boundary value problem are studied. The obtained solution indicates that there are initial and boundary layers and the thickness of the boundary layer is less than the thickness of the initial layer. | 莫嘉琪 | 2010 | Chinese Physics B2010，19，1： | 52 |
| 3 | Chaotic dynamics of the fractional-order Ikeda delay system and its synchronization显示文摘 | 卢俊国 | 2006 | Chinese Physics B2006，15，2： | 42 |
| 4 | Quantum secure direct communication with quantum encryption based on pure entangled states显示文摘 | 李熙涵 李春燕 邓富国 周萍 梁玉洁 周宏余 | 2007 | Chinese Physics B2007，16，8： | 42 |
| 5 | Variational iteration method for solving the mechanism of the Equatorial Eastern Pacific El Nino-Southern Oscillation显示文摘 | 莫嘉祺 王辉 林万涛 林一骅 | 2006 | Chinese Physics B2006，15，4： | 35 |
| 6 | Grey spatial solitons due to two-photon photorefractive effect显示文摘 | 张宇 侯春风 孙秀冬 | 2007 | Chinese Physics B2007，16，1： | 35 |
| 7 | Asymptotic solution for a class of sea-air oscillator model for El Nio-southern oscillation显示文摘The El Nin o-Southern Oscillation(ENSO) is an interannual phenomenon involved in the tropical Pacific Oceanatmosphere interactions.In this paper,an asymptotic method of solving the nonlinear equation for the ENSO model is used.And based on a class of oscillator of ENSO model,the approximate solution of a corresponding problem is studied by employing the perturbation method.Firstly,an ENSO model of nonlinear time delay equation of equatorial Pacific is introduced,Secondly,by using the perturbed method,the zeroth and first order asymptotic perturbed solutions are constructed.Finally,from the comparison of the values for a figure,it is seen that the first asymptotic perturbed solution using the perturbation method has a good accuracy.And it is proved from the results that the perturbation method can be used as an analytic operation for the sea surface temperature anomaly in the equatorial Pacific of the atmosphere-ocean oscillation for the ENSO model. | 莫嘉琪 林万涛 | 2008 | Chinese Physics B2008，17，2： | 39 |
| 8 | Hyperchaos evolved from the Liu chaotic system显示文摘 | 王发强 刘崇新 | 2006 | Chinese Physics B2006，15，5： | 32 |
| 9 | A new Rsslor hyperchaotic system and its realization with systematic circuit parameter design显示文摘Based on two modified Rsslor hyperchaotic systems, which are derived from the chaotic Rsslor system by introducing a state feedback controller, this paper proposes a new switched Rsslor hyperchaotic system. The switched system contains two different hyperchaotic systems and can change its behaviour continuously from one to another via a switching function. On the other hand, it presents a systematic method for designing the circuit of realizing the proposed hyperchaotic system. In this design, circuit state equations are written in normalized dimensionless form by rescaling the time variable. Furthermore, an analogous circuit is designed by using the proposed method and built for verifying the new hyperchaos and the design method. Experimental results show a good agreement between numerical simulations and experimental results. | 王光义 何海莲 | 2008 | Chinese Physics B2008，17，11： | 31 |
| 10 | Accurate and rapid error estimation on global gravitational field from current GRACE and future GRACE Follow-On missions显示文摘Firstly,the new combined error model of cumulative geoid height influenced by four error sources,including the inter-satellite range-rate of an interferometric laser (K-band) ranging system,the orbital position and velocity of a global positioning system (GPS) receiver and non-conservative force of an accelerometer,is established from the perspectives of the power spectrum principle in physics using the semi-analytical approach.Secondly,the accuracy of the global gravitational field is accurately and rapidly estimated based on the combined error model;the cumulative geoid height error is 1.985×10 1 m at degree 120 based on GRACE Level 1B measured observation errors of the year 2007 published by the US Jet Propulsion Laboratory (JPL),and the cumulative geoid height error is 5.825×10 2 m at degree 360 using GRACE Follow-On orbital altitude 250 km and inter-satellite range 50 km.The matching relationship of accuracy indexes from GRACE Follow-On key payloads is brought forward,and the dependability of the combined error model is validated.Finally,the feasibility of high-accuracy and high-resolution global gravitational field estimation from GRACE Follow-On is demonstrated based on different satellite orbital altitudes. | 郑伟 许厚泽 钟敏 员美娟 | 2009 | Chinese Physics B2009，18，8： | 34 |
| 11 | Multi-scale computation methods:Their applications in lithium-ion battery research and development显示文摘Based upon advances in theoretical algorithms, modeling and simulations, and computer technologies, the rational design of materials, cells, devices, and packs in the field of lithium-ion batteries is being realized incrementally and will at some point trigger a paradigm revolution by combining calculations and experiments linked by a big shared database,enabling accelerated development of the whole industrial chain. Theory and multi-scale modeling and simulation, as supplements to experimental efforts, can help greatly to close some of the current experimental and technological gaps,as well as predict path-independent properties and help to fundamentally understand path-independent performance in multiple spatial and temporal scales. | 施思齐 高健 刘悦 赵彦 武曲 琚王伟 欧阳楚英 肖睿娟 | 2016 | Chinese Physics B2016，25，1： | 30 |
