共查询到20条相似文献,搜索用时 31 毫秒
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有限体积元数值方法在大气污染模式中的应用 总被引:2,自引:1,他引:1
运用有限体积元方法分析求解大气污染模型问题,分别选取试探函数空间和检验函数空间为一次元函数空间和分片常数函数空间,并且给出L2估计和H1估计,通过数值实验与有限差分方法进行分析与比较,说明其有效性.为改善大气污染问题的模拟提供实用有效的方法. 相似文献
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相移相位测量的全息再现算法及测量误差分析 总被引:2,自引:2,他引:0
用全息原理和方法研究相移相位测量,得到了N步整周期相移再现物光波复振幅同步叠加函数(N步相移函数),同时提出一种新的相移相位测量误差分析和最大误差估计方法。N步相移干涉图是以理想平行光为参考光的无衍射同轴全息图,将其与对应的相移参考光相乘后求和得到N步相移函数;在理想情况下,这是一种复振幅分离、测量和物光波复振幅函数同步叠加方法,存在误差时计算出的相位是最小二乘方法的最佳期望结果。利用N步相移函数得到的N 1步相移函数,说明非理想N步相移函数是理想N步相移函数与误差函数之和,可以把相位型误差转化为与振幅和强度相对误差同等的误差来对待,降低了相位测量中误差估计的难度,给出了N步相移算法最大误差的估计方法和公式。 相似文献
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Basic function method is developed to treat the incompressible viscous flow. Artificial compressibility coefficient, the technique
of flux splitting method and the combination of central and upwind schemes are applied to construct the basic function scheme
of trigonometric function type for solving three-dimensional incompressible Navier-Stokes equations numerically. To prove
the method, flows in finite-length-pipe are calculated, the velocity and pressure distribution of which solved by our method
quite coincide with the exact solutions of Poiseuille flow except in the areas of entrance and exit. After the method is proved
elementary, the hemodynamics in two- and three-dimensional aneurysms is researched numerically by using the basic function
method of trigonometric function type and unstructured grids generation technique. The distributions of velocity, pressure
and shear force in steady flow of aneurysms are calculated, and the influence of the shape of the aneurysms on the hemodynamics
is studied.
Supported by the National Natural Foundation of China (Grant Nos. 40874077, 40504020, and 40536029) and the National Basic
Research Program of China (Grant No. 2006CB806304) 相似文献
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针对计算机控制光学表面成形中光学表面存在中高频误差的问题,提出了一种基于驻留时间补偿的有效控制方法。分析了抛光误差的形成机理和影响因素,对系统的误差影响因素进行分类和定量描述,构建了抛光过程中磨损影响因子、浓度变化影响因子和系统影响因子。基于各影响因素的影响因子对抛光驻留时间的求解函数进行了修正,提出采用离散最小二乘法对修正的函数求解驻留时间。研究表明:这种补偿方法能提高计算机控制光学表面成形技术中加工模型的精度,减小光学表面的残余误差。 相似文献
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An improved boundary element-free method (IBEFM) for two-dimensional potential problems 总被引:1,自引:0,他引:1 下载免费PDF全文
The interpolating moving least-squares (IMLS) method is discussed
first in this paper. And the formulae of the IMLS method obtained by
Lancaster are revised. Then on the basis of the boundary
element-free method (BEFM), combining the boundary integral equation
(BIE) method with the IMLS method, the improved boundary
element-free method (IBEFM) for two-dimensional potential problems
is presented, and the corresponding formulae of the IBEFM are
obtained. In the BEFM, boundary conditions are applied directly, but
the shape function in the MLS does not satisfy the property of
the Kronecker δ function. This is a problem of the BEFM, and
must be solved theoretically. In the IMLS method, when the shape function
satisfies the property of the Kronecker δ function, then the
boundary conditions, in the meshless method based on the IMLS
method, can be applied directly. Then the IBEFM, based on the IMLS
method, is a direct meshless boundary integral equation method in
which the basic unknown quantity is the real solution of the nodal
variables, and the boundary conditions can be applied directly and
easily, thus it gives a greater computational precision. Some
numerical examples are presented to demonstrate the method. 相似文献
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本文采用非线性晶体调制函数曲线平移的计算方法和计算方程,并在实验上作了检证,绘制出电光晶体半波电压工作曲线、测试不同条件下的各种调制函数曲线和滞后回线。结果证明:电光晶体调制函数曲线平移法是一种有效制做非线性晶体半波电压Vn的光学方法。 相似文献
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An improved interpolating element-free Galerkin method with nonsingular weight function for two-dimensional potential problems 下载免费PDF全文
In this paper, an improved interpolating moving least-square (IIMLS) method is presented. The shape function of the IIMLS method satisfies the property of Kronecker δ function. The weight function used in the IIMLS method is nonsingular. Then the IIMLS method can overcome the difficulties caused by the singularity of the weight function in the IMLS method. And the number of unknown coefficients in the trial function of the IIMLS method is less than that of the moving least-square (MLS) approximation. Then by combining the IIMLS method with the Galerkin weak form of the potential problem, the improved interpolating element-free Galerkin (IIEFG) method for two-dimensional potential problems is presented. Compared with the conventional element-free Galerkin (EFG) method, the IIEFG method can directly use the essential boundary conditions. Then the IIEFG method has a higher accuracy. For demonstration, three numerical examples are solved using the IIEFG method. 相似文献
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An improved interpolating element-free Galerkin method with a nonsingular weight function for two-dimensional potential problems 下载免费PDF全文
