Discontinuous finite element method for efficient three-dimensional elastic wave simulation
Discontinuous finite element method for efficient three-dimensional elastic wave simulation
复制标题
高效三维弹性波模拟的不连续有限元法
DOI：
10.1093/jge/gxaa070
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发表时间：
2021-02
影响因子：
1.4
通讯作者：
Qingping Gu
中科院分区：
文献类型：
--
作者：
Chengyu Hong;Xuben Wang;Gaishan Zhao;Zhao Xue;Fei Deng;Qingping Gu
现有的用于弹性波传播数值模拟的不连续伽辽金（DG）有限元法主要是在二维范围内实现的。本文提出了一种有效的三维弹性波模拟的不连续有限元法（DFEM）。首先，将三维弹性波在各向同性介质中的速度-应力方程转化为一阶变系数偏微分方程。然后用局部拉克斯-弗里德里希通量格式定义了单位边界上波场值的DG离散化方法。首先将方程转化为等价积分方程，然后利用层次正交基函数转化为空间半离散常微分方程组。利用指数积分器技术和显式最优强稳定保持龙格-库塔方法，将离散有限元法扩展到时域任意高阶精度。最后，实现了一种选择当前镜头记录几何形状计算区域的有效方法。对于计算，实现了多节点并行化，提高了资源利用率和并行化效率。数值计算结果表明，与现有方法相比，该方法可以提高仿真精度和计算效率。
The existing discontinuous Galerkin (DG) finite element method (FEM) for the numerical simulation of elastic wave propagation is primarily implemented in two dimensions. Here, a discontinuous FEM (DFEM) for efficient three-dimensional (3D) elastic wave simulation is presented. First, the velocity–stress equations of 3D elastic waves in isotropic media are transformed into first-order coefficient-changed partial differential equations. A DG discretisation method for wave field values on a unit boundary is then defined using the local Lax–Friedrichs flux format. The equations are first transformed into equivalent integral equations, and subsequently into a spatial semi-discrete ordinary differential equation system using a hierarchical orthogonal basis function. The DFEM is extended to an arbitrary high-order accuracy in the time domain using the exponential integrator technique and the explicit optimal strong-stability-preserving Runge–Kutta method. Finally, an efficient method for selecting the calculation area of the geometry of the current shot record is realised. For the computation, a multi-node parallelism with improved resource utilisation and parallelisation efficiency is implemented. The numerical results show that the proposed method can improve both the accuracy of the simulation and the efficiency of the calculation compared with existing methods.
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影响因子：
3.3
作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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影响因子：
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