DOI: https://doi.org/10.26089/NumMet.v22r311

Simulation and visualization of formation of vortex ring, its propagation and transportation of passive scalar

Authors

  • K.N. Volkov
  • V.N. Emelyanov
  • I.E. Kapranov

Keywords:

computational fluid dynamics
vortex dynamics
vortex ring
vorticity
finite Lyapunov exponent method

Abstract

Numerical simulation of gas-dynamic processes accompanying the formation and propagation of vortex rings obtained using a piston generator is considered. The influence of the characteristics of the vortex ring on the transfer of the passive particles is discussed. Unsteady Navier--Stokes equations are used for numerical calculations, and finite volume method is applied to their discretization. The results of numerical simulation make it possible to obtain the geometric and dynamic characteristics of the vortex ring, which correspond to the self-similar theory of the vortex ring and experimental data. In addition to traditional approaches to visualization of vortex flows based on the construction of contours of various flow quantities, invariants of the velocity gradient tensor and the method of Lyapunov exponents over a finite time interval are used to visualize vortex structures.

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Published

2021-09-14

Issue

Vol. 22 (2021): Issue 3.

Section

Methods and algorithms of computational mathematics and their applications

Author Biographies

K.N. Volkov

D.F. Ustinov Baltic State Technical University «Voenmekh», Faculty of Rocket and Space Engineering
• Leading Researcher

V.N. Emelyanov

D.F. Ustinov Baltic State Technical University «Voenmekh»
• Dr. Sci., Professor

I.E. Kapranov

AO TsKB Rubin
• PhD., Scientist

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Copyright (c) 2021 К.Н. Волков, В.Н. Емельянов, И.Е. Капранов

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