Tracking the vortex motion by using Brownian fluid particles

被引：3
|
作者：
Qian, Zhongmin [1 ,3 ]
Qiu, Youchun [2 ]
Zhang, Yihuang [1 ,3 ]
机构：
[1] Univ Oxford, Math Inst, Oxford OX2 6GG, England
[2] Univ Toulouse, Inst Math Toulouse, MR 5219, CNRS,UPS, F-31062 Toulouse 9, France
[3] Oxford Suzhou Ctr Adv Res, Bldg A,388 Ruo Shui Rd,Suzhou Ind Pk, Jiandsu 215123, Peoples R China
来源：
PHYSICS OF FLUIDS | 2021年 / 33卷 / 10期
基金：
英国工程与自然科学研究理事会;
关键词：
CONVERGENCE; SIMULATION; DIFFUSION; FLOW; TURBULENCE; EQUATION;
D O I：
10.1063/5.0065073
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this paper, we propose a simple yet powerful vortex method to numerically approximate the dynamics of an incompressible flow. The idea is to sample the distribution of the initial vortices of the fluid flow in question and then follow vortex dynamics along Taylor's Brownian fluid particles. The weak convergences of this approximation scheme are obtained for both two-dimensional (2D) and three-dimensional (3D) fluid flows, though only for small time in 3D case. Based on our method, the simulation results are quite attracting.
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页数：14
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