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瑞雷波数值模拟中的数值频散校正策略及实例分析

     

摘要

In order to seek a fast and effective method for wave-field simulation, the flux-corrected transport method which was commonly used in fluid dynamics and the staggered-grid finite difference method were combined, and the whole wave field including Rayleigh surface wave and body wave were simulated by FCT finite difference method. The results show that this method is effective to suppress the numerical frequency dispersion phenomenon by thick grids, but retain the real wave oscillation, and especially the dispersion characteristics of Rayleigh surface wave in the layered mediums can be highlighted. Compared with the thinning grids method, it raises the computing speed by 1.3 times to suppress the dispersion.%为寻求快速、高精度的瑞雷波数值模拟方法,将常用于流体动力学中的通量校正传输技术(FCT)与交错网格有限差分方法相结合,对浅层各向同性弹性介质进行包括瑞雷面波和体波在内的全波场模拟.模拟结果表明:该方法有效地压制了粗网格条件下的数值频散现象,并保留了真实的波场振荡,特别是层状介质中瑞雷波的频散特征被凸显;在同一精度下,该方法与细化网格方法相比,计算效率提高1.3倍.

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