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Simulation of Liesegang Pattern Formation Using Lattice Boltzmann Method in three dimensions

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Simulation of Liesegang Pattern Formation Using Lattice Bolt...

Cellular Automata Simulation of Grain Growth in three dimensions Based on the Lowest-energy Principle

2012年计算机应用与系统建模国际会议

作者： Wei Qiang Hui Cao School of Computer Science China University of Geosciences Teaching and Experiment Center of Information Technology China University of Geosciences

The Liesegang pattern formation in three dimensional reaction-diffusion systems is numerically simulated using a lattice Boltzmann method. The reaction and diffusion processes are characterized using the multicomponent lattice Boltzmann equation with three dimensions and fifteen directions. The precipitation and aggregation of the reaction product are modeled based on the supersaturation mechanism. The stratification of the Liesegang pattern in the cubic enclosure can be clearly identified. The interference of the quasiperiodic waves in the Liesegang pattern provides evidence for the interactions between the dynamical processes arise from multisource reactants.

关键词： Liesegang pattern formation reaction-diffusion system lattice Boltzmann method three dimensions

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Cellular Automata Simulation of Grain Growth in Three Dimens...

New Analysis of Banxia Xiexin Decoction and Its Similar Prescriptions in Treatise on Febrile Diseases to Explore the Universality of the Treatment and Compatibility Principle

第十一届中国体视学与图像分析学术会议

作者： Keesam Shin School of Nano and Advanced Materials Changwon National University Changwon641-773Republic of Korea

The microstmcture and morphology evolution of grain growth were studied by 3D simulation using the cellular automata (CA) model based on the lowest-energy principle. In the present CA model, the transition of cells during the grain growth has a typical physical meaning due to the application of the lowest-energy principle. The results show that the kinetics of grain growth follows Burke equation with the growth exponent as 2. The average number of grain faces is 13.6 and the highest frequency of grain faces is 10 faces. The grain size distribution follows Weibull function. The relationship between the number of faces of a grain and the average number of faces of its adjacent grains follows the Aboav-Weaire law. There is a correlation between the topologies of the simulated 2D and 3D grain growth. The average number of sides per face for all grains is 5. 65 and the average number of sides per face is about equal to 6 when the grain faces is larger than 35.

关键词： Cellular automata Local kinetics three dimensions Topology Grain growth

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World Journal of Traditional Chinese Medicine 2022年第4期8卷 509-513页

作者： Ren-Ling Wei Zheng-Feng Li Ru-Sen Cao Jian-Bin Zeng Jian-Li Shen Qiu-Lan Pei Qi-Jun Liang Department of Clinical Medical Jiangxi University of Traditional Chinese MedicineNanchang.China Department of Endocrinology Affiliated Hospital of Jiangxi University of Traditional Chinese MedicineNanchang.China Department of Cardiology Affiliated Hospital of Jiangxi University of Traditional Chinese MedicineNanchangChina Department of Respiratory and Critical Care Affiliated Hospital of Jiangxi University of Traditional Chinese MedicineNanchangChina

Objective:The objective of this study is to explore the treatment and compatibility principles of Traditional Chinese *** and Methods:Syndrome differentiation is used to identify the etiology,nature,and location of a disease and the relationship between the healthy Qi and pathogenic factors by analyzing and synthesizing the four diagnostics *** theory of treatment is to determine the principle and methods of treatment according to the results of syndrome differentiation and implement them as a specific *** paper bears witness to the principle universality by analysis of the articles of the Banxia Xiexin Decoction,and it equally has analogical prescriptions in Treatise on Febrile ***:The treatment and compatibility principles of Traditional Chinese Medicine are the same,that is,rectifying the deviation on three dimensions,strengthening the healthy Qi,and eliminating pathogenic factors in the light of its general ***:The treatment and compatibility principles of Traditional Chinese Medicine are the same,The treatment and compatibility principles provide a new thinking for clinical treatment.

关键词： Banxia Xiexin Decoction compatibility principle eliminating pathogenic factors strengthening the healthy Qi therapeutic principle three dimensions treatment and compatibility principle

three-dimensional antimony sulfide anode with carbon nanotube interphase modified for lithium-ion batteries

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International Journal of Minerals,Metallurgy and Materials 2021年第10期28卷 1629-1635页

作者： Qi Wang Yue-yong Du Yan-qing Lai Fang-yang Liu Liang-xing Jiang Ming Jia School of Metallurgy and Environment Central South UniversityChangsha 410083China

Antimony sulfide(Sb_(2)S_(3))is a promising anode for lithium-ion batteries due to its high capacity and vast ***,the low electronic conductivity and severe volume change during cycling hinder its *** our work,a three-dimensional(3D)Sb_(2)S_(3) thin film anode was fabricated via a simple vapor transport deposition system by using natural stibnite as raw material and stainless steel fiber-foil(SSF)as 3D current collector,and a carbon nanotube interphase was introduced onto the film surface by a simple dropping-heating process to promote the electrochemical *** 3D structure can greatly improve the initial coulombic efficiency to a record of 86.6% and high reversible rate capacity of 760.8 mAh·g^(-1) at 10 *** carbon nanotubes interphase modified,the Sb_(2)S_(3) anode cycled extremely stable with high capacity retention of 94.7% after 160 *** work sheds light on the economical preparation and performance optimization of Sb_(2)S_(3)-based anodes.

