Numerical convergence of the random vortex method for complex flows
Numerical convergence of the random vortex method for complex flows
复制标题
复杂流动随机涡法的数值收敛
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
A. Giovannini
中科院分区：
文献类型：
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作者：
I. Mortazavi;P. Micheau;A. Giovannini
涡方法主要依赖于将连续的二维时间相关涡量场离散成大量的涡“团”，其位置和强度确定基本的速度场。本文研究了复杂流动中随机涡方法（RVM）的收敛性随三个离散参数的变化。这些参数中的两个是有关的涡度，即G（片或斑点强度）和h（片长度或核心半径的斑点）的空间离散化和第三个时间的离散化，？t即。观察到两个主要事件。第一，计算工作，但收敛没有达到。第二，计算失败。第一个行为是由于缺乏准确性，而第二个是由于缺乏数值稳定性。一旦满足稳定性条件，减小参数值总是会导致收敛。
Vortex methods rely principally on a discretization of the continuous two-dimensional time dependent vorticity field into a large number of vortex "blobs", whose position and strength determine the underlying velocity field. In this paper, the convergence of the random vortex method (RVM) for a complex flow is studied in function of three discretization parameters. Two of these parameters are related to the spatial discretization of the vorticity, i.e. G(sheet or blob strength) and h (sheet length or core radius of a blob) and the third one to the discretization of time, ?t i.e. . Two principal events are observed. First, the computation works but the convergence is not attained. Second, the computation fails. The first behaviour is attributed to a lack of accuracy while the second is attributed to a lack of numerical stability. Once the stability conditions are satisfied, decreasing the value of the parameters always leads to convergence.