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中文
Archive
25 November 1999, Volume 16 Issue 6
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Quadrature methods with high accuracy and their extrapolations for solving boundary integral equations of stead stokes problem
Lü Tao, Huang Jing
1999, 16(
6
): 561-567.
Abstract
(
)
PDF
(257KB) (
)
By means of Side Israeli's quadrature rules,quadrature methods for solving boundary integral equations of steady Stokes problem are presented,which possess high accuracy and low computing complexities.Moreover,the asymptotic expansions with the odd powers of the errors occur which can improve the accuracy order of the approximations by Richardson's extrapolation.
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Identification of primary proton component at the knee with artificial neural networks
Feng Cunfeng, Kong Fanmin, Zhang Xueyao, He Mao, Dai Zhiqiang, Zhang Naijian
1999, 16(
6
): 568-572.
Abstract
(
)
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(212KB) (
)
A Monte Carlo simulation for the hybrid experiment of air shower array and emulsion chambers at Yangbajing is done with different interaction models.The feasibility of distinguishing primary cosmic ray components by use of the method of artificial neural netwo rks is studied with the simulation data.T he analysis indicates that the showers induced by primary protons can be efficiently selected by using this method, but the results obtained appear to be dependent on interaction model.The corresponding systematic error is also estimated.
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Monte carlo simulation of cerenkov light from extensive air showers
Zha Min, Zhu Qingqi, Ding Linkai
1999, 16(
6
): 573-579.
Abstract
(
)
PDF
(295KB) (
)
In regard to the necessity of the study of high energy cosmic ray extensive air showers,a new Monte Carlo software is made which can simulate the hadron component,electromagnetic component and Čerenkov component of extensive air showers.This simulating program aims not only at the physics analysis of the EAS experiment of Mountain Liang-wang,but also at offering some samples that can be commonly used by other EAS experiments.
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A numerical method for statistics fluctuation problem of neutron fission chains
Xu Naixin, Tang Minjun
1999, 16(
6
): 580-586.
Abstract
(
)
PDF
(256KB) (
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A numerical method of the statistics fluctuation problem of fission chains is studied for fission system driven by a weak neutron source.Constructing model of numerical simulation,analysis of numerical method,examinations of numerical simulation,demonstrating of numerical simulation for a kind of problem have been done.Examinations of numerical simulation for special example indicated that so long as the order of the system of numerical siumlation (
N
) is large sufficiently,numerical solutions satisfy normalization (conservation) law、population growth exponential law,and approach to the exact analytic solution.An one-diminsional equivalenly modelling numerical method is presented for statistics fluctuation problem of neutron fission chains in unsteady fission system.
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Numerical simulation of melting in an enclosure with discrete protruding heat sources
Jiang Hongli, Chen Zhongqi, Xu Tongmo, Hui Shien
1999, 16(
6
): 587-591.
Abstract
(
)
PDF
(207KB) (
)
The enthalpy method is employed to numerical simulation of melting heat transfer in an enclosure with three discrete protruding heat sources on one of its vertical walls and all the other walls insulated.Numerical results have been compared with previous experimental results.It is found that discrete protruding heat sources have important influence on the shape of melting interface.
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Scattering phase function for fibrous layer considering fiber orientation
Li Bingxi, Bie Rushan, Lu Huilin, Yang Lidan
1999, 16(
6
): 592-598.
Abstract
(
)
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(301KB) (
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Phase functions for fibrous layer are obtained for two types of fiber orientation:randomly oriented in space and randomly oriented in a plane parallel to the boundary surfaces of the layer.Two types of incident radiation are considered,namely,the radiation normal to the boundaries and the diffuse radiation.The phase functions for the fibrous layer are derived as a function of the polar angle measured within a coordinate system fixed to the fibrous layer.The effects of the type of incidence,size parameter,fiber orientation and complex refractive index are studied.
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Effect of reaction heat on helical instability of arcs in axial magnetic field
Gong Ye, Zhang Pengyun
1999, 16(
6
): 599-605.
Abstract
(
)
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(248KB) (
)
The helical instability of an arc column with electrical conductivity of the parabolic distribution,transparent radiation of the parabolic distribution and constant reaction heat is discussed in an axial magnetic field.The magnetohydrodynamic equations serve as the starting point of the theory.In an electrostatic approximation and a linear time dependent perturbation theory,the perturbation equations for the arc column movement are deduced.Solutions of these equations are obtained analytically,from which the stability limit of the cylindrical arc and the growth rate of the helical instability are given.In comparison with the results without reaction heat,it is found that the reaction heat increases the helical instability.
