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首页> 外文期刊>Journal of Computational Physics >Time-space domain dispersion-relation-based finite-difference method with arbitrary even-order accuracy for the 2D acoustic wave equation
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Time-space domain dispersion-relation-based finite-difference method with arbitrary even-order accuracy for the 2D acoustic wave equation

机译：二维声波方程基于时空域色散关系的具有任意偶数精度的有限差分方法

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摘要

High-order finite-difference (FD) methods have been widely used for numerical solution of acoustic wave equations. It has been reported that the modeling accuracy is of 2nd-order when the conventional (2. M)th-order space domain FD and the 2nd-order time domain FD stencils are directly used to solve the acoustic wave equation. Under the same discretization, the present version of time-space domain dispersion-relation-based FD method can improve the accuracy from 2nd-order to (2. M)th-order along eight directions for the 2D acoustic wave equation. To increase the accuracy further, we propose a new FD stencil for 2D acoustic wave equation modeling. This new time-space domain dispersion-relation-based FD stencil can reach the same arbitrary even-order accuracy along all directions, and is more accurate and more stable than the conventional one for the same M. Dispersion analysis and modeling examples demonstrate its advantages.
机译：高阶有限差分（FD）方法已广泛用于声波方程的数值解。据报道，当将常规的（2.M）阶空间域FD和二阶时域FD模板直接用于求解声波方程时，建模精度为二阶。在相同的离散化下，当前版本的基于时空域色散关系的FD方法可以将二维声波方程的精度沿8个方向从2阶提高到（2. M）阶。为了进一步提高精度，我们提出了一种用于二维声波方程建模的新FD模具。这种新的基于时空域色散关系的FD模版可以在所有方向上达到相同的任意偶数精度，并且比相同M的传统方法更准确，更稳定。色散分析和建模实例证明了其优势。

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