In this paper, an improved interpolating moving least-square (IIMLS) method is presented. The shape function of the IIMLS method satisfies the property of the Kronecker δ function. The weight function used in the IIMLS method is nonsingular. Then the IIMLS method can overcome the difficulties caused by the singularity of the weight function in the IMLS method. The number of unknown coefficients in the trial function of the IIMLS method is less than that of the moving least-square (MLS) approximation. Then by combining the IIMLS method with the Galerkin weak form of the potential problem, the improved interpolating element-free Galerkin (IIEFG) method for two-dimensional potential problems is presented. Compared with the conventional element-free Galerkin (EFG) method, the IIEFG method can directly use the essential boundary conditions. Then the IIEFG method has higher accuracy. For demonstration, three numerical examples are solved using the IIEFG method. 相似文献
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YAN Zhen-Ya 《理论物理通讯》2002,38(10)
Recently, we obtained thirteen families of Jacobian elliptic function solutions of mKdV equation by usingour extended Jacobian elliptic function expansion method. In this note, the mKdV equation is investigated and anotherthree families of new doubly periodic solutions (Jacobian elliptic function solutions) are fbund again by using a newtransformation, which and our extended Jacobian elliptic function expansion method form a new method still called theextended Jacobian elliptic function expansion method. The new method can be more powertul to be applied to othernonlinear differential equations. 相似文献
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B.A.Mamedov 《中国物理 B》2012,21(5):55204-055204
An efficient method for the analytic evaluation of the plasma dispersion function for the Fermi-Dirac distribution is proposed.The new method has been developed using the binomial expansion theorem and the Gamma functions.The general formulas obtained for the plasma dispersion function are utilized for the evaluation of the response function.The resulting series present better convergence rates.Several acceleration techniques are combined to further improve the efficiency.The obtained results for the plasma dispersion function are in good agreement with the known numerical data. 相似文献
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New Doubly Periodic Solutions of Nonlinear Evolution Equations via Weierstrass Elliptic Function Expansion Algorithm 总被引:1,自引:0,他引:1
YAN Zhen-Ya 《理论物理通讯》2004,42(11)
A Weierstrass elliptic function expansion method and its algorithm are developed in this paper. The method changes the problem solving nonlinear evolution equations into another one solving the correspondingsystem of nonlinear algebraic equations. With the aid of symbolic computation (e.g. Maple), the method is applied to the combined KdV-mKdV equation and (2 1)-dimensional coupled Davey-Stewartson equation. As a consequence, many new types of doubly periodic solutions are obtained in terms of the Weierstrass elliptic function. Jacobi elliptic function solutions and solitary wave solutions are also given as simple limits of doubly periodic solutions. 相似文献
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YANZhen-Ya 《理论物理通讯》2004,42(5):645-648
A Weierstrass elliptic function expansion method and its algorithm are developed in this paper. The method changes the problem solving nonlinear evolution equations into another one solving the corresponding system of nonlinear algebraic equations. With the aid of symbolic computation (e.g. Maple), the method is applied to the combined KdV-mKdV equation and (2 1)-dimensional coupled Davey-Stewartson equation. As a consequence, many new types of doubly periodic solutions are obtained in terms of the Weierstrass elliptic function. Jacobi elliptic function solutions and solitary wave solutions are also given as simple limits of doubly periodic solutions. 相似文献
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C. J. Cellarius L. A. Dicks R. Turner 《Zeitschrift für Physik A Hadrons and Nuclei》1970,231(2):119-127
A new method of Langmuir probe analysis for non-Maxwellian plasmas is proposed. The method consists of computer fitting a mathematical function to the normal probe voltage-current characteristic, assuming two groups of electrons, each with a Maxwellian distribution. The advantages of the method are that both the temperatures and the densities of the two groups may be determined and that the electron energy distribution function is a tractable mathematical function. The two groups are proven to be very nearly Maxwellian in the pressure range of 1.8 to 3.8 torr helium and the results are in excellent qualitative agreement with results obtained spectroscopically by other authors. 相似文献
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YAN Zhen-Ya 《理论物理通讯》2002,38(4):400-402
Recently, we obtained thirteen families of Jacobian elliptic function solutions of mKdV equation by using our extended Jacobian elliptic function expansion method. In this note, the mKdV equation is investigated and another three families of new doubly periodic solutions (Jacobian elliptic function solutions) are found again
by using a new transformation, which and our extended Jacobian elliptic
function expansion method form a new method still called the
extended Jacobian elliptic function expansion method. The new method can
be more powerful to be applied to other nonlinear differential equations. 相似文献