摘要: |
对经典对流方程的数值解建立了时间序列插值的数值格式。其主要特点,是在特征线脚所在时间插值区间的两个基点上进行插值。理论分析和对典型实例验算结果表明,此格式经济有效,比空间插值方法具有更高的精度,同时不存在边界条件处理上的困难。 |
关键词: 对流方程,特征—差分法,时间序列插值 |
DOI: |
分类号:O351.2 |
基金项目: |
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A new approach to numerical simulation of advection process |
Mao Zeyu,Chen Changzhi, Dong Zengnan
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Abstract: |
A refined numerical method,based upon time-line interpolation,for the simulation of advection has been tentatively explored.A complete set of temporal reachback numerical scheme in applying the method of characteristics has been derived,and the favorable accuracy of the method demonstrated. The use of interpolations in time,rather than the more widely used interpolations in space,demonstrates that it generates a much smaller numerical error. |
Key words: advection equation, characteristic-difference method,time-line interpolation, |