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数值色散    
相关语句
  numerical dispersion
    Numerical Dispersion of Higher-Order FDTD (2,4) and Applications to Microstrip Antenna
    FDTD(2,4)算法的数值色散特性及其在微带天线中的应用研究
短句来源
    Numerical dispersion characteristic and impedance relationship of three dimensional perfectly matched layers (PML) are analyzed under finite difference approximation in this paper, respectively, which show that numerical dispersion relationship of PML is different from that of the FDTD equations and the impedance of homogeneous PML medium is the same as that of free space.
    本文分别分析了有限差分近似下三维理想匹配层的数值色散特性和阻抗关系,分析表明,理想匹配层的数值色散关系有别于时域有限差分方程的数值色散关系; 有限差分近似下,均匀理想匹配层媒质的阻抗和自由空间的阻抗相同。
短句来源
    Numerical results show that the higher-order FDTD (2,4) scheme can reduce numerical dispersion and phase velocity errors. Computation complexity and memory requirements can be reduced, and the frequency bands to be calculated are extended.
    结果证明高阶FDTD(2,4)算法能够有效减小数值色散和相速误差,而且可以降低对计算机内存的要求,减小计算量,适用的计算频段更高.
短句来源
  numerical dispersion
    Numerical Dispersion of Higher-Order FDTD (2,4) and Applications to Microstrip Antenna
    FDTD(2,4)算法的数值色散特性及其在微带天线中的应用研究
短句来源
    Numerical dispersion characteristic and impedance relationship of three dimensional perfectly matched layers (PML) are analyzed under finite difference approximation in this paper, respectively, which show that numerical dispersion relationship of PML is different from that of the FDTD equations and the impedance of homogeneous PML medium is the same as that of free space.
    本文分别分析了有限差分近似下三维理想匹配层的数值色散特性和阻抗关系,分析表明,理想匹配层的数值色散关系有别于时域有限差分方程的数值色散关系; 有限差分近似下,均匀理想匹配层媒质的阻抗和自由空间的阻抗相同。
短句来源
    Numerical results show that the higher-order FDTD (2,4) scheme can reduce numerical dispersion and phase velocity errors. Computation complexity and memory requirements can be reduced, and the frequency bands to be calculated are extended.
    结果证明高阶FDTD(2,4)算法能够有效减小数值色散和相速误差,而且可以降低对计算机内存的要求,减小计算量,适用的计算频段更高.
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  numerical dispersion
Genetic algorithm in reduction of numerical dispersion of 3-D ADI-FDTD method
      
A new method to reduce the numerical dispersion of the three-dimensional Alternating Direction Implicit Finite-Difference Time-Domain (3-D ADI-FDTD) method is proposed.
      
Firstly, the numerical formulations of the 3-D ADI-FDTD method are modified with the artificial anisotropy, and the new numerical dispersion relation is derived.
      
In addition the reduction of the numerical dispersion is investigated as the objective function of the AGA.
      
This paper presents the calculation of truncation errors, namely numerical diffusion and numerical dispersion for various finite difference schemes.
      
更多          
  numerical dispersion
Genetic algorithm in reduction of numerical dispersion of 3-D ADI-FDTD method
      
A new method to reduce the numerical dispersion of the three-dimensional Alternating Direction Implicit Finite-Difference Time-Domain (3-D ADI-FDTD) method is proposed.
      
Firstly, the numerical formulations of the 3-D ADI-FDTD method are modified with the artificial anisotropy, and the new numerical dispersion relation is derived.
      
In addition the reduction of the numerical dispersion is investigated as the objective function of the AGA.
      
This paper presents the calculation of truncation errors, namely numerical diffusion and numerical dispersion for various finite difference schemes.
      
更多          


A higher-order finite-difference time-domain (FDTD) scheme with fourth order in space is studied for the solution of the Maxwell equations in the time domain and the three dimensional fourth-order difference formulas are obtained. The numerical dispersion characteristics of the higher-order FDTD (2,4) are analyzed in detail. Perfectly matched layer (PML) is carried out effectively in the calculation of the microstrip antenna. Numerical results show that the higher-order FDTD (2,4) scheme can reduce numerical...

A higher-order finite-difference time-domain (FDTD) scheme with fourth order in space is studied for the solution of the Maxwell equations in the time domain and the three dimensional fourth-order difference formulas are obtained. The numerical dispersion characteristics of the higher-order FDTD (2,4) are analyzed in detail. Perfectly matched layer (PML) is carried out effectively in the calculation of the microstrip antenna. Numerical results show that the higher-order FDTD (2,4) scheme can reduce numerical dispersion and phase velocity errors. Computation complexity and memory requirements can be reduced, and the frequency bands to be calculated are extended.

该文研究了在时间上采用2阶差分、空间上采用4阶差分的高阶FDTD(2,4)数值方法,推导出其三维差分公式,并详细分析了其数值色散特性.另外,将PML吸收边界有效地应用于微带天线的计算,并与传统FDTD(2,2)数值结果进行了对比.结果证明高阶FDTD(2,4)算法能够有效减小数值色散和相速误差,而且可以降低对计算机内存的要求,减小计算量,适用的计算频段更高.

An innovative method on reduction of numerical dispersion is dealt with in this paper, which is applied to the traditional alternating-direction implicit (ADI) in the finite-difference time-domain (FDTD) method. By Adding anisotropic parameters in ADI-FDTD formula, we can control the error attenuation of numerical phase velocity. And the numerical dispersion is reduced while this method is used. So is increased the computational precision. Numerical stability, dispersion relation, and anisotropic parameters...

An innovative method on reduction of numerical dispersion is dealt with in this paper, which is applied to the traditional alternating-direction implicit (ADI) in the finite-difference time-domain (FDTD) method. By Adding anisotropic parameters in ADI-FDTD formula, we can control the error attenuation of numerical phase velocity. And the numerical dispersion is reduced while this method is used. So is increased the computational precision. Numerical stability, dispersion relation, and anisotropic parameters are discussed. The numerical experiments are given to prove the validity of proposed algorithm.

针对变换方向隐式(ADI)时域有限差分(FDTD)算法提出了一种改进方法,通过添加各向异性参数来修正相速度误差,从而减少数值色散,提高计算精度。给出了改进后的ADI-FDTD计算公式,并对改进算法的稳定性、色散关系以及各向异性参数的选取进行了研究,数值结果证明了所给方法的有效性。

 
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