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25 June 1989, Volume 6 Issue 2 Previous Issue    Next Issue

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MODAL GREEN'S FUNCTION METHOD SOLVING TWO-DIMENSIONS HEAT CONDUCTION PROBLEM FOR FUEL ELEMENT IN REACTOR Tang Jian, Peng Muzhang, Cao DongXing 1989, 6(2): 129-138.  Abstract ( )   PDF (580KB) ( )   A new numerical method-nodal green's function method is used for solving heat conduction function. A heat conduction problem in cylindrical geometry with axial conduction is solving in this paper.The Kirchhoff transformation is used to deal with the problem with temperature dependent conductivity. There for the calculation for the function is simplified. On the basis of the formulas developed, the code named NGMEFC is programmed. A sample problem which has been calculated by the code GOBRA-Ⅳ is chosen as the check problem. A good agreement is achieved between both codes.The calculation shows that the calculation efficiency of the nodel green's function method is much higher than that of finite difference method.

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THE STUDY OF BASIS FUNCTION IN LAPW METHOD AND WORK FUNCTION OF OVERLAYER-SUBSTRATE SYSTEM Chen Lujun, Luo Enze, Wang Ning, Wang Dingsheng 1989, 6(2): 139-148.  Abstract ( )   PDF (638KB) ( )   A method with a set of improved basis functions in vaouum-jellium region for Film-LAPW, method suited to jellium/slab model is proposed. The calculations for examination of this method, with three layers of W slab to simulate the W(100) surface covered with Cs overlayer is made. The results are more stabilized and accurate, and are much closer to experiments. The contribution weights of each vaccum basis function to the wave function is analysed.

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APPLICATION OF ALTERNATING DIRECTION IMPLICIT METHOD FOR THE NUMERICAL SIMULATION ON THE STORM SURGES CAUSED BY TYPHOON 8007 Xu Xuerong 1989, 6(2): 149-158.  Abstract ( )   PDF (551KB) ( )   In this paper, the ADI method for the numerical simulation on the storm surges caused by typhoon 8007 is introduced. Four finite difference schemes are dssiqned. The hurficane model NWS23 is improved, and the simulated results show that the computations are in good agreement with observations.

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A. NUMERICAL SIMULATION OF TEMPERATURE FIELD IN THE DEEP UNDERGROUND UNSTEADY FLOW Hu Jianwei, Tian Chunsong 1989, 6(2): 159-168.  Abstract ( )   PDF (618KB) ( )   In this paper a mathematical model for temperature field in deep underground unsteady is developed. We have to deal with two coupled convective-diffusion equations in three dimensional space and we propose a reduced equation, which is a single integro-differential equation, of the coupled system.In order to reduce greatly both the memory requirements and the computational effort, for its numerical approximation our particular concern will be in the treatment of the integral term. We also show some numerical examples.

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THE MULTI-CONFIGURATION DIRAC-FOCK CALCULA-TIONS OF NE-LIKE CaXI AND MnXVI 2P53L OR 4L-4L1 TRANSITION WAVELENTHS AND THE FINE-STRUCTURE ENERGIES Liang Aihua, Zhang Tonfa, Pan Shoufu 1989, 6(2): 169-178.  Abstract ( )   PDF (556KB) ( )   The fine-structure energies of 2P531 and 2P541 and transition wavelengths of 2P531-4l1 and 41-411 have been calculated with the MCDF computer code for Ne-like CaXI, and MnXVI ionswhich may be the candidates for lasing action in the extreme vacuum ultraviolet region.Calculated transition wavelengths for 31-411 are good agreed with observed wavelenths.41-411 possible transition wavelengths are predicted.

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A EFFICIENT METHOD FOR DETERMING D-SET Li Fenglin 1989, 6(2): 179-190.  Abstract ( )   PDF (704KB) ( )   In this paper, the Computational methods for determing the D-set defined in [1] are Considered, particularly, for the,D-set presented in [2] with more practical value, we give a efficient algorithm and discuss its mathematical principle and implement procedure. Otherwise, Some simple properties aboutδ((Pisi)(i=1,2,…,K)are described and a numerical example .to show the correctness of the procedure is given.

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THE METHOD OF CONJUGATE FUNCTION FOR BOUNDARY ELEMENT TECHNIQUE Xuan Qiwo, Wu Ciquian 1989, 6(2): 191-196.  Abstract ( )   PDF (372KB) ( )   Boundary element method (BEM) is usually done by only one boundary integral equation (BIE).The ordinary BIE for potential in the plane is of the second kind for potential U, but is of the first kind for potential derivative ∂Ω.In order to result in diagonal dominance of the control system of equations of BEM for mixed boundary value problem, we present an improvements that using the ordinary control system on the NEUMANN boundary segment,but the control system of the conjugate harmonic function on the DIRICHLET boundary segment.Some examples for computing the capacitance density of two-wire transmission lines are given.which indicate the method of conjugate function has higher accuracy than ordinary BEM.