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Calculation of neutral atom density distributions in tokamaks with monte carlo method
Zhang Xianmei, Li Youyi, Wan Baonian
1999, 16(
6
): 606-609.
Abstract
(
)
PDF
(172KB) (
)
Monte Carlo method has been used to calculate neutral atom density distributions in Tokamaks. Numerical results for HT-6B, HT-6M are in good agreements with the experimental data.
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Numerical simulation of the plasma flow in laser hohlraum target
Duan Qingsheng, Chang Tieqiang, Zhang Weiyan, Wang Guangyu, Wang Chongji
1999, 16(
6
): 610-615.
Abstract
(
)
PDF
(271KB) (
)
It presents some numerical methods to simulate the complicated behavior of the plasma flow in laser hohlraum target, Which include adaptive technique of the meshes and moving grid method, etc. The calculated results show that these methods are effective.
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Numerical simulation of three dimensional quasisteady state laser melted pools on the non-staggered grids
Zeng Dawen, Huang Kaijing, Xie Changsheng
1999, 16(
6
): 616-623.
Abstract
(
)
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(322KB) (
)
With the non-staggered grids,a three-dimensional quasi-state laser remelting problem,considering heat transfer and fluid flow,is numerically simulated.A modified momentum interpolation scheme is used to solve momentum equations associated with SIMPLE algorithm.Numerical results show the important effect of surface tension temperature coefficient ∂
γ
/∂
T
on the fluid flow pattern.For ∂
γ
/∂
T
being -3.5×10
-6
,there is a first flow loop along clockwise in the melted pool;For ∂
γ
/∂
T
being -3.5×10
-4
,there is a secondary flow loop induced by the first flow loop.On the contrary,the first flow loop along anti-clockwise exists when ∂
γ
/∂
T
is+3.5×10
-4
.Laser surface phase transformation hardening (including laser remelting) experiments on HT200 cast iron blocks were carried out using a continuous wave CO
2
laser.The width and depth of the phase transformation hardened zone were measured.The numerical results are compared with experimental data.
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Calculations for eigenvalues of quasispin-angular momentun scalar oparator and complete classification of j-shell coupled states
Li Xiaomei, Chen Jianhua
1999, 16(
6
): 624-629.
Abstract
(
)
PDF
(227KB) (
)
By using the formalism ofsecond quantization and irreducible tensor,quasispin angular momentum scalaroperator
Z
(
K
),where
K
=2,…,2
j
,is constructed from 4 creation-annihilation operators.Theeigenvalues of
Z
(
K
) have special ability for classification of coupled states,by angular momentum
J
and quasispin
Q
the complete classification can be done only for
j
≤7/2,but by eigenvalues of
Z
(
K
)the complete classification have be donefor
j
≤15/2.The methods for calculating the eigenvalues of
Z
(
K
)are discussed,and the complete classifications for
j
≤15/2 are presented.
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A parallel algorithm for periodic tridiagonal linear systems for distributed memory systems
Chi Lihua, Liu Jie, Li Xiaomei
1999, 16(
6
): 630-637.
Abstract
(
)
PDF
(281KB) (
)
A parallel algorithm (PAA algorithm) is presented for the solution of diagonally dominant periodic tridiagonal linear systems. Its computation complexity is
O
(8
n
) and its communication complexity is
O
(1). But now the computation and communication complexity of the best parallel algorithm are
O
(17
n
) and
O
(log
P
) respectively. The PAA algorithm is implemented on the SGI Indy workstation cluster. The results show that the speed up has been improved linearly and the paralleling efficiency reaches to 90%.
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The calculation of electron structure using multigrid methods
Wang Yizhong
1999, 16(
6
): 638-641.
Abstract
(
)
PDF
(177KB) (
)
It develops an approach to calculating electron structure of atom cluster which has some symmetry by using the multigrid method,symmetry theory and famous Kohn-Sham equation in density-function theory and calculates the ground energy of H
2
molecule.The calculated result shows that the energy coincides well with result of other theory.
Select
Energy levels and oscillator strengths of Si
11+
Yan Gongjing, Zhou Zhongyuan, Pan Shoufu
1999, 16(
6
): 642-645.
Abstract
(
)
PDF
(162KB) (
)
Energy levels and oscillator strengths of Si
11+
are computed by using CI code CIV3.In the calculation all configuration interactions are taken into account for the various configurations formed by keeping one electron on 1s orbital and populating the two other electrons on the rest orbitals.It is shown that the oscillator strengths computed in such a way are much improved.
