Liutex-涡定义和第三代涡识别方法

刘超群

doi:10.7638/kqdlxxb-2020.0015

欢迎来到能源电力期刊网！

English Version 期刊登录

您当前的位置：

首页 >

文章列表页 >

Liutex-涡定义和第三代涡识别方法

研究论文 | 更新时间：2026-05-28

- Liutex-涡定义和第三代涡识别方法
- Liutex-third generation of vortex definition and identification methods
- 空气动力学学报 2020年38卷第3期页码：413-431
- 作者机构：
  
  美国德州大学阿灵顿分校, 得克萨斯阿灵顿,美国,76019
- 作者简介：
  
  刘超群(1945-), 男, 江苏仪征人, 教授, 研究方向:涡定义和识别, 湍流和转捩数值模拟等.E-mail:cliu@uta.edu
- 基金信息：
- DOI：10.7638/kqdlxxb-2020.0015
  中图分类号： V211.1;O357.5
- 纸质出版：2020
- 稿件说明：
移动端阅览
刘超群. Liutex-涡定义和第三代涡识别方法[J]. 空气动力学学报, 2020, 38(3): 413-431.

LIU Chaoqun. Liutex-third generation of vortex definition and identification methods[J]. 2020, 38(3): 413-431.
刘超群. Liutex-涡定义和第三代涡识别方法[J]. 空气动力学学报, 2020, 38(3): 413-431. DOI： 10.7638/kqdlxxb-2020.0015.

LIU Chaoqun. Liutex-third generation of vortex definition and identification methods[J]. 2020, 38(3): 413-431. DOI： 10.7638/kqdlxxb-2020.0015.

摘要

本文回顾了涡定义和涡识别方法的发展历史，着重介绍了作者UTA（University of Texas at Arlington）团队及其合作者在涡科学和湍流研究的一些最新学术创新成果。UTA团队发现了可以定量描述流体刚性转动部分的物理量——Liutex向量，其主要思想是把流体刚性转动从流体运动中提取出来，进而用Liutex来定义和识别涡结构，并已在广泛应用中证明了其作为涡识别方法的优越性。基于Liutex向量可以进一步研究涡量分解、速度梯度张量分解、流体运动分解、湍流结构、湍流生成机理以及旋涡的科学识别，为流体运动学的发展开辟了广阔的研究空间。区别于第一代涡识别方法和第二代涡识别方法，Liutex是一个向量，其方向代表当地转轴，大小代表当地流体刚性旋转角速度的二倍。本文详细介绍了基于Liutex向量的第三代涡的定义和识别方法，包括Liutex等值面、Liutex-Omega等值面、Liutex向量线、Liutex涡核线、以及最新发现的中低雷诺数湍流边界层中的Liutex-5/3幂次相似律，其发现很大程度上扩大了传统湍流能谱幂次律的适用范围，对建立湍流模型具有重要意义。

Abstract

A short review of the history of vortex identification is made. The article mainly introduces the new academic breakthrough and newest vortex identification methods in vortex science and turbulence research

developed by the research team and their collaborators at University of Texas at Arlington (UTA) led by Prof. Chaoqun Liu. Vortex is very common in nature but has no strict definition. Almost all textbooks in the world recognize vortex as vorticity tube and there is no difference between vorticity tube and vortex. Confusing

vortex with vorticity may be one of major obstacles of vortex science and turbulence research. The most significant progress made by Liu and his team is finding a physical quantity called Liutex which is a vector and can be applied to describe the fluid rotation quantitatively first time in history

which has many advantages over other vortex identification methods. This has been proved by wide applications and accepted gradually by the vortex and turbulence community as a unique mathematical definition of vortex. This discovery opens the gate of quantified research on vortex and turbulence. The main idea is to extract the rigid rotation from fluid motion called Liutex as a new physical quantity which is then applied for vortex definition

vorticity decomposition

velocity gradient tensor decomposition

fluid motion decomposition

turbulence structure

mechanism of turbulence generation and vortex identification. This also means to revisit the whole fluid kinematics. Being different from first generation of vortex identification methods which uses vorticity to measure vortex

and from the second generation of vortex identification methods which uses vortex criteria like

、

and

for vortex identification (they are all scalars)

Liutex is a vector. The third generation of vortex visualization and identifiction methods like Liutex vector

Liutex lines

Liutex iso-surface

Liutex-Omega iso-surface

Liutex core center lines

and Liutex Similarity (-5/3 Power law) are all briefly introduced in this paper. Liutex Similarity law could be a very significant discovery which could be very important to turbulence modeling.

关键词

Keywords

references

LIU C Q, YAN Y H, LU P. Physics of turbulence generation and sustenance in a boundary layer[J]. Computers Fluids, 2014, 102:353-384. https://doi.org/10.1016/j.compfluid.2014.06.032

Green S I. Fluid Vortices[M]. Dordrecht:Kluwer Academic Publishers, 1995).

