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首页> 外文期刊>Journal of Computational Physics >Analysis of anisotropy of numerical wave solutions by high accuracy finite difference methods
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Analysis of anisotropy of numerical wave solutions by high accuracy finite difference methods

机译：高精度有限差分法分析数值波解的各向异性

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摘要

Fourier analysis is used to quantitatively assess the resolution, and in particular the isotropy of wave solution using finite difference spatial discretization schemes along with fourth order Runge-Kutta temporal scheme. Aspect ratio of the grid in two-dimension, along with the angle of wave propagation are the parameters varied to qualitatively and quantitatively assess the anisotropy of the solutions for (a) a skewed one-dimensional wave convecting in two-dimensions following the standard convection equation and (b) a wave propagating following the two-dimensional linearized rotating shallow water equations. Results show the effect of changing the aspect ratio and the propagation angle on the directional nature of the solution as obtained by different methods for the above non-dispersive and dispersive wave system.
机译：傅里叶分析用于定量评估分辨率，尤其是使用有限差分空间离散化方案以及四阶Runge-Kutta时间方案来评估波解的各向同性。二维网格的长宽比以及波的传播角度是用于定性和定量地评估以下条件的各向异性的参数：（a）遵循标准对流的二维二维对流的偏斜一维波方程和（b）遵循二维线性化旋转浅水方程传播的波。结果表明，对于上述非色散和色散波系统，通过不同方法获得的改变长宽比和传播角度对溶液的方向性有影响。

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