摘要
利用Taylor公式展开导出了交错网格中可导函数任意次导数的任意偶数阶精度的差分近似式及相应的差分系数,从而改进了常规高精度交错网格有限差分算法中对各个空间导数采用不一致精度的问题。采用推导的交错网格高阶差分算法对一阶弹性波动方程进行数值模拟,得到了精确的数值模拟结果,证明了推导的交错网格高阶差分算法的正确性。
A finite difference scheme with any-order accuracy and corresponding coefficients of any number of derivatives of functions which have any number of derivatives by Taylor formula is deduced in this paper.It is helpful to improve the staggered grid finite difference algorithm which has inconsistent accuracy in difference space derivatives.We make a simulation of seismic response with conventional FD scheme and the new FD scheme respectively.As a result,the new FD scheme is more stabilized and more accurate.
出处
《物探化探计算技术》
CAS
CSCD
2015年第6期709-715,共7页
Computing Techniques For Geophysical and Geochemical Exploration
基金
宁夏回族自治区地勘基金项目(2014-地勘基金07)
关键词
交错网格
有限差分
数值模拟
staggered grid
finite difference
numerical simulation