关键词： three dimensions antimony sulfide anode carbon nanotubes interphase lithium-ion batteries

The analysis of second-order sloshing resonance in a 3-D tank

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Journal of Hydrodynamics 2014年第2期26卷 309-315页

作者：张洪生吴鹏飞刘文白 College of Ocean Science and Engineering Shanghai Maritime University

Based on the potential theory and perturbation techniques, the problem of second-order sloshing in a three-dimensional tank in combination with surge and sway motions is analyzed. When excitation is applied in both horizontal directions, the second-order resonance can occur when the sum frequency or the difference frequency of any two excitation components is equal to one of the natural frequencies. The resonance can also occur when the sum or difference frequency of one of the excitation frequencies and one of the natural frequencies is equal to another natural frequency.

关键词： sloshing second-order resonance three dimensions coupling terms

three-dimensional Extension of the Unit-Feature Spatial Classification Method for Cloud Type

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Advances in Atmospheric Sciences 2011年第3期28卷 601-611页

作者：张成伟郁凡王晨曦杨建宇 Key Laboratory of Mesoscale Severe Weather of Ministry of Education Nanjing University Meteorological Observatory of Shenzhen Air Traffic Management Station of CAAC

We describe how the Unit-Feature Spatial Classification Method(UFSCM) can be used operationally to classify cloud types in satellite imagery efficiently and *** using a combination of Interactive Data Language(IDL) and Visual C++(VC) code in combination to extend the technique in three dimensions(3-D),this paper provides an efficient method to implement interactive computer visualization of the 3-D discrimination matrix modification,so as to deal with the bi-spectral limitations of traditional two dimensional(2-D) *** case study of cloud-type classification based on FY-2C satellite data (0600 UTC 18 and 0000 UTC 10 September 2007) is conducted by comparison with ground station data, and indicates that 3-D UFSCM makes more use of the pattern recognition information in multi-spectral imagery,resulting in more reasonable results and an improvement over the 2-D method.

关键词： cloud-type classification unit-feature spatial classification method three dimensions

Green Functions with Pulsating Sources in A Two-Layer Fluid of Finite Depth

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China Ocean Engineering 2011年第4期25卷 609-624页

作者： MANYANGA D.O 段文洋 College of Shipbuilding Harbin Engineering University

The derivation of Green function in a two-layer fluid model has been treated in different ways. In a two-layer fluid with the upper layer having a free surface, there exist two modes of waves propagating due to the free surface and the interface. This paper is concerned with the derivation of Green functions in the three dimensional case of a stationary source oscillating. The source point is located either in the upper or lower part of a two-layer fluid of finite depth. The derivation is carried out by the method of singularities. This method has an advantage in that it involves representing the potential as a sum of singularities or multipoles placed within any structures being present. Furthermore, experience shows that the systems of equations resulted from using a singularity method possess excellent convergence characteristics and only a few equations are needed to obtain accurate numerical results. Validation is done by showing that the derived two-layer Green function can be reduced to that of a single layer of finite depth or that the upper Green function coincides with that of the lower, for each case. The effect of the density on the internal waves is demonstrated. Also, it is shown how the surface and internal wave amplitudes are compared for both the wave modes. The fluid in this case is considered to be inviscid and incompressible and the flow is irrotational.

关键词： Green function two-layer fluid three dimensions singularities method

three-dimensional massive Kiselev AdS black hole and its thermodynamics

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Communications in Theoretical Physics 2021年第10期73卷 158-164页

作者： Yuan-Zhang Cui Wei Xu School of Mathematics and Physics China University of GeosciencesWuhan 430074China

We present an exact three-dimensional massive Kiselev AdS black hole solution. This Kiselev black hole is neither perfectly fluid, nor is it the quintessential solution, but the BTZ black hole modified by the anisotropic matter. This black hole possesses an essential singularity at its radial origin and a single horizon whose radius will increase monotonically when the parameter of the anisotropic matter field ω decreases. We calculate all thermodynamic quantities and find that the first law of thermodynamics of this massive Kiselev AdS black hole can be protected, while the consistent Smarr formula is only held in the extended thermodynamic phase space. After examining the sign of free energy, we conclude that there is no Hawking-Page transition since the massive Kiselev AdS black hole phase is always thermodynamically favored. Moreover, we study the phase transition between the Kiselev AdS black hole and BTZ black hole by considering the matchings for their temperature. We find that the Kiselev AdS black hole is still a thermodynamically more preferred phase, because it always has a smaller amount of free energy than the BTZ black hole, which seems to indicate that the anisotropic matter field may emerge naturally in BTZ black hole spacetime under some thermal fluctuations. We also show a first order phase transition between the Kiselev AdS black hole phase with -1three dimensions, it provides important clues to further investigate these both surprising and similar behaviors in four and higher dimensions.

关键词： Kiselev black hole black hole thermodynamics three dimensions

A PENALTY-EQUILIBRATING HYBRID STRESS 3-D ELEMENT

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Acta Mechanica Solida Sinica 1998年第1期11卷 46-55页

作者： Liu Weiqun Wu Changchun Univ Sci & Technol China Dept Modern Mech Hefei 230027 Peoples R China

This paper presents a theory about penalty-equilibrating(PEQ)hybrid element of three dimensions (3-D), and generates a model forthe PEQ hybrid stress 3-D element. By the PEQ ap- proach, the falsestress is avoided and the precision in calculation is raised to alarge extent under the mesh distortion condition without anotheradditional degree of freedom. In the results of numerical ex- amples,the present element is compared with the 8-node hexahedron elementand the optimized hybrid element, and it is proved that ourconclusion is correct. In addition, the penalty-equilibrating hybrid3-D element is taken as a trial to calculate problems of square platebending and incompressibility. The results obtained are satisfactory.

关键词： three dimensions penalty-equilibrating hybrid element mesh distortion