HELMHOLTZ H. Über Integrale der hydrodynamischen Gleichungen, welche den Wirbelbewegungen entsprechen[J]. Journal Für Die Reine Und Angewandte Mathematik, 1858, 1858(55):25-55. https://doi.org/10.1515/crll.1858.55.25

ROBINSON S K. Coherent motions in the turbulent boundary layer[J]. Annual Review of Fluid Mechanics, 1991, 23(1):601-639. https://doi.org/10.1146/annurev.fl.23.010191.003125

WANG Y Q, YANG Y, YANG G, et al. DNS study on vortex and vorticity in late boundary layer transition[J]. Communications in Computational Physics, 2017, 22(2):441-459. https://doi.org/10.4208/cicp.oa-2016-0183

HUNT J, WRAY A, MOIN P. Eddies, streams, and convergence zones in turbulent flows[R]. Center for Turbulence Research Proceedings of the Summer Program, 1988: 193.

JEONG J, HUSSAIN F. On the identification of a vortex[J]. Journal of Fluid Mechanics, 1995, 285:69. https://doi.org/10.1017/s0022112095000462

CHONG M S, PERRY A E, CANTWELL B J. A general classification of three-dimensional flow fields[J]. Physics of Fluids A:Fluid Dynamics, 1990, 2(5):765-777. https://doi.org/10.1063/1.857730

ZHOU J, ADRIAN R J, BALACHANDAR S, et al. Mechanisms for generating coherent packets of hairpin vortices in channel flow[J]. Journal of Fluid Mechanics, 1999, 387:353-396. https://doi.org/10.1017/s002211209900467x

LIU C Q, WANG Y Q, YANG Y, et al. New omega vortex identification method[J]. Science China Physics, Mechanics Astronomy, 2016, 59(8):684711. https://doi.org/10.1007/s11433-016-0022-6

LIU C Q, GAO Y S, DONG X R, et al. Third generation of vortex identification methods:Omega and Liutex/Rortex based systems[J]. Journal of Hydrodynamics, 2019, 31(2):205-223.

LIU C Q, GAO Y S, TIAN S L, et al. Rortex:a new vortex vector definition and vorticity tensor and vector decompositions[J]. Physics of Fluids, 2018, 30(3):035103. https://doi.org/10.1063/1.5023001

GAO Y S, LIU C Q. Rortex and comparison with eigenvalue-based vortex identification criteria[J]. Physics of Fluids, 2018, 30(8):085107. https://doi.org/10.1063/1.5040112

DONG X, GAO Y, LIU C. New normalized rortex/vortex identification method[J]. Physics of Fluids, 2019, 31:011701. doi:10.1063/1.5066016

LIU J M, LIU C Q. Modified normalized rortex/vortex identification method[J]. Physics of Fluids, 2019, 31(6):061704. https://doi.org/10.1063/1.5109437

LIU J M, GAO Y S, WANG Y Q, et al. Objective Omega vortex identification method[J]. Journal of Hydrodynamics, 2019, 31(3):455-463. https://doi.org/10.1007/s42241-019-0028-y

LIU C Q. An objective version of the Rortex vector for vortex identification[J]. Physics of Fluids, 2019, 31(6):065112. https://doi.org/10.1063/1.5095624

GAO Y, LIU C. Letter:rortex based velocity gradient tensor decomposition[J]. Physics of Fluids, 2019, 31:011704. https://doi.org/10.1063/1.5084739

GAO Y S, LIU J M, YU Y F, et al. A Liutex based definition and identification of vortex core center lines[J]. Journal of Hydrodynamics, 2019, 31(3):445-454.

XU H Y, CAI X S, LIU C Q. Liutex (vortex) core definition and automatic identification for turbulence vortex structures[J]. Journal of Hydrodynamics, 2019, 31(5):857-863. https://doi.org/10.1007/s42241-019-0066-5

XU W, WANG Y, GAO Y, et al. Liutex similarity in turbulent boundary layer[J]. Journal of Hydrodynamics, 2019, 31:1259-1262.

DONG X R, WANG Y Q, CHEN X P, et al. Determination of epsilon for Omega vortex identification method[J]. Journal of Hydrodynamics, 2018, 30(4):541-548. https://doi.org/10.1007/s42241-018-0066-x

TEUESDELL C. Two measure of vorticity[J]. J Rational Mech Anal, 1953, 2:173-217.

TUEESDELL C. The kinematics of vorticity[M]. Indiana University Press, 1954: 106-112.

WANG Y Q, GAO Y S, LIU J M, et al. Explicit formula for the Liutex vector and physical meaning of vorticity based on the Liutex-Shear decomposition[J]. Journal of Hydrodynamics, 2019, 31(3):464-474. https://doi.org/10.1007/s42241-019-0032-2

BOULANGER, PH HAYES M. On shearing, stretching and spin[J]. Theoretical and Computational Fluids, 2002, 15:199-229.

LIU C Q. Letter:Galilean invariance of rortex[J]. Physics of Fluids, 2018, 30(11):111701. https://doi.org/10.1063/1.5058939

LIU J M, WANG Y Q, GAO Y S, et al. Galilean invariance of Omega vortex identification method[J]. Journal of Hydrodynamics, 2019, 31(2):249-255. https://doi.org/10.1007/s42241-019-0024-2

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

关于旋涡定义的思考

基于LBM方法的LAGOON起落架噪声预测与降噪方法研究

离心通风机降噪研究进展

某型电动跑车尾翼气动设计的仿真与试验研究

交错型CPR方法的保正实现策略及其对比研究