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首页> 外文期刊>Journal of Computational Physics >A fast resurrected core-spreading vortex method with no-slip boundary conditions
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A fast resurrected core-spreading vortex method with no-slip boundary conditions

机译：无滑移边界条件的快速复核扩散核心涡旋方法

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摘要

To simulate two-dimensional viscous incompressible flows based on a scheme of blob splitting and merging, we developed a vortex method and employed a fast multipole method to speed the computation of velocities. The diffusion of the vortex sheet induced at a solid wall by the no-slip boundary conditions is first modeled according to the analytical solution of Koumoutsakos and then converted into discrete blobs in the vicinity of the wall. To prevent the vorticity from entering the solid body, we introduce a concept residual circulation in a sense that only a partial circulation of the vortex sheet is diffused into the flow field; the rest remains at the wall. Blobs near the wall are thus avoided. Blobs near the wall that might cause large fluctuations in the strength of the vortex sheet are handled similarly. The solver thus developed requires no grid-based remeshing. We applied this solver to simulate the flow induced with an impulsively initiated circular cylinder; the results agree satisfactorily with those of previous experimental and numerical investigations. (C) 2008 Elsevier Inc. All rights reserved.
机译：为了基于斑点分裂和合并方案模拟二维粘性不可压缩流，我们开发了一种涡旋方法并采用了快速多极点方法来加快速度的计算。首先根据Koumoutsakos的解析解对在无滑移边界条件下在固体壁上引起的涡流片的扩散进行建模，然后将其转换为壁附近的离散斑点。为了防止涡旋进入固体，我们引入了概念残留循环，即仅涡旋片的部分循环扩散到流场中;其余的留在墙上。因此避免了壁附近的斑点。类似地处理壁附近的斑点，这些斑点可能导致涡流板的强度出现较大波动。这样开发的求解器不需要基于网格的重新网格化。我们应用了该求解器来模拟由脉冲启动的圆柱体引起的流动。结果与先前的实验和数值研究令人满意。 （C）2008 Elsevier Inc.保留所有权利。

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