- M. A. Lavrent’ev and B. V. Shabat, Hydrodynamics Problems and Their Mathematical Models (Nauka, Moscow, 1973) [in Russian].
- G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge Univ. Press, Cambridge, 2012; Mir, Moscow, 1973).
- A. H. M. Eisenga, Dynamics of a Vortex Ring in a Rotating Fluid (Technische Universiteit Eindhoven, Eindhoven, 1997).
- P. G. Saffman, Vortex Dynamics (Cambridge Univ. Press, Cambridge, 1992; Nauch. Mir, Moscow, 2000).
- Y. Xiang, S. Qin, and H. Liu, “Patterns for Efficient Propulsion during the Energy Evolution of Vortex Rings”, Eur. J. Mech. B Fluids 71, 47-58 (2018). EDN: YFKQEX
- L. Qin, Y. Xiang, H. Lin, and H. Liu, “Formation and Dynamics of Compressible Vortex Rings Generated by a Shock Tube”, Exp. Fluids 61 (2020). DOI: 10.1007/s00348-020-2920-1 EDN: KGKEYV
- K. Shariff and A. Leonard, “Vortex Rings”, Annu. Rev. Fluid Mech. 24, 235-279 (1992).
- V. V. Meleshko, A. A. Gourjii, and T. S. Krasnopolskaya, “Vortex Rings: History and State of the Art”, J. Math. Sci. 187 (6), 772-808 (2012). EDN: RRFOOH
- P. McGavin and D. I. Pontin, “Vortex Line Topology during Vortex Tube Reconnection”, Phys. Rev. Fluids 3 (2018). DOI: 10.1103/PhysRevFluids.3.054701
-
D. G. Akhmetov and O. P. Kisarov, "Hydrodynamic Structure of a Vortex Ring", Zh. Prikl. Mekh. Tekh. Fiz. 7 (4), 120-124 (1966) [J. Appl. Mech. Tech. Phys. 7 (4), 87-90 (1966)]. EDN: YPIMPF
-
J. P. Sullivan, S. E. Widnall, and S. Ezekiel, "Study of Vortex Rings Using a Laser Doppler Velocimeter", AIAA J. 11 (10), 1384-1389 (1973).
-
D. G. Akhmetov, "Formation and Basic Parameters of Vortex Rings", Zh. Prikl. Mekh. Tekh. Fiz. 42 (5), 70-83 (2001) [J. Appl. Mech. Tech. Phys. 42 (5), 794-805 (2001)]. EDN: NCBNQX
-
D. G. Akhmetov, "Model of Vortex Ring Formation", Zh. Prikl. Mekh. Tekh. Fiz. 49 (6), 25-36 (2008) [J. Appl. Mech. Tech. Phys. 49 (6), 909-918 (2008)]. EDN: JVHCLT
-
A. Weigand and M. Gharib, "On the Evolution of Laminar Vortex Rings", Exp. Fluids 22 (1997). DOI: 10.1007/s003480050071
-
Z. Sun, B. Pointz, and C. Bruecker, "Transition of a Vortex Ring Visualized by 3D Scanning TomoPIV", in Proc. 18th Int. Symposium on the Application of Laser and Imaging Techniques to Fluid Mechanics, Lisbon, Portugal, July 4-7, 2016, https://openaccess.city.ac.uk/id/eprint/15664.
-
T. Maxworthy, "Some Experimental Studies of Vortex Rings", J. Fluid Mech. 81 (3), 465-495 (1977).
-
V. F. Kop'ev and S. A. Chernyshev, "Vortex Ring Oscillations, the Development of Turbulence in Vortex Rings and Generation of Sound", Usp. Fiz. Nauk 170 (7), 713-742 (2000) [Phys. Usp. 43 (7), 663-690 (2000)]. EDN: MPFYXF
-
K. Shariff, A. Leonard, and J. H. Ferziger, "Dynamical Systems Analysis of Fluid Transport in Time-Periodic Vortex Ring Flows", Phys. Fluids 18 (2006). DOI: 10.1063/1.2189867
-
M. Cheng, J. Lou, and T. T. Lim, "Evolution of an Elliptic Vortex Ring in a Viscous Fluid", Phys. Fluids 28 (2016). DOI: 10.1063/1.4944059 EDN: XYXSDN
-
M. Bergdorf, P. Koumoutsakos, and A. Leonard, "Direct Numerical Simulations of Vortex Rings at {rm Re}_{Gamma}=7500", J. Fluid Mech. 581, 495-505 (2007). EDN: HZKLBF
-
P. J. Archer, T. G. Thomas, and G. N. Coleman, "Direct Numerical Simulation of Vortex Ring Evolution from the Laminar to the Early Turbulent Regime", J. Fluid Mech. 598, 201-226 (2008).
-
J. R. Mansfield, O. M. Knio, and C. Meneveau, "Dynamic LES of Colliding Vortex Rings Using a 3D Vortex Method", J. Comput. Phys. 152 (1), 305-345 (1999). EDN: MTPTVN
-
K. Lindsay and R. Krasny, "A Particle Method and Adaptive Treecode for Vortex Sheet Motion in Three-Dimensional Flow", J. Comput. Phys. 172 (2), 879-907 (2001). EDN: MTRPJR
-
K. Kontis, R. An, and J. A. Edwards, "Compressible Vortex-Ring Interaction Studies with a Number of Generic Body Configurations", AIAA J. 44 (12), 2962-2978 (2006).
-
H. Zare-Behtash, K. Kontis, N. Gongora-Orozco, and K. Takayama, "Compressible Vortex Loops: Effect of Nozzle Geometry", Int. J. Heat Fluid Fl. 