Staggered Grid with Collocated Grid Points of Velocities for Modeling Propagation of Elastic Waves in Anisotropic Solids by Finite-Difference Time Domain Method
Staggered Grid with Collocated Grid Points of Velocities for Modeling Propagation of Elastic Waves in Anisotropic Solids by Finite-Difference Time Domain Method
复制标题
采用时域有限差分法模拟弹性波在各向异性固体中传播的速度网格点交错网格
DOI：
10.1143/jjap.51.07gb04
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发表时间：
2012
影响因子：
1.5
通讯作者：
T. Shimada
中科院分区：
文献类型：
--
作者：
K. Hasegawa;T. Shimada
本文提出了一种交错网格的速度-应力方程，用于各向异性介质中弹性波的时域有限差分数值模拟。为了简单地对数值模型施加边界条件，我们的网格是通过将有限积分技术应用于满足牛顿定律的单个控制体积而不是传统交错网格的交错控制体积来获得的。计算结果表明，通过采用三次双多项式插值，新网格的数值频散可以被抑制到与传统交错网格相同的水平。
A staggered grid for velocity–stress formulation is presented for modeling elastic waves in anisotropic solids by the finite-difference time domain method. To simply impose boundary conditions on numerical models, our grid is derived by applying a finite integration technique to a single control volume satisfying Newton's law instead of interleaved control volumes for conventional staggered grids. Computed results for the numerical dispersions of the new grid for propagating vertically polarized shear and longitudinal waves in an isotropic solid show that the numerical dispersions of the new grid can be suppressed to the same levels as those of the conventional staggered grids by using a third-degree bi-polynomial interpolation.