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    Numerical simulation of transient conjugate heat transfer with internal heat sourcesa
    Jiang Peixue, Ke Daoyou, Ren Zepei
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    1999, 16 (3): 302-308.  
    Abstract380)      PDF (371KB)(17130)      
    Conjugate heat transfer of transient thermal conduction,natural convection and thermal radiation with internal heat sources is simulated numerically using PHOENICS(Version 1.4) with the false density method.The flow field and temperature distribution are calculated using both the body fitted coordinates and Cartesian coordinates.The variation of the maximum temperature in the substance with internal heat sources is presented as function of the environmental temperature.
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    A Calculation of Electron Hall Mobility in SiC
    WANG Ping, YANG Yin-tang, YANG Yan
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2006, 23 (1): 80-86.  
    Abstract309)      PDF (282KB)(10901)      
    With analysis of conduction band structure and isotropic relaxation time approximation, an analytical model for the electron Hall mobility and Hall scattering factor of n-type 6H-SiC is proposed. The impact of different scattering mechanisms on the low field electron transport in 6H-SiC is illustrated clearly. Three ellipsoidal and parabolic constant energy surfaces simplification are used. The calculated results are in good agreement with physical measurements.
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    Digital Density in Hamaker Micro Continuum Medium Principle and Hamaker Constant
    TIAN Wen-chao, JIA Jian-yuan, CHEN Guang-yan
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2006, 23 (3): 366-370.  
    Abstract255)      PDF (196KB)(7900)      
    Based on Hamaker's hypothesizes and Lennard-Jones potential, a model of rigid sphere-panel nano-contact was presented to solve microcollision and nanocontact problems. The adhesion equations between the sphere and the first layer atoms or the N layer atoms of the panel were obtained by a continuum method. It is shown that the Hamaker's micro continuum medium principle is held only as the interaction distance 7 times greater than the atomic radius.
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    FINITE VOLUME METHODS FOR SOLVING THE PROBLEM OF DISCONTINUOUS SOLUTION
    WANG Ji-wen, LIU Ru-xun
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2001, 18 (2): 97-105.  
    Abstract377)      PDF (342KB)(5334)      
    A speedily developed numerical method called as finite volume method (FVM),which possesses both merits of finite difference method and finite element method,is devoloped.The construction of FVM for conservation laws is introduced.Especially,some efficient and successful schemes for solving the discontinuous problems are discussed in detail.Moreover,several numerical results of simulation of 2D dam break problem are given.Finally,a summary of advances in numerical applications and theoretical analysis of FVM is presented.
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    A High-order Unstructured-grid WENO FVM for Compressible Flow Computation
    LEI Guodong, LI Wanai, Ren Yuxin
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2011, 28 (5): 633-640.  
    Abstract521)      PDF (946KB)(2349)      
    A general high-order unstructured-grid finite volume method based on least-square reconstruction and WENO limiter is presented.Some of the neighboring cells are employed to construct high-order polynomials.a least-square method is used tO solve overdetermined problem.The number of neighboring cells can be reduced with a general method,which saves memory and computing time. To achieve uniform accuracy and depress non-physical oscillation of conservation laws,a WENO limiter and rotated Riemann solver are employed.Two classical cases are provided to show resolution differences between high-order schemes and the second order scheme based on gradient reconstruction and Bath and Jesperson limiter.
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    A Review of Algorithms and Applications of Solvers with Quantum Computing Acceleration
    Kang XU, Zeyang LI, Zhufeng GUO, Yingtong SHEN, Wei WANG, Minhui GOU, Zizheng WANG, Yukun WANG, Weifeng LIU
    Chinese Journal of Computational Physics    2024, 41 (1): 131-150.   DOI: 10.19596/j.cnki.1001-246x.8778
    Abstract611)   HTML26)    PDF (1957KB)(1550)      

    Quantum computing is a new computing model based on the principles of quantum mechanics. Because of its powerful parallelism far superior to classical computing, quantum computing is considered as a computational method that may have a subversive impact on the future, providing a new way to solve some complex problems. The algorithms and applications of quantum solvers in numerical computation-related problems of large-scale science and engineering are reviewed. In particular, systems of linear equations, eigenvalue problems, differential equations, Hamiltonian and graph computation, quantum machine learning, quantum solver platform, and practical numerical simulation have been introduced. Aiming at different numerical computing problems, the current mainstream quantum computing algorithms are introduced in detail, and the research progress of relevant algorithms at home and abroad in recent years is comprehensively summarized. Finally, the future development trend of quantum computing in numerical algebra solving is prospected.

