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Improved absorbing boundary condition based on linear interpolation for ADI-FDTD method 被引量:1
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作者 赵嘉宁 《Journal of Southeast University(English Edition)》 EI CAS 2009年第3期289-293,共5页
With the linear interpolation method, an improved absorbing boundary condition(ABC)is introduced and derived, which is suitable for the alternating-direction-implicit finite- difference time-domain (ADI-FDTD) meth... With the linear interpolation method, an improved absorbing boundary condition(ABC)is introduced and derived, which is suitable for the alternating-direction-implicit finite- difference time-domain (ADI-FDTD) method. The reflection of the ABC caused by both the truncated error and the phase velocity error is analyzed. Based on the phase velocity estimation and the nonuniform cell, two methods are studied and then adopted to improve the performance of the ABC. A calculation case of a rectangular waveguide which is a typical dispersive transmission line is carried out using the ADI-FDTD method with the improved ABC for evaluation. According to the calculated case, the comparison is given between the reflection coefficients of the ABC with and without the velocity estimation and also the comparison between the reflection coefficients of the ABC with and without the nonuniform processing. The reflection variation of the ABC under different time steps is also analyzed and the acceptable worsening will not obscure the improvement on the absorption. Numerical results obviously show that efficient improvement on the absorbing performance of the ABC is achieved based on these methods for the ADI-FDTD. 展开更多
关键词 alternating-direction-implicit finite-difference time- domain ADI-fdtd method absorbing boundary condition (ABC) linear interpolation phase velocity nonuniform cell
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A Generalized FDTD Method with Absorbing Boundary Condition for Solving a Time-Dependent Linear Schrodinger Equation 被引量:1
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作者 Frederick Ira Moxley III Fei Zhu Weizhong Dai 《American Journal of Computational Mathematics》 2012年第3期163-172,共10页
The Finite-Difference Time-Domain (FDTD) method is a well-known technique for the analysis of quantum devices. It solves a discretized Schrodinger equation in an iterative process. However, the method provides only a ... The Finite-Difference Time-Domain (FDTD) method is a well-known technique for the analysis of quantum devices. It solves a discretized Schrodinger equation in an iterative process. However, the method provides only a second-order accurate numerical solution and requires that the spatial grid size and time step should satisfy a very restricted condition in order to prevent the numerical solution from diverging. In this article, we present a generalized FDTD method with absorbing boundary condition for solving the one-dimensional (1D) time-dependent Schr?dinger equation and obtain a more relaxed condition for stability. The generalized FDTD scheme is tested by simulating a particle moving in free space and then hitting an energy potential. Numerical results coincide with those obtained based on the theoretical analysis. 展开更多
关键词 SCHRODINGER Equation absorbing boundary fdtd Method Stability
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Absorbing Boundary Conditions for Simulating Water Waves Near Solid Bodies
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作者 José Marie Orellana 《Journal of Applied Mathematics and Physics》 2024年第10期3502-3520,共19页
The objective of this paper is to present a new method for designing absorbing or non-reflective boundary conditions (ABC) or (NRBC), illustrated by the case study of the modelling of a solid body in water, specifical... The objective of this paper is to present a new method for designing absorbing or non-reflective boundary conditions (ABC) or (NRBC), illustrated by the case study of the modelling of a solid body in water, specifically the capillary gravity waves generated by its motion at the surface. The study analyses the flow of an inviscid, barotropic, and compressible fluid around the stationary solid body. The dynamic behaviour of the fluid is analysed using a two-dimensional coupled Neumann-Kelvin model extended with capillarity and inertia terms. For computational purposes, it is necessary to truncate the unbounded spatial domain with artificial boundaries and then introduce appropriate absorbing boundary conditions. The propagation of short wavelength waves in a convective fluid medium with significant differences in properties between the interior and the surface of the fluid presents a number of difficulties in the design of these conditions. The results are illustrated numerically and commented upon. 展开更多
关键词 absorbing boundary condition Fluid-Structure Interaction Capillary-Gravity Waves Numerical Simulations
