This paper proposes a new algorithm based on conformal mapping and FDTD method, and derives the numerical stability and numerical dispersion equations of conformal mapping FDTD algorithm. 本文提出了新的保角变换FDTD算法,推导了保角变换FDTD算法的时间稳定性和数值色散方程。
Numerical Dispersion Analysis of 3D ADI-FDTD for Micro-scale Structures 3DADI-FDTD算法在分析微结构时的数值色散
The changes of longitudinal dispersivity with the grid sizes were mainly caused by numerical dispersion. 网格抛分使模拟计算的纵向弥散度变化的主要原因是数值弥散。
On the numerical dispersion errors of the boundary element method in free-surface potential flow problems 自由面势流问题边界元法的数值色散误差
The time interval and space interval of the differential equations can be determined by analysis of stabilization and the theory of numerical dispersion. 利用傅立叶变换法计算出此算法的收敛域,结合时域有限差分法的数值色散理论确定出时间和空间步距。
It has to satisfy two physical intrinsic and limitations: numerical dispersion and stability. 需满足两个固有的物理限制:数值稳定性和数值色散性。
First, we reviewed the finite-difference time-domain Yee's method. The difference equations, the stability condition, numerical dispersion characteristics, absorbing boundary conditions, incident wave source conditions and the calculation of the frequency-dependent scattering parameters are discussed. 首先本文回顾了时域有限差分Yee算法,包括时域有限差分的差分方程、稳定性条件、数值色散特性、吸收边界条件,激励源的设置以及散射参数的计算等。
When a suitable boundary condition is given, this method can solve the problems of the numerical dispersion and boundary effectiveness. 高阶差分加上合适的边界条件能较好地解决网格频散和边界效应问题。
Numerical Dispersion Analysis of the PML Absorbing Boundary Condition Based Finite Difference Time Domain Method PML吸收边界的时域有限差分法的数值色散研究
Analysis of numerical dispersion in wave-field simulation 波场模拟中的数值频散分析与校正策略
The seismic wave numerical modeling effect is directly dependent upon the degree of numerical dispersion. 数值频散程度直接决定了地震波数值模拟效果。
At the same time, the numerical dispersion and oscillation during solving the convection and diffusion equation are eliminated and accuracy is elevated. 不仅可以直接计算出地下水流速度,而且避免了对流扩散方程数值解中的数值弥散和数值振荡,提高了计算精度。
The foundational principle of the nonorthogonal PD-TD algorithm is introduced, and its stability condition and dispersion equation are derived. The numerical dispersion characteristics of this method are analyzed in detail. 本文全面介绍了非正交FD-TD方法的基本原理,推导出了其稳定条件和数值色散方程,并对其数值色散特性进行了详细分析研究。
The suppression of numerical dispersion and improvement of absorbing boundary conditions in forward modeling of GPR 地质雷达正演中的频散压制和吸收边界改进方法
The high-order difference method of wave equation has the advantages of high accuracy and small numerical dispersion. 波动方程高阶差分法具有精度高、数值频散小的优点。
In the fourth chapter, FDTD based on alternating direction implicit method ( ADI-FDTD) is discussed. Applying general method and matrix method, we deduced the numerical dispersion equation for ADI-FDTD and validated its unconditional stability. 第四章中讨论了基于交替方向隐式法的时域有限差分(ADI-FDTD),采用传统分析法和矩阵法分别推导了ADI-FDTD的数值色散和证明了无条件数值稳定性。
The results show that there are non-conditional time stability and excellent numerical dispersion in the method. 证明了其非条件的时间稳定特性,并数值模拟了无界,有界边界条件下的二维算例,论证了该方法的非条件时间稳定性和优秀的数值色散性。
In the third chapter, various problems in FDTD is introduced including Yee grid, difference expressions, source excitation, boundary condition, numerical dispersion and numerical stability. 第三章中介绍了传统时域有限差(FDTD)分中的各种问题,包括网格划分、差分格式、激励源设置、边界条件、数值色散和数值稳定性。
Minimizing the numerical dispersion in the FDTD calculation region and setting the absorbing boundary have been discussed also. 并简要讨论了FDTD方法的数值色散和计算空间吸收边界的设置等问题。
It is shown that cubic spline method is effective for restraining numerical dispersion in numerical simulation of hydrodynamic dispersion equations with radioactive decay. 结果表明,三次样条方法在带有放射性衰变的水动力弥散方程的数值计算中,对抑制数值耗散是一种有效的方法。
The other is high-order flux-corrected, in which numerical dispersion and oscillation can be effectively eliminated through correcting ( limiting) antidiffusion flux. 另一个是高阶通量校正阶段,通过对反扩散通量进行校正(限定),可有效地消除数值弥散和数值振荡。
Another effective method to reduce the numerical dispersion error is to use the higher-order FDTD methods. 减少数值色散误差的另外一个有效的方法是采用高阶FDTD算法。高阶算法具有低的色散特性,在满足同样精度的情况下可以使用比传统FDTD方法更粗的网格单元。
It is showed that the method can dispel most numerical dispersion and the vibration of solution doesn't increase. 结果表明该法能消除大部分的数值弥散,而且又不增加解的振荡性。
Because of the numerical dispersion error and the physical simplification, the result can only be an approximate solution. 由于数值离散误差以及物理简化的影响,其结果只是近似解。
The stability of the schemes I and IV are obtained by employing linearized stability method. Both the numerical dissipation and the numerical dispersion for scheme I, II and III are analyzed by Fourier method. 用Fourier方法分析了格式Ⅰ,Ⅱ和Ⅲ的数值耗散和数值频散。
According to the field divided requirements of FDTD algorithm, two-dimensional model of electromagnetic scattering is established. Grid subdivision for the model has been done which should satisfy the Courant stability condition and numerical dispersion requirements. 根据FDTD算法的场划分要求,建立了钢筋混凝土电磁散射计算二维模型,并对模型进行了网格剖分,剖分网格的大小满足Courant稳定性条件和数值色散的要求。
In the low-frequency domain of this numerical dispersion equation is solved with the change in porosity of the dispersion curves and attenuation curves and polarization curves. 在低频域内对此频散方程进行了数值求解,得到随孔隙度的变化的频散曲线和衰减曲线及偏振特性曲线。
Because the 3-D method has the shortcomings of more memory space and low computation speed, we use the method of compensating the numerical dispersion to enlarge the size of the grid, and this method can expedite the computation greatly. 由于三维算法存在所需要的存储量大、计算速度慢的缺点,采用了补偿数值色散对电磁波影响的方法扩大了网格采样空间,极大地加快了计算速度。
Both methods suppress the observed numerical dispersion and the perfectly matched layer absorbing boundary reflection effect. 同时观测FCT方法压制数值频散与PML完全匹配层吸收边界反射的效果。
In this paper two ( FD) 2TD methods based on the permittivity or conductivity are proposed and their numerical dispersion, stability and applicability are also studied. Secondly, based on the concepts of discrete system a new absorbing boundary condition for arbitrary dispersive media is derived. 第二,在(FD)2TD法中引入离散时间系统的概念,建立了新的适用于任意色散媒质的吸收边界条件,并对其吸收效果及稳定性条件进行了研究。