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    Simulation of Phase Transition with Lattice Boltzmann Method
    ZHAO Kai, LI Qiang, XUAN Yimin
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2008, 25 (2): 151-156.  
    Abstract292)      PDF (428KB)(2108)      
    A lattice Bohzmann model is established to describe liquid-vapor phase transitions using a model proposed by Shan instead of the R-K model. Evaporation from a higher density phase to a lower density phase is simulated. The model improves calculation efficiency and obtains good results. The model is also used to simulate phase transitions in porous media with a pore scale to demonstrate feasibility of the model for complicate phase transition problems.
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    Progress in Numerical Methods for Radiation Diffusion Equations
    YUAN Guangwei, HANG Xudeng, SHENG Zhiqiang, YUE Jingyan
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2009, 26 (4): 475-500.  
    Abstract581)      PDF (1809KB)(3806)      
    Radiative transfer in fluid flow of radiation hydrodynamics is studied.Kinetic laws under radiation condition are investigated.Practical radiation hydrodynamics process is complicated,and numerical simulation is one of primary research means.Splitting methods are often used in numerical simulation,in which fluid motion and radiation are computed separately.We discuss computational problems in radiation diffusion calculations.Diffusion schemes and nonlinear iterative methods on severely distorted meshes are studied.A brief introduction on research progress is given.
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    Development and Application of Multi-dimensional Particle-in-cell Codes for Investigation of Laser Plasma Interactions
    CHEN Min, SHENG Zhengming, ZHENG Jun, MA Yanyun, ZHANG Jie
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2008, 25 (1): 43-50.  
    Abstract563)      PDF (637KB)(2268)      
    A multi-dimensional particle-in-cell code KLAP is introduced. Field ionization, impact ionization and two body collision are considered in a one-dimensional code. Moving window technology is used in a three-dimensional code to study laser wakefield acceleration in GeV region. Terahertz radiation, laser propagation in neutral gas medium, surface electron acceleration as well as GeV electron generation in laser wakefield acceleration are studied.
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    SEMD: A Cross-platform Automatic Performance Optimization Programming Tool for Real Numerical Simulation Software
    Peng ZHANG, Aiqing ZHANG, Zeyao MO, Jingtao WANG
    Chinese Journal of Computational Physics    2024, 41 (1): 52-63.   DOI: 10.19596/j.cnki.1001-246x.8777
    Abstract272)   HTML6)    PDF (14870KB)(1169)      

    Aiming at the lack of reusability and portability in the manual optimization of software, we propose and implement SEMD, a cross-platform automatic performance optimization programming tool for numerical simulation software. It abstracts numerical computing loop programming using high-level semantics, which is prevalent in the field of numerical simulation, completely shielding underlying hardware features and performance optimization implementations. Therefore, any numerical subroutines written based on SEMD can attain automatic cross-platform performance portability. Our tests demonstrate that SEMD's performance optimization effects exceed those of comparable products on three different processor architectures, including X86, ARM and GPU. Furthermore, SEMD has been successfully applied in the development of four real numerical simulation software programs in the fields of structure, fluid, and electromagnetic, resulting in an average performance improvement of 164% on hotspot subroutines.

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    Discontinuous Finite Element Methods for Solving Hydrodynamic Equations
    YU Xi-jun, ZHOU Tie
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2005, 22 (2): 108-116.  