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Application of the double absorbing boundary condition in seismic modeling 被引量:1
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作者 刘洋 李向阳 陈双全 《Applied Geophysics》 SCIE CSCD 2015年第1期111-119,123,共10页
We apply the newly proposed double absorbing boundary condition(DABC)(Hagstrom et al., 2014) to solve the boundary reflection problem in seismic finite-difference(FD) modeling. In the DABC scheme, the local high... We apply the newly proposed double absorbing boundary condition(DABC)(Hagstrom et al., 2014) to solve the boundary reflection problem in seismic finite-difference(FD) modeling. In the DABC scheme, the local high-order absorbing boundary condition is used on two parallel artificial boundaries, and thus double absorption is achieved. Using the general 2D acoustic wave propagation equations as an example, we use the DABC in seismic FD modeling, and discuss the derivation and implementation steps in detail. Compared with the perfectly matched layer(PML), the complexity decreases, and the stability and fl exibility improve. A homogeneous model and the SEG salt model are selected for numerical experiments. The results show that absorption using the DABC is considerably improved relative to the Clayton–Engquist boundary condition and nearly the same as that in the PML. 展开更多
关键词 Double absorbing boundary condition numerical modeling finite-difference method artificial boundary condition
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Perfectly matched layer-absorbing boundary condition for finite-element time-domain modeling of elastic wave equations 被引量:3
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作者 赵建国 史瑞其 《Applied Geophysics》 SCIE CSCD 2013年第3期323-336,359,共15页
The perfectly matched layer (PML) is a highly efficient absorbing boundary condition used for the numerical modeling of seismic wave equation. The article focuses on the application of this technique to finite-eleme... The perfectly matched layer (PML) is a highly efficient absorbing boundary condition used for the numerical modeling of seismic wave equation. The article focuses on the application of this technique to finite-element time-domain numerical modeling of elastic wave equation. However, the finite-element time-domain scheme is based on the second- order wave equation in displacement formulation. Thus, the first-order PML in velocity-stress formulation cannot be directly applied to this scheme. In this article, we derive the finite- element matrix equations of second-order PML in displacement formulation, and accomplish the implementation of PML in finite-element time-domain modeling of elastic wave equation. The PML has an approximate zero reflection coefficients for bulk and surface waves in the finite-element modeling of P-SV and SH wave propagation in the 2D homogeneous elastic media. The numerical experiments using a two-layer model with irregular topography validate the efficiency of PML in the modeling of seismic wave propagation in geological models with complex structures and heterogeneous media. 展开更多
关键词 absorbing boundary condition elastic wave equation perfectly matched layer finite-element modeling
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A Novel Absorbing Boundary Condition for the Frequency-Dependent Finite-Difference Time-Domain Method
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作者 WANG Tong, ZHANG Wen jun, GE Ren wei, LIU Wei liang School of Communication and Information Engineering, Shanghai University, Shanghai 200072, China 《Journal of Shanghai University(English Edition)》 CAS 2001年第2期111-115,共5页
A new absorbing boundary condition (ABC) for frequency dependent finite difference time domain algorithm for the arbitrary dispersive media is presented. The concepts of the digital systems are introduced to the (F... A new absorbing boundary condition (ABC) for frequency dependent finite difference time domain algorithm for the arbitrary dispersive media is presented. The concepts of the digital systems are introduced to the (FD) 2TD method. On the basis of digital filter designing and vector algebra, the absorbing boundary condition under arbitrary angle of incidence are derived. The transient electromagnetic problems in two dimensions and three dimensions are calculated and the validity of the ABC is verified. 展开更多
关键词 dispersive media fdtd(finite different time domain) absorbing boundary condition digital filter
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Hybrid absorbing boundary condition for threedimensional elastic wave modeling 被引量:3
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作者 Liu Xin Liu Yang +4 位作者 Ren Zhi-Ming Cai Xiao-Hui Li Bei Xu Shi-Gang Zhou Le-Kai 《Applied Geophysics》 SCIE CSCD 2017年第2期270-278,323,324,共11页
