Simulation of Vortical Structures’ Dynamics. I. The Modified CD Method
Vasily Yu Belashov1* and Oleg A Kharshiladze2
1Institute of Physics, Kazan Federal University, Kazan, Russia
2Iv. Javaxishvilis Tbilisi State University, Tbilisi, Georgia
*Corresponding Author: Vasily Yu Belashov, Institute of Physics, Kazan Federal University, Kazan, Russia.
Received:
April 08, 2021; Published:
Abstract
One of the most effective methods of simulation of the vortical structures’ dynamics described by the 2-dimensional equation of carry of a vortex and by the Poisson equation for a flow function, namely, the contour dynamics (CD) method which is based on representation of a vortical stream by the finite area vortical regions is considered. The modification of the CD method minimizing the errors arising at its direct application to the description of vortical structures is offered.
Keywords: Vortices; Modeling; Hydrodynamics; Modified Contour Dynamics Method; Algorithm
References
- Roach PJ. “Computational Fluid Dynamics”. 2nd Hermosa, Albuquerque, NM (1976).
- “Fundamental Methods in Hydrodynamics”. B. Alder, S. Fernbach, and M. Rotenberg, Eds. Academic Press, Inc. (1964).
- Deem GS and Zabusky NJ. “Stationary V-states: interaction, recurrence and breaking”. In “Solitons in Actions”, K. Lonngren and A. Scott, Eds. Academic Press, Inc. (1978): 277-293.
- Zabusky NJ., et al. “Contour Dynamics for the Euler Equations in Two Dimensions”. Journal of Computational Physics 135 (1979): 220-226.
- Belashov VYu and Kharshiladze OA. “The Modified Method of Contour Dynamics for Modeling of Vortical Structures”. Russian Open Conference on Radio Wave Propagation (RWP), Kazan, Russia, Kazan Federal University. Proceedings. IEEE Xplore Digital Library (2019): 523-526.
- Potter D. “Computational Physics”. J. Wiley and Sons (1973).
- Berezin YuA and Fedorchuk NP. “Simulation of non-stationary plasma processes”. Novosibirsk, VO “Nauka”, Siberian Publishing Company (1993).
- Belashov VYu and Singatulin RM. “Algorithm of the Contour Dynamics Method and Simulation of Vortex Structures”. KSPEU, Kazan. Dep. VINITI 11.02.2003, N 272-В2003 (in Russian).
- Belashov VYu and Kharshiladze OA. “The modified method of contour dynamics and modeling of vortical structures”. 161.1 (2019).
- Belashov VYu., et al. “Nonlinear Wave Structures of the Soliton and Vortex Types in Complex Continuous Media: Theory, Simulation, Applications”. In Lecture Notes of TICMI, Vl. 18, G. Jaiani, Ed. Tbilisi: Tbilisi University Press (2018): 1-90.
- Saffman PG. “Vortex Dynamics”. Cambridge Univ. Press (1992).
- Belashov VYu and Kharshiladze OA. “Numerical modeling of interaction of vortex structures in fluids and plasmas”. In VIII Annual Meeting of the Georgian Mechanical Union. Book of Abstracts. Tbilisi: Tbilisi University Press (2017): 31-32.
- Pokhotelov OA., et al. “Nonlinear Structures in the Earth's Magnetosphere and Atmosphere”. Plasma Physics Reports10 (1996): 852-863.
- Belashov VYu. “Interaction of N-vortex structures in a continuum, including atmosphere, hydrosphere and plasma”. Advances in Space Research 60 (2017): 1878-1890.
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