为衰减地质雷达数值模拟时因截断区域厚度或者参数影响产生的倏逝波,提出了一种利用复频移完美匹配层(complex frequency shifted perfectly matched layer,CFS-PML)作为吸收边界,并结合频域高阶有限元算法(higher order finite element...为衰减地质雷达数值模拟时因截断区域厚度或者参数影响产生的倏逝波,提出了一种利用复频移完美匹配层(complex frequency shifted perfectly matched layer,CFS-PML)作为吸收边界,并结合频域高阶有限元算法(higher order finite element method,HO-FEM)求解电磁总场分量分布情况的新方法.该方法改善了截断域介质本构张量矩阵的特性,利用矩阵频移参量α吸收倏逝波,提高掠射角处吸收性能.数值实验结果表明,与传统PML相比,结合CFS-PML的HO-FEM方法精度得到明显提高,反射误差额外降低10~30 dB,节省了17%~30%的计算时间.此外,该方法能应用于复杂地质结构模型的电磁总场计算,为地质雷达数值模拟提供了一种新的方法.展开更多
By incorporating the higher order concept,the piecewise linear recursive convolution(PLRC)method and CrankNicolson Douglas-Gunn(CNDG)algorithm,the unconditionally stable complex frequency shifted nearly perfectly matc...By incorporating the higher order concept,the piecewise linear recursive convolution(PLRC)method and CrankNicolson Douglas-Gunn(CNDG)algorithm,the unconditionally stable complex frequency shifted nearly perfectly matched layer(CFS-NPML)is proposed to terminate the left-handed material(LHM)domain.The proposed scheme takes advantages of CFSNPML formulation,the higher order concept PLRC method and the unconditionally stable CNDG algorithm in terms of absorbing performance,computational efficiency,calculation accuracy and convenient implementation.A numerical example is carried out to demonstrate the effectiveness and efficiency of the proposed scheme.The results indicate that the proposed scheme can not only have considerable absorbing performance but also maintain the unconditional stability of the algorithm with the enlargement of time steps.展开更多
文摘为衰减地质雷达数值模拟时因截断区域厚度或者参数影响产生的倏逝波,提出了一种利用复频移完美匹配层(complex frequency shifted perfectly matched layer,CFS-PML)作为吸收边界,并结合频域高阶有限元算法(higher order finite element method,HO-FEM)求解电磁总场分量分布情况的新方法.该方法改善了截断域介质本构张量矩阵的特性,利用矩阵频移参量α吸收倏逝波,提高掠射角处吸收性能.数值实验结果表明,与传统PML相比,结合CFS-PML的HO-FEM方法精度得到明显提高,反射误差额外降低10~30 dB,节省了17%~30%的计算时间.此外,该方法能应用于复杂地质结构模型的电磁总场计算,为地质雷达数值模拟提供了一种新的方法.
文摘By incorporating the higher order concept,the piecewise linear recursive convolution(PLRC)method and CrankNicolson Douglas-Gunn(CNDG)algorithm,the unconditionally stable complex frequency shifted nearly perfectly matched layer(CFS-NPML)is proposed to terminate the left-handed material(LHM)domain.The proposed scheme takes advantages of CFSNPML formulation,the higher order concept PLRC method and the unconditionally stable CNDG algorithm in terms of absorbing performance,computational efficiency,calculation accuracy and convenient implementation.A numerical example is carried out to demonstrate the effectiveness and efficiency of the proposed scheme.The results indicate that the proposed scheme can not only have considerable absorbing performance but also maintain the unconditional stability of the algorithm with the enlargement of time steps.
