Computer extension of perturbation series in fluid mechanics
Computer extension of perturbation series in fluid mechanics
复制标题
流体力学中微扰级数的计算机扩展
DOI：
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发表时间：
1975
期刊：
影响因子：
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通讯作者：
M. V. Dyke
中科院分区：
文献类型：
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作者：
M. V. Dyke
在正则摄动展开式中，计算更高近似值的日常工作通常可以有效地委托给计算机。然后通常可以找到几十个甚至几百个项，这些项可能足以允许分析解的结构，然后重新构建序列以提高其效用。虽然正在开发用于代数和其他非数值运算的特殊语言，但使用简单的FORTRAN或类似语言就可以进行有效的计算。综述了近年来流体力学中的一些应用。详细介绍了两个新的计算的灵感来自悉尼Goldstein的工作：脉冲加热的平板在边界层流动和衰减的一系列的立方涡。
In a regular perturbation expansion, the routine labor of calculating higher approximations can often effectively be delegated to a computer. Then dozens or even hundreds of terms can typically be found. These may suffice to permit the structure of the solution to be analyzed, and the series then recast to improve its utility. Although special languages are being developed for algebraic and other nonnumerical manipulation, effective computations can be carried out using simply FORTRAN or the like. A number of recent applications in fluid mechanics are surveyed. Details are presented of two new computations inspired by work of Sydney Goldstein: impulsive heating of a flat plate in boundary-layer flow and the decay of an array of cubical vortices.