| 极坐标系有限差分中起伏地表边界条件处理 |
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| 引用本文： | 徐剑侠,张伟,陈晓非.极坐标系有限差分中起伏地表边界条件处理[J].地球物理学报,2021,64(2):546-554. |
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| 作者姓名： | 徐剑侠 张伟 陈晓非 |
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| 作者单位： | 中国科学技术大学地球和空间科学学院,合肥230026;南方科技大学地球与空间科学系,广东深圳518055 |
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| 基金项目： | 广东省领军人才项目;国家自然科学基金项目 |
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| 摘 要： | 有限差分算法是地震学中重要的算法,在直角坐标系下同位网格有限差分中使用牵引力镜像方法,可以高效准确地处理起伏地表边界条件.当研究区域-全球尺度问题时需要考虑地球曲率影响,此时选择极坐标系更加直观方便,但已有方法无法在极坐标系下准确计算起伏地表影响.本文在极坐标系有限差分中引入贴体网格和牵引力镜像方法处理起伏地表边界条件,并在多个算例中验证算法正确性和适用范围,证明牵引力镜像法在极坐标系有限差分中有效.
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| 关 键 词： | 有限差分 极坐标系 起伏地表 牵引力镜像法 |
Finite difference in the polar coordinate system with irregular topography |
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| XU JianXia,ZHANG Wei,CHEN XiaoFei.Finite difference in the polar coordinate system with irregular topography[J].Chinese Journal of Geophysics,2021,64(2):546-554. |
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| Authors: | XU JianXia ZHANG Wei CHEN XiaoFei |
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| Institution: | (School of Earth and Space Sciences,University of Science and Technology of China,Hefei 230026,China;Department of earth and space science,Southern University of Science and Technology,Shenzhen Guangdong 518055,China) |
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| Abstract: | The finite difference method(FDM)is an important numerical tool in seismological research.The application of the traction free surface boundary condition is a key issue in the FDM.For the Cartesian coordinate system FDM,when irregular topography exists,the traction image method can satisfy the traction free condition with high accuracy and high efficiency.For seismic wave modeling on regional or global scales,the effect of Earth′s curvature must be considered.In this case,the polar coordinator system FDM is more convenience,but the existing method cannot calculate the effect of topography accurately.In this work we introduce a boundary confirm grid and a traction image method into the polar coordinate system FDM to solve this problem.Several numerical tests confirm the validity of our work. |
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| Keywords: | Finite difference method Polar coordinate system Irregular topography Traction image method |
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