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JACOBIAN PROCEDURE FOR HERMITIAN MATRIX EIGENVALUE PROBLEM WITH APPLICATION TO VIBRATIONS OF CYCLIC SYMMETRIC STRUCTURES Song Jiasu 1989, 6(2): 197-204.  Abstract ( )   PDF (526KB) ( )   By the use of an appropriate transform matrix, the explicit formulation of Jacobian procedure for Hermitian matrix eigenvalue problem is presented. This algorithm from which the practical subroutine can be obtained is applied to the vibrations of cyclic symmetric structures. Examples and comparison are given.

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MONTE CARLO SIMULATION ON LANGEVIN EQUATION Xu Shuyan, P. Fröbrich 1989, 6(2): 205-214.  Abstract ( )   PDF (573KB) ( )   General forms of Langevin equation are related briefly; Some basic steps solving this kind of equation are described; Two examples are given; Some quastions are discussed.

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NUMERICAL SIMULATION OF MILLIMETRE WAVE FEL AMPLIFIERS WITH RECTANGULAR WAVEGUIDE Wang Taichun, Yang Zhenhua, Tian Shihong, Ding Wu 1989, 6(2): 215-227.  Abstract ( )   PDF (752KB) ( )   From Single Particle theory, we derived Simulant equations with rectangular waveguide and obtained calculating formulas of TEmn and TMmn mode.Under the same conditions of calculation, it was shown that the results of the reduced one dimension is the same as those of one dimension.Our results are relatively near to LLNL's when only TE01 mode is considered.With the two dimension code FEL-2-A on the basis of investigating its reliability,we analysed the effect on total output power by wtggler field of different linearly polarized,optical field and electron beam parameters under the conditions of constant wig-gler and different linearly polarized wiggler.These preliminary results will be of some reference value to design and experiment of low energy FEL amplifier.

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NONUNIQUE SOLUTION PROBLEM IN THE COMPUTATION OF TRANSONIC POTENTIAL FLOW Liu Ping, Luo Shijun 1989, 6(2): 228-232.  Abstract ( )   PDF (309KB) ( )   An implicit approximate factorization scheme(AF2) is employed in this paper to obtain the numerical solutions of TSD and TSTD equation.the numerical experiments show that:1.the solutions are nonunique for different initial φ.2.the solutions are nonunique for different relaxation factors or different accelerate parameters.

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A FINITE ELEMENT METHOD FOR SOLVING THE SHALLOW TIDAL WAVE PROBLEM Liu Yue 1989, 6(2): 233-240.  Abstract ( )   PDF (447KB) ( )   This paper presents a numerical method for solving the two-dimensional long-wave equations given by [1],Since the method needn't treat the integral on the boundary, not only the amount of data preparations on the numerical computation is reduced, the computing, time is shortened, the computing error is lowered, but also the interference of the short-wave noise cited in [2] does not appear.The M2 component tide in the Bohai Sea is calculated by the method give in this paper. It is more satisfacting that the calculated result coincided with the observed data.

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THE TIME STEP PROBLEM OF MONTE-CARLO SIMULATION FOR LANGEVIN EQUATION Bao Jingdong, Xu Shuyan, Zhuo Yizhong 1989, 6(2): 241-247.  Abstract ( )   PDF (436KB) ( )   In this paper, The statistical laws satisfied by the random force of the Langevin equation in physics are discussed.The Monte-Carlo method is used to simulate the motion of Browian particles in the ha ornic oscillator potential with a computer germinated the Gaussian random numbers.The variation of the solutions of the Langevin equation with time step is studied. A foundation of the numerical calculation for such a problem is provided.

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STUDY ON MODEL GENERATING SYSTEM OF AGRICULTURAl DEVELOPMENTE PROGRAMMING Yu Suhua, Wang Lizhong, He Jiankun 1989, 6(2): 248-256.  Abstract ( )   PDF (580KB) ( )   Installed on personal kind of computers, the model generating system of agricultural development programming has been established for desision makersin rural areas.All data of the system are managed by CDBASE-Ⅲ three types of models can be produced and solfed by the system. In addition, the output of modelscould be changed into the pattern of MPS (Mathematic Programming Software) so as to be solved in other kinds of computers.