| 12 | On the interaction between dislocations and cracks in one-dimensional hexagonal quasi-crystals显示文摘The solution of elasticity problems involving the interaction between dislocations and cracks plays a fundamental role in many practical and theoreticM applications. Although elasticity problems involving dislocation or cracks in quasi-crystals have been investigated in many papers, the analysis is limited to a single defect. This paper investigates the interaction of defects in one-dimensional hexagonal quasi-crystMs using the complex variable function method. The interaction force between two parMlel dislocations is presented and the analytic solutions of elastic fields of interaction between a dislocation and a crack are obtained. A version of the well-known Peach-Koehler formula in one-dimensional hexagonal quasi-crystals is given. | 刘官厅 郭瑞平 范天佑 | 2003 | Chinese Physics B2003，12，10： | 28 |
| 13 | An extended Jacobian elliptic function method for the discrete mKdV lattice显示文摘In this paper, the discrete mKdV lattice is solved by using the modified Jacobian elliptic function expansion method. As a consequence, abundant families of Jacobian elliptic function solutions are obtained. When the modulus m→1, these periodic solutions degenerate to the corresponding solitary wave solutions, including bell-type and kink-type excitations. | 朱加民 马正义 | 2005 | Chinese Physics B2005，14，1： | 26 |
| 14 | Mei symmetry of Tzénoff equations of holonomic system显示文摘 | 郑世旺 贾利群 余宏生 | 2006 | Chinese Physics B2006，15，7： | 25 |
| 15 | Variational iteration method for solving perturbed mechanism of western boundary undercurrents in the Pacific显示文摘 | 莫嘉琪 林万涛 王辉 | 2007 | Chinese Physics B2007，16，4： | 26 |
| 16 | Design and FPGA Implementation of a new hyperchaotic system显示文摘In this paper, a new four-dimensional autonomous hyperchaotic system is designed for generating complex chaotic signals. In the design, its parameters are selected according to the requirements for chaos and hyperchaos. The hyperchaotic nature is verified theoretically by using the bifurcation analysis and demonstrated experimentally by the implementation of an analogue electronic circuit. Moreover, the Field Programmable Gate Array (FPGA) technology is applied to implementing a continuous system in a digital form by using a chip of Altera Cyclone II EP2C35F484C8. The digital sequence generated from the FPGA device is observed in our experimental setup. | 王光义 包旭雷 王忠林 | 2008 | Chinese Physics B2008，17，10： | 24 |
| 17 | Chaotic memristive circuit:equivalent circuit realization and dynamical analysis显示文摘In this paper,a practical equivalent circuit of an active flux-controlled memristor characterized by smooth piecewise-quadratic nonlinearity is designed and an experimental chaotic memristive circuit is implemented.The chaotic memristive circuit has an equilibrium set and its stability is dependent on the initial state of the memristor.The initial state-dependent and the circuit parameter-dependent dynamics of the chaotic memristive circuit are investigated via phase portraits,bifurcation diagrams and Lyapunov exponents.Both experimental and simulation results validate the proposed equivalent circuit realization of the active flux-controlled memristor. | 包伯成 许建平 周国华 马正华 邹凌 | 2011 | Chinese Physics B2011，20，12： | 24 |
| 18 | Analysis of the Chinese air route network as a complex network显示文摘The air route network,which supports all the flight activities of the civil aviation,is the most fundamental infrastructure of air traffic management system.In this paper,we study the Chinese air route network (CARN) within the framework of complex networks.We find that CARN is a geographical network possessing exponential degree distribution,low clustering coefficient,large shortest path length and exponential spatial distance distribution that is obviously different from that of the Chinese airport network (CAN).Besides,via investigating the flight data from 2002 to 2010,we demonstrate that the topology structure of CARN is homogeneous,howbeit the distribution of flight flow on CARN is rather heterogeneous.In addition,the traffic on CARN keeps growing in an exponential form and the increasing speed of west China is remarkably larger than that of east China.Our work will be helpful to better understand Chinese air traffic systems. | 蔡开泉 张军 杜文博 曹先彬 | 2012 | Chinese Physics B2012，21，2： | 24 |
| 19 | Hyperbolic function method for solving nonlinear differential-different equations显示文摘An algorithm is devised to obtained exact travelling wave solutions of differential-different equations by means of hyperbolic function. For illustration, we apply the method to solve the discrete nonlinear (2+l)-dimensional Toda lattice equation and the discretized nonlinear mKdV lattice equation, and successfully constructed some explicit and exact travelling wave solutions. | 朱加民 | 2005 | Chinese Physics B2005，14，7： | 23 |
| 20 | Secure quantum dialogue based on single-photon显示文摘 | 计新 张寿 | 2006 | Chinese Physics B2006，15，7： | 22 |
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