SINGULAR APPROXIMATIONS FOR CALCULATING VORTEX FILAMENTS

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...

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Bibliographic Details
Published inJournal of applied mechanics and technical physics Vol. 62; no. 3; pp. 519 - 524
Main Authors Okulov, V. L., Fukumoto, Ya
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 2021
Springer Nature B.V
Subjects
Applications of Mathematics
Classical and Continuum Physics
Classical Mechanics
Filaments
Fluid- and Aerodynamics
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Physics
Physics and Astronomy
Vortex filaments
Vortices
Vorticity
helical vortex
desingularization
vortex filaments
regularization of numerical solutions
vortex dynamics
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Summary: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.
ISSN:0021-8944
1573-8620
DOI:10.1134/S0021894421030196