    Abstract768)      PDF (509KB)(3233)      
    The discontinuous finite element method with first, second and third order accuracy on triangular meshes on two-dimensional domain is applied to simulate hydrodynamic equations. The calculation results are compared with those from difference methods. It is reckoned that the discontinuous finite element method has advantages in solving hydrodynamic problems with complicated boundary conditions or a domain with a complicated boundary.
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    Configuration and Stability of TiO2-rutile Doped with VB Metal Ions: Molecular Dvnamics Simulation
    PAN Haibo, ZHANG Lipen, HUANG Jinling
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2009, 26 (4): 609-616.  
    Abstract302)      PDF (493KB)(1668)      
    Molecular dynamics simulation is made to study configuration and total energy of 0.5 mol%,2.1mol%,3.8mol% VB transition metal ions (V5+,Nb5+,Ta5+)/TiO2 in rutile at 300K and 101 325 Pa.As 2.1mol% Ti4+ is substituted by dopants,configuration remains well with less mean-square displacements (MSDs),distinct planes of atoms and higher stability.Nb5+ incorporates into TiO6 octahedra well and shows a large solubility in TiO2 compared with V5+ or Ta5+ due to comparable valence and ionic radius between Nb5+ and Ti4+.
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    Monte Carlo Simulation of 3-dimensional Ising Model
    HUANG Chunqing, DENG Shaojun
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2009, 26 (6): 937-941.  
    Abstract698)      PDF (275KB)(1853)      
    A 3-dimensional Ising model is simulated with Monte Carlo importance sampling method. Statistical values of energy, strength of magnetization, specific heat and rate of magnetization of spin links as well as their standard errors (uncertainties) are measured. 3-dimensional Ising model shows spontaneous magnetization with no exterior magnetic field. Critical point of phase transformation is at J/(kBTc)=0.222 0 or Tc=4.500 0. Phase transformation at high temperature disappears with exterior magnetic field. Relationship between physical quantities, temperature and exterior magnetic field is investigated and analyzed.
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    Boundary Conditions in Lattice Boltzmann Method
    NIE De-ming, LIN Jian-zhong
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2004, 21 (1): 21-26.  
    Abstract819)      PDF (250KB)(3775)      
    Comparison and discussion of several boundary conditions in lattice Boltzmann method are presented. To achieve improved accuracy, a new method based on the idea of standard bounce-back scheme is proposed. Numerical simulations for two-dimensional Poiseuille flow and unsteady Couette flow are carried out using d2q9 model, and the results are identical to the analytical solutions. The convergence for different boundary treatments is discussed by changing single relaxation time τ and Re number. The results show that LBM can recover Navier-Stokes equation at low Mach number. It is also indicated that the errors for large τ are much bigger than those for τ close to 1.
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    Key Technologies of Coupling for Multiphysics in Numerical Reactor
    DENG Li, SHI Dunfu, LI Gang
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2016, 33 (6): 631-638.  
    Abstract1066)   HTML116)    PDF (1623KB)(3454)      
    With rapid development of computer and super computation, coupling for multi-physics,multi-scale and multi-process has become possible. Some lone process are integrated together. Some approximates from experience will be removed after all of the processes to be considered. This work is based on a virtual reactor. The goal is to improve precision by improvement of modeling and high fidelity computation. At present, study measures are changed from experiment and engineer dependent to theory analysis and numerical simulation. Numerical simulation will become more and more important. In this paper, CASL and NURESAFE are introduced. Then, several challenges, which include key technologies of software, are put forward in development of nuclear energy. Finally, suggestions are given for numerical reactor. It is only for reference and discussion.
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    Computational Electromagnetics and Applications in Numerical Simulation of Electromagnetic Environmental Effects and Development Tendency
    ZHOU Haijing, LIU Yang, LI Hanyu, DONG Ye, LIAO Cheng, DONG Zhiwei, MO Zeyao
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2014, 31 (4): 379-389.  
