On the application of the integral invariants and decay laws of vorticity distributions
On the application of the integral invariants and decay laws of vorticity distributions
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涡度分布积分不变量和衰减定律的应用
DOI：
10.1017/s0022112083002840
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发表时间：
1983
影响因子：
3.7
通讯作者：
L. Ting
中科院分区：
文献类型：
--
作者：
L. Ting
本文研究了由初始涡量分布引起的三维不可压粘性非定常流场。给出了涡量分布矩的有关不变量和衰减规律，并从两个方面说明了它们在流场数值计算中的作用。首先，这些矩决定了远场速度的主导项，这些主导项可以用作数值计算的边界条件。其次，数值解与不变量和衰减规律的偏差可以用来衡量数值解的误差。
Unsteady three-dimensional incompressible viscous flow fields induced by initial vorticity distributions are studied. Relevant invariants and decay laws of the moments of vorticity distributions are presented and shown to be useful in the numerical calculation of flow fields in two ways. First, the moments determine the leading terms of the far-field velocity, which can be employed as boundary conditions for the numerical calculation. Secondly, the deviations of the numerical results from the invariants and the decay laws can be used to measure the error of the numerical solution.