项目名称: 保结构间断谱元法在地震波数值模拟中的应用理论基础研究
项目编号: No.41504078
项目类型: 青年科学基金项目
立项/批准年度: 2016
项目学科: 天文学、地球科学
项目作者: 蔡文君
作者单位: 中国科学院大学
项目金额: 20万元
中文摘要: 本项目基于保结构算法的思想,设计适用于全球性地震波传播的新的数值模拟方法。为了处理由地球内部存在的断层不连续面所带来的频散效应,我们采用间断有限元法和谱元法相结合的思想,对地震波方程空间域进行离散;为了实现算法的长时程跟踪能力,我们将辛算法运用到时间域的离散上,由此构造出来的算法不仅精度高、局部性好、极易并行化,且属于保结构算法;为了把所得算法应用到全球尺度的模拟上,我们将其进行并行化处理,以满足高性能大规模数值模拟的要求。
中文关键词: 地震波方程;保结构算法;间断有限元法;谱元法;辛算法
英文摘要: Based on the structure-preserving algorithm, this project aims to design a new numerical method which can be used to simulate the global propagation of the seismic wave. In order to solve the dispersion problem produced by the faults discontinuity existing in the inner earth, we combine the discontinuous Galerkin method and the spectral element method to discretize the spatial domain. With the purpose of long-time simulations, we apply the symplectic algorithm on the discretization of the time domain to construct a numerical scheme which is not only with high order accuracy, good locality and easy for parallelization, but also belongs to structure-preserving methods. To apply such method on the global simulation, we make some parallel processing to satisfy the request of large-scale high-performance numerical simulation.
英文关键词: seismic wave equation;structure-preserving algorithm;discontinuous Galerkin method;spectral element method;symplectic algorithm