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239832

Tracking of the development of a vortex ring in isotropic turbulence

Article

Last updated: 04 Jan 2025

Subjects

-

Tags

Mathematics

Abstract

In the current study, the isotropic turbulence, and the lattice Boltzmann method (LBM) are utilized as helpful tools to track the development of a vortex ring in isotropic turbulence. A vortex ring is isolated from a decaying turbulent flow with a resolution of 〖128〗^3, and three different approaches are considered to deal with the single vortex ring. The first case has started at null velocity, considering the vortex ring as a forcing source where the velocity modes at low wavenumbers are calculated using the stored vorticity data from the Poisson equation ∇ ⃑×w ⃑=-∇^2 u ⃑ in the Fourier space. Then, large tubular vortices are found, and the ring has broken as a result of being an external force every time step. In the second case, the vortex ring is used as an initial state and left to dissipate, and large tubular vortices are formed around the ring due to the presence of a tube source. Finally, an initial state from a forced turbulent flow is used, and the vortex ring is also utilized as a forcing source every time step in the LBM. The vortex ring has broken and interacted with the tubular vortices from the forced turbulence forming a variety of thin tubular vortices. The three cases are studied and compared, moreover, some statistical features of the flow field are calculated such as the Taylor-Reynolds number〖 R〗_λ, the Taylor micro-scale λ, the Kolmogorov micro-scale η, and the energy spectrum function E(k).

DOI

10.21608/fsrt.2022.136873.1063

Keywords

Isotropic turbulence, Vortex ring, Vortex tracking, LBM, D3Q19

Authors

First Name

Waleed

Last Name

Abdel Kareem

MiddleName

-

Affiliation

Department of Mathematics Suez University, Suez, Egypt

Email

waleed.abdelkareem@sci.suezuni.edu.eg

City

Suez

Orcid

-

First Name

Zafer

Last Name

Asker

MiddleName

-

Affiliation

Department of Mathematics, Suez University, Suez, Egypt

Email

zafer.asker@hotmail.com

City

-

Orcid

-

First Name

Hamed

Last Name

El Sherbiny

MiddleName

-

Affiliation

Department of Mathematics, Suez University, Suez, Egypt

Email

hamed.elsherbiny@sci.suezuni.edu.eg

City

-

Orcid

-

First Name

Hadeer

Last Name

Mohamed

MiddleName

-

Affiliation

Department of Mathematics, Suez University, Suez, Egypt.

Email

hadeer.mohamed@sci.suezuni.edu.eg

City

-

Orcid

-

Volume

4

Article Issue

1

Related Issue

37604

Issue Date

2022-11-01

Receive Date

2022-05-04

Publish Date

2022-11-01

Print ISSN

2682-2962

Online ISSN

2682-2970

Link

https://fsrt.journals.ekb.eg/article_239832.html

Detail API

https://fsrt.journals.ekb.eg/service?article_code=239832

Order

4

Type

Original Article

Type Code

1,029

Publication Type

Journal

Publication Title

Frontiers in Scientific Research and Technology

Publication Link

https://fsrt.journals.ekb.eg/

MainTitle

Tracking of the development of a vortex ring in isotropic turbulence

Details

Type

Article

Created At

22 Jan 2023