TY - JOUR

T1 - Singular approximations for calculating vortex filaments

AU - Okulov, V. L.

AU - Fukumoto, Ya

N1 - Publisher Copyright: © 2021, Pleiades Publishing, Ltd.

PY - 2021/5

Y1 - 2021/5

N2 - 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 - 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.

KW - desingularization

KW - helical vortex

KW - regularization of numerical solutions

KW - vortex dynamics

KW - vortex filaments

UR - http://www.scopus.com/inward/record.url?scp=85114686207&partnerID=8YFLogxK

U2 - 10.1134/S0021894421030196

DO - 10.1134/S0021894421030196

M3 - Article

AN - SCOPUS:85114686207

VL - 62

SP - 519

EP - 524

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - 3

ER -