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The calculation of nematic order in liquid crystals formed by biaxial molecules
Zhang Zhidong, Zhang Dexian, Huang Ximin
1999, 16(
6
): 646-650.
Abstract
(
)
PDF
(199KB) (
)
The cell theory is used to study nematic liquid crystals formed by biaxial molecules. A new numerical method is developed to calculate the nematic order in liquid crystals. Without any functional expansions, accurate orientational distribution functions are obtained by using a newly iterative method to solve the equation of equilibrium state. The temperature dependences of the order parameter and of the internal energy per molecule are calculated, and the values of the relevant physical quantities at the nematic isotropic phase transition are given. Numerical results are in better agreement with the Monte Carlo simulation results than those of the molecular field theory.
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Improved PV-FD method and the fine description of the acoustic wave along borehole going through horizontal layer
Ma Jun Dong, Hefeng, Wang Kexie
1999, 16(
6
): 651-655.
Abstract
(
)
PDF
(288KB) (
)
It emphasizes on the research of effects of thin layer and fissure on the full waveform is acoustic well logging by using the numerical simulation in the improved pressure-velocity finite difference (PV-FD) method. Array acoustic wave train records are numerically simulated for many sorts of asymmetrical horizontal layers around boreholes. And the variable density pattern of the really measured acoustic waveforms recorded by moving well logging tool is also simulatingly calculated and drawn. Being amplified (through the limitation to Stoneley wave's amplitude), the propagation of different types of waves through interface or layer is finely described.
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Numerical simulation of axisymmetric vortex breakdown in a cylindrical container with a rotating lid
Liu Yingzheng, Chen Hanping
1999, 16(
6
): 656-660.
Abstract
(
)
PDF
(240KB) (
)
The comparison between the experimental visualizations by Escudier and Hide S.Koyama and numerical simulations of the development procedure of vortex breakdown in laminar swirling flow induced from a rotating endwall is presented. The experimental visualizations by Escudier were the first to reveal the presence of vortex breakdown phenomena in closed cylindrical container with a rotating lid. Afterwards, much experimental and numerical work was done in this research field. The accurate experimental measurements for the recurrence and development of vortex breakdown by Hide S.Koyama then make clear this phenomena. With numerical solution of unsteady axisymmetric Navier Stokes equations, the author accurately reproduces these phenomena. The numerical results are given and compared with experiments.
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A conservative numerical scheme for nonlinear Schrödinger equation
Zhang Luming, Chang Qianshun
1999, 16(
6
): 661-668.
Abstract
(
)
PDF
(288KB) (
)
A new conservative difference scheme is proposed for nonlinear Schrödinger equation, and its convergence and stability are proved. By means of numerical computing, the discretization for nonlinear term of nonlinear Schrödinger equation is discussed, and it is followed that the new difference scheme is better than the scheme of paper[7] which is a special case of the new scheme in precision, when suitable parameter is adopted.
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Investigation on generation of 2d unstructured grids and euler equations solution
Ye Zhengyin, Yang Yongnian, Zhong Chengwen, Zhang Zhongyin, Chen Yingchun
1999, 16(
6
): 669-674.
Abstract
(
)
PDF
(301KB) (
)
It focuses on an approach to generating 2D unstructured grids for the solution of Euler equations.Unlike the generation of unstructured grids before with background grids,the background information needed in Avancing Front Method is obtained directly with the distance to the airfoil surface.In solving the Euler equations,the cell centered finite volume method is used for space discretization,and four step Runge Kutta method is adopted for time marching.Two kinds of boundary condition are presented and three kinds of boundary conditions are applied and analyzed.The calculated results are given and discussed.
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The study on the method of surface numerical grid generation based on a parameter space
Jiang Lehua, Gu Zhengqi, Zhang Pifu, Huang Tianze
1999, 16(
6
): 675-681.
Abstract
(
)
PDF
(385KB) (
)
A method based on a non uniform parameter space is presented for surface numerical grid generation on any curvilinear surface. The corresponding software is developed and used successfully in the surface grid generation of automotive body with complex geometric configuration in the automobile aerodynamic computer simulation.
Select
A new approach to the thick laminated plates with clamped edges
Sheng Hongyu, Fan Jiarang
1999, 16(
6
): 682-687.
Abstract
(
)
PDF
(220KB) (
)
Based on the Refs.[1~3] and introducing boundary displacement functions, the state equation is established for thick laminated plates with clamped edges under any given loads and an analytical static solution is presented. The example illustrates that the method possesses some properties such as fast convergency and continuity for the boundary stresses.
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