Edge reflections are inevitable in numerical modeling of seismic wavefields, and they are usually attenuated by absorbing boundary conditions. However, the commonly used perfectly matched layer (PML) boundary condit... Edge reflections are inevitable in numerical modeling of seismic wavefields, and they are usually attenuated by absorbing boundary conditions. However, the commonly used perfectly matched layer (PML) boundary condition requires special treatment for the absorbing zone, and in three-dimensional (3D) modeling, it has to split each variable into three corresponding variables, which increases the computing time and memory storage. In contrast, the hybrid absorbing boundary condition (HABC) has the advantages such as ease of implementation, less computation time, and near-perfect absorption; it is thus able to enhance the computational efficiency of 3D elastic wave modeling. In this study, a HABC is developed from two-dimensional (2D) modeling into 3D modeling based on the I st Higdon one way wave equations, and a HABC is proposed that is suitable for a 3D elastic wave numerical simulation. Numerical simulation results for a homogenous model and a complex model indicate that the proposed HABC method is more effective and has better absorption than the traditional PML method. 展开更多
关键词 3D elastic wave equation hybrid absorbing boundary condition forward modeling
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A note for the mechanism of high-frequency oscillation instability resulted from absorbing boundary conditions
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作者 谢志南 廖振鹏 《Acta Seismologica Sinica(English Edition)》 CSCD 2008年第3期306-310,333,共6页
In this paper the explanation of the mechanism of high-frequency oscillation instability resulted from absorbing boundary conditions is further improved. And we analytically prove the proposition that for one dimensio... In this paper the explanation of the mechanism of high-frequency oscillation instability resulted from absorbing boundary conditions is further improved. And we analytically prove the proposition that for one dimensional discrete model of elastic wave motion, the module of reflection factor will be greater than 1 in high frequency band when artificial wave velocity is greater than 1.5 times the ratio of discrete space step to discrete time step. Based on the proof, the frequency band in which instability occurs is discussed in detail, showing such high-frequency waves are meaningless for the numerical simulation of wave motion. 展开更多
关键词 absorbing boundary conditions high-frequency oscillation instability wave equation numerical simulation
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Absorbing Boundary Conditions for Hyperbolic Systems
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作者 Matthias Ehrhardt 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2010年第3期295-337,共43页
This paper deals with absorbing boundary conditions for hyperbolic systems in one and two space dimensions.We prove the strict well-posedness of the resulting initial boundary value problem in 1D.Afterwards we establi... This paper deals with absorbing boundary conditions for hyperbolic systems in one and two space dimensions.We prove the strict well-posedness of the resulting initial boundary value problem in 1D.Afterwards we establish the GKS-stability of the corresponding Lax-Wendroff-type finite difference scheme.Hereby,we have to extend the classical proofs,since the(discretized) absorbing boundary conditions do not fit the standard form of boundary conditions for hyperbolic systems. 展开更多
关键词 absorbing boundary conditions hyperbolic system Engquist and Majda approach strict well-posedness GKS-stability.
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APPLICATION OF THE PML ABSORBING BOUNDARY CONDITION TO FD-TD SIMULATION
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作者 Guo Ziqin Lin Deyun(Dept. of Electronic Engineering, Tsinghua University, Beijing 100084) 《Journal of Electronics(China)》 1998年第2期168-173,共6页
The key problem of finite-difference time-domain (FD-TD) method is the skillful application of special conditions on the boundaries of the computational domain. A new technique named Perfectly Matched Layer(PML) yield... The key problem of finite-difference time-domain (FD-TD) method is the skillful application of special conditions on the boundaries of the computational domain. A new technique named Perfectly Matched Layer(PML) yields a robust Absorbing Boundary Condition(ABC) independent of the angle of incidence and the frequency of outgoing waves. In this paper, the principle of the PML technique is briefly presented. Then some problems in the application and their settlements are discussed emphatically. Finally three numerical tests and a measured result are devoted to examine the accuracy and effectiveness of this approach. 展开更多
关键词 FINITE-DIFFERENCE TIME-DOMAIN absorbing boundary condition Perfectly matched layer REFLECTION COEFFICIENT
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广义正交坐标系下FDTD算法的吸收边界条件 被引量:11
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作者 葛俊祥 李玉星 《电子学报》 EI CAS CSCD 北大核心 1998年第3期113-116,共4页
本文由广义正变坐标系下的波动方程,通过微分算子的分解得到了两个单向波方程,利用差分近似方法得到广义正交坐标系下Mur二阶吸收边界条件,并与文献给出的直角和圆柱坐标系下的Mur二阶吸收边界条件进行了对比和补充.
