摘要
研究了各向异性介质中弹性波动方程交错网格高阶差分法求解的数值相速度色散和数值相速度误差。从而表明了交错网格差分法一般情况下要求每个最短波长离散网格点数约为６。同时表明了高阶差分（４，６）阶的数值各向异性要比低阶的（２，２）阶小得多。
The phase velocity dispersion and the numerical phase velocity errors ofelastic wave staggered-grid high-order difference method in anisotropic medium havebeen studied. From the results,we have found that in general the difference method needsabout 6 grid points within the shortest wavelength.Meanwhile,we can see that high-order difference such as(4,6)order has smaller numerical anisotropy than the low orderdifference such as(2,2)order.
基金
国家自然科学基金
关键词
各向异性介质
弹性波
交错网格
高阶差分
误差
anisotropic medium,elastic wave,staggered-grid high-orderdifference,velocity dispersion velocity errors
