SINGULAR APPROXIMATIONS FOR CALCULATING VORTEX FILAMENTS

V. L. Okulov; Ya Fukumoto

doi:10.1134/S0021894421030196

SINGULAR APPROXIMATIONS FOR CALCULATING VORTEX FILAMENTS

V. L. Okulov, Ya Fukumoto

Division of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Abstract: The accuracy of numerical calculations of the dynamics of vortex filaments is estimated via the cutoff method using the example of the motion of helical vortices. In the case of helical vortices with uniform vorticity distribution of a Rankine core, there are two analytical approaches to solving the problem. These approaches are used to determine the minimum admissible distance between vortex filaments or their elements to ensure the accuracy of calculations when using the cutoff method. There is an established error that occurs in the calculations based on the cutoff method in the case of convergence of the rounds of a helical vortex.

Original language	English
Pages (from-to)	519-524
Number of pages	6
Journal	Journal of Applied Mechanics and Technical Physics
Volume	62
Issue number	3
DOIs	https://doi.org/10.1134/S0021894421030196
Publication status	Published - May 2021

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1134/S0021894421030196

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@article{4224849b7b894e0e8ac43a6cec47b4bb,

title = "SINGULAR APPROXIMATIONS FOR CALCULATING VORTEX FILAMENTS",

abstract = "Abstract: The accuracy of numerical calculations of the dynamics of vortex filaments is estimated via the cutoff method using the example of the motion of helical vortices. In the case of helical vortices with uniform vorticity distribution of a Rankine core, there are two analytical approaches to solving the problem. These approaches are used to determine the minimum admissible distance between vortex filaments or their elements to ensure the accuracy of calculations when using the cutoff method. There is an established error that occurs in the calculations based on the cutoff method in the case of convergence of the rounds of a helical vortex.",

author = "Okulov, {V. L.} and Ya Fukumoto",

note = "Funding Information: The study of simulating a helical vortex using the Dyson method is carried out with the financial support of JSPS KAKENHI (Grant No. JP19K03672) and the Russian Foundation for Basic Research (Project Code 21-58-50003); the approximation and data analysis via the cutoff method with the vortex ring approximation to eliminate the singularity is carried out by V. L. Okulov within the framework of the state task of the Kutateladze Institute of Thermophysics, SB RAS. Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",

year = "2021",

month = may,

doi = "10.1134/S0021894421030196",

language = "English",

volume = "62",

pages = "519--524",

journal = "Journal of Applied Mechanics and Technical Physics",

issn = "0021-8944",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

}

TY - JOUR

T1 - SINGULAR APPROXIMATIONS FOR CALCULATING VORTEX FILAMENTS

AU - Okulov, V. L.

AU - Fukumoto, Ya

N1 - Funding Information: The study of simulating a helical vortex using the Dyson method is carried out with the financial support of JSPS KAKENHI (Grant No. JP19K03672) and the Russian Foundation for Basic Research (Project Code 21-58-50003); the approximation and data analysis via the cutoff method with the vortex ring approximation to eliminate the singularity is carried out by V. L. Okulov within the framework of the state task of the Kutateladze Institute of Thermophysics, SB RAS. Publisher Copyright: © 2021, Pleiades Publishing, Ltd.

PY - 2021/5

Y1 - 2021/5

N2 - Abstract: The accuracy of numerical calculations of the dynamics of vortex filaments is estimated via the cutoff method using the example of the motion of helical vortices. In the case of helical vortices with uniform vorticity distribution of a Rankine core, there are two analytical approaches to solving the problem. These approaches are used to determine the minimum admissible distance between vortex filaments or their elements to ensure the accuracy of calculations when using the cutoff method. There is an established error that occurs in the calculations based on the cutoff method in the case of convergence of the rounds of a helical vortex.

AB - Abstract: The accuracy of numerical calculations of the dynamics of vortex filaments is estimated via the cutoff method using the example of the motion of helical vortices. In the case of helical vortices with uniform vorticity distribution of a Rankine core, there are two analytical approaches to solving the problem. These approaches are used to determine the minimum admissible distance between vortex filaments or their elements to ensure the accuracy of calculations when using the cutoff method. There is an established error that occurs in the calculations based on the cutoff method in the case of convergence of the rounds of a helical vortex.

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U2 - 10.1134/S0021894421030196

DO - 10.1134/S0021894421030196

M3 - Article

AN - SCOPUS:85114686207

SN - 0021-8944

VL - 62

SP - 519

EP - 524

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

IS - 3

ER -

SINGULAR APPROXIMATIONS FOR CALCULATING VORTEX FILAMENTS

Abstract

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