    Abstract552)      PDF (1859KB)(2275)      
    A brief introduction to development history of computational electromagnetics(CEM) and numerical methods in CEM is provided. In addition, we discuss up-to-date progress of CEM in scientific researches, commercial softwares and proprietary softwares. Considering applications of electromagnetics environmental effects (E3), we present development of our numerical simulation platform of E3. Finally, future trends of development in E3 are shown.
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    Progress in Research on Stochastic Neutron Dynamics and Its Numerical Simulation
    YANG Junyun, YING Yangjun, XIAO Gang
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2017, 34 (2): 127-141.  
    Abstract763)   HTML119)    PDF (2459KB)(3319)      
    Stochastic neutron dynamics is important task in nuclear power plant design and nuclear reactor safety. In this paper, basic concepts and research methods for stochastic neutron kinetics are introduced and historical development and research status in the field are sketched out. Multiplicities of fission neutrons and photons are main sources of zero power reactor noise. Based on description equation of neutron fluctuation and its solution, stochastic theory of zero power and power reactor noise is evolved. Stochastic neutron dynamics are applied in important areas such as reactivity microscopic measurement, power reactor noise measurement and analysis, nuclear criticality excursion analysis, nuclear material detection and identification and so on. In the past half century, however, it lacks available method and tool to implement quantitative analysis of problems such as probability distribution of burst waiting time of neutron initiation in pulse reactor. In recent years, important progress is made in generalized semi-Markov process simulation method, which is applied to stochastic neutron kinetic process simulation. It reveals inherent law of neutron initiation experiments conducted in pulse reactor. At last, research topics to be solved in stochastic neutron dynamics are discussed.
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    Computing fractal dimension and the kolmogorov entropy from chaotic time series
    Zhao Guibing, Shi Yanfu, Duan Wenfeng, Yu Huarui
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    1999, 16 (3): 309-315.  
    Abstract516)      PDF (279KB)(2426)      
    On the basis of the G-P algorithm it proposes an optimal algorithm for computing simultaneously the correlation dimension and the Kolmogorov entropy from time series.The correlation dimension obtained from this method is optimal and the stable estimation of the Kolmogorov entropy is also obtained.The applicability of the method is illustrated with two examples,viz.,the Lorenz attractor and Rossler attractor.
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    SMOOTHED PARTICLE HYDRODYNAMICS (SPH) METHOD (A REVIEW)
    Zhang Suochun
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    1996, 13 (4): 385-397.  
    Abstract583)      PDF (435KB)(3024)      
    This paper describes a new and pure Lagrangian method——called "Smoothed Particle Hy drodynamics" (SPH) method. The method is to actually evaluate spatial gradients without the use of any grid. Thus it does not suffer form the severe problems always associated with mesh tangling and distortion. Therefore it can be applied to multidimensional hydrodynamics which could effectively model three-dimensional systems which lack symmetry and possess large voids. At first, the paper gives an introduction to theoretical basis to SPH. Emphasis is given to a proper derivation of the SPH equations from the hydrodynamical conservation equations. Discussion covers some relative problems such as artifical viscosity, thermal conduction, self-gravity and sink and magnetic fields, choosing the smoothing kernels, and implementation of SPH code, etc.
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    Global Sensitivity Analysis Based on Polynomial Chaos
    HU Jun, ZHANG Shudao
    CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2016, 33 (1): 1-14.  
    Abstract360)   HTML14)    PDF (658KB)(2194)      
    Global sensitivity analysis method based on polynomial chaos and variance decomposition is reviewed comprehensively. In order to alleviate "curse of dimensionality" coming from high-dimensional random spaces or high-order polynomial chaos expansions, several approaches such as least square regression, sparse grid quadrature and sparse recovery based on l1 minimization (i. e. compressive sensing) are used to reduce sample size of collocation points that needed by non-intrusive polynomial chaos method. With computation of Sobol global sensitivity indices for several benchmark response models including Ishigami function, Sobol function, Corner peak function and Morris function, effective implementations of polynomial chaos method for variance-based global sensitivity analysis are exhibited.
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