预测源区复杂地形下低频地波传播特性的3D-FDTD+PE混合方法

A 3D-FDTD+PE hybrid method for predicting the propagation characteristics of low-frequency ground waves in complex terrain of the source area

  • 摘要: 针对大区域复杂地形下低频地波传播特性预测难题,提出了一种近远结合的三维时域有限差分(three dimensional finite-difference time-domain, 3D-FDTD)与三维抛物方程(three dimensional-parabolic equation, 3D-PE)混合方法,有效兼顾了局部复杂源区与大尺度辐射区混合尺寸目标电磁计算需求. 该方法在复杂发射源区采用3D-FDTD方法以保证计算精度,在相对平坦辐射区利用3D-PE方法计算以提高计算效率. 通过馈源面场值时域-频域变步长转换与二次加窗处理,保证了从源区到辐射区场值传递的数值稳定性. 融合两种方法优势后,该方法在同等精度的前提下,计算时间与内存占用分别降低至全区域3D-FDTD方法的1/12和1/15. 进一步结合含悬崖、高山等复杂地形的源区场景,系统分析得出了源区地形起伏对辐射海域低频地波传播特性的影响,可为低频发射台站选址建设提供理论依据.

     

    Abstract: To address the challenge of predicting the propagation characteristics of low-frequency ground waves in large-scale complex terrains, a hybrid method combining near-field three-dimensional finite-difference time-domain (3D-FDTD) and far-field three-dimensional parabolic equation (3D-PE) is proposed. This approach effectively meets the requirements of electromagnetic calculations for mixed-scale targets in both the local complex source area and the large-scale radiation area. The 3D-FDTD method is adopted in the complex source area to ensure calculation accuracy, while the 3D-PE method is utilized in the relatively flat radiation area to enhance computational efficiency. By performing a time-domain to frequency-domain variable step conversion and secondary windowing processing on the feed source field values, the numerical stability of field value transmission from the source area to the radiation area is guaranteed. After integrating the advantages of two methods, the computational time and memory usage of this method are reduced to 1/12 and 1/15 of the full-area 3D-FDTD method, respectively, under the same accuracy. Furthermore, by combining the source area scenarios with complex terrains such as cliffs and high mountains, a systematic analysis is conducted to determine the influence of the source area's terrain undulations on the propagation characteristics of low-frequency ground waves in the radiation sea area, providing a theoretical basis for the site selection and construction of low-frequency transmitting stations.

     

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