关键词 广义正交坐标系 fdtd 吸收边界条件 电波传播
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FDTD方法在磁共振射频线圈仿真中的应用 被引量:3
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作者 辛学刚 韩继钧 陈武凡 《电路与系统学报》 CSCD 北大核心 2010年第4期133-136,共4页
本文提出了磁共振射频线圈电磁场仿真计算的FDTD方法,并对该方法中的仿真计算稳定性和边界吸收条件等关键技术的实现进行了详细阐述。利用这种方法,本文对磁共振鸟笼线圈的电磁场进行仿真计算分析,并给出了电磁场分布的仿真计算结果,仿... 本文提出了磁共振射频线圈电磁场仿真计算的FDTD方法,并对该方法中的仿真计算稳定性和边界吸收条件等关键技术的实现进行了详细阐述。利用这种方法,本文对磁共振鸟笼线圈的电磁场进行仿真计算分析,并给出了电磁场分布的仿真计算结果,仿真结果与鸟笼线圈的实际电磁场分布相吻合。 展开更多
关键词 fdtd 磁共振 鸟笼线圈 边界吸收条件
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FDTD方法中的吸收边界条件 被引量:7
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作者 胡来平 刘占军 《现代电子技术》 2003年第9期30-32,共3页
介绍并分析了时域有限差分中的吸收边界条件 ,对各种条件的应用进行了讨论 ,对时域差分技术的吸收边界条件进行了一定的总结和展望。
关键词 fdtd 时域有限差分方法 吸收边界条件 电磁散射 完全匹配层
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一种新的吸收边界条件及三维微波结构的FDTD 被引量:3
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作者 邵振海 洪伟 《微波学报》 CSCD 北大核心 2000年第4期361-365,372,共6页
本文基于 Z-变换域上导出的一种新的有效的吸收边界条件和 FDTD法对三维微波无源集成结构进行了全波分析。与 Mur吸收边界条件、色散吸收边界条件等相比 ,这种新的吸收边界条件更精确有效。相应的软件可应用于复杂三维微波集成结构等效... 本文基于 Z-变换域上导出的一种新的有效的吸收边界条件和 FDTD法对三维微波无源集成结构进行了全波分析。与 Mur吸收边界条件、色散吸收边界条件等相比 ,这种新的吸收边界条件更精确有效。相应的软件可应用于复杂三维微波集成结构等效网络参数的精确快速提取。 展开更多
关键词 电磁分析 吸收边界条件 fdtd 三维维波结构
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不规则贴片微带天线的MPSTD-FDTD混合算法分析 被引量:4
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作者 姜永金 潘谊春 +1 位作者 傅文斌 毛钧杰 《电子学报》 EI CAS CSCD 北大核心 2009年第6期1367-1372,共6页
针对不规则贴片微带天线的准确建模与快速分析,将多区域时域伪谱(MPSTD)与时域有限差分(FDTD)两种时域算法相结合,提出了MPSTD-FDTD混合算法,以此来充分发挥两种时域算法的优越性.文中首先给出了混合算法的具体实现方法,并简要推导了混... 针对不规则贴片微带天线的准确建模与快速分析,将多区域时域伪谱(MPSTD)与时域有限差分(FDTD)两种时域算法相结合,提出了MPSTD-FDTD混合算法,以此来充分发挥两种时域算法的优越性.文中首先给出了混合算法的具体实现方法,并简要推导了混合算法中子域分界面上的匹配条件.其次,分析了算法的计算精度和影响计算精度的主要因素.最后,利用该混合算法对一种倾斜矩形贴片微带天线进行了分析,数值仿真验证了算法的有效性和准确性. 展开更多
关键词 MPSTD-fdtd算法 微带天线 CV-PB匹配条件
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采用PML的FDTD方法对矩形微带天线的研究 被引量:6
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作者 姚广锋 王积勤 刘刚 《现代雷达》 CSCD 北大核心 2003年第11期36-38,共3页
将完全匹配层 (PML)吸收边界应用于微带结构中 ,对矩形微带天线进行了分析计算 ,给出了其时域和频域的仿真结果。结果表明 ,与传统的Mur边界相比 ,采用PML吸收边界具有反射小、馈源模型简单、收敛速度快等优点。
关键词 PML 完全匹配层 吸收边界条件 矩形微带天线 时域有限差分法 fdtd
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广义正交坐标系FDTD算法的准完全匹配层吸收边界条件 被引量:2
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作者 周晓军 喻志远 林为干 《电子学报》 EI CAS CSCD 北大核心 2000年第3期118-120,共3页
本文推导出了广义正交坐标系下的各向异性准完全匹配吸收层 (QPML)边界条件 ,给出了直角坐标、圆柱坐标、保角变换柱形坐标的各向异性准完全匹配吸收媒质 .
关键词 广义正交坐标系 fdtd 准完全匹配层 吸收边界
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有耗色散地质介质中电磁波传播特性的FDTD计算分析 被引量:3
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作者 郭江 曹俊兴 何晓燕 《成都理工大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第1期96-102,共7页
介绍一种基于三维时域有限差分法(FDTD)的有耗色散地质介质中电磁波传播特性数值分析方法。通过将色散介质本构关系和场量关系直接变换为时域微分方程的方法,导出了适用于一般色散介质中电磁场分析的时域有限差分法计算公式,并将完全匹... 介绍一种基于三维时域有限差分法(FDTD)的有耗色散地质介质中电磁波传播特性数值分析方法。通过将色散介质本构关系和场量关系直接变换为时域微分方程的方法,导出了适用于一般色散介质中电磁场分析的时域有限差分法计算公式,并将完全匹配层(PML)吸收边界融入了FDTD计算格式。通过计算分析了介质色散对电磁波场传播的影响,观测到介质色散会导致电磁脉冲在传播中波形展宽、位相滞后、幅度减小。因此,电磁探测数据的处理解释应将介质的色散影响纳入考虑。 展开更多
关键词 时域有限差分法(fdtd) 色散介质 完全匹配层(PML) 各向异性PML吸收边界
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关于FDTD中驻波行-波边界条件的再讨论 被引量:1
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作者 莫锦军 刘少斌 袁乃昌 《微波学报》 CSCD 北大核心 2003年第4期11-14,共4页
驻波 行波边界条件 (STWBC)是一种新近提出的概念清晰、实现简便的吸收边界条件。本文对STWBC的误差来源和适用范围作了进一步研究 ,说明STWBC的思想是正确、新颖的 ,其难点在于如何减小差分实现时产生的误差。同时 ,分别针对一维和二... 驻波 行波边界条件 (STWBC)是一种新近提出的概念清晰、实现简便的吸收边界条件。本文对STWBC的误差来源和适用范围作了进一步研究 ,说明STWBC的思想是正确、新颖的 ,其难点在于如何减小差分实现时产生的误差。同时 ,分别针对一维和二维情况 ,从理论上分析了原一阶STWBC迭代式的误差来源 ,并提出了二阶STWBC迭代式。 展开更多
关键词 fdtd 时域有限差分法 吸收边界条件 驻波-行波边界条件 STWBC 电磁辐射
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基于FDTD的运动导体目标电磁散射仿真 被引量:3
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作者 张向前 聂在平 《电波科学学报》 EI CSCD 北大核心 2009年第2期206-212,共7页
提出了一种基于散射模型的等价相对边界条件。将该等价相对边界条件与传统FDTD方法相结合提出了求解运动导体目标电磁散射问题的方法。并将该方法用于计算运动的无限大导体表面的电磁散射问题,计算结果与文献所给方法的计算结果吻合很好... 提出了一种基于散射模型的等价相对边界条件。将该等价相对边界条件与传统FDTD方法相结合提出了求解运动导体目标电磁散射问题的方法。并将该方法用于计算运动的无限大导体表面的电磁散射问题,计算结果与文献所给方法的计算结果吻合很好,验证了该方法求解运动导体目标电磁散射问题的正确性和有效性。用该方法计算了运动三维导体目标的雷达散射截面。 展开更多
关键词 运动目标 电磁散射 相对边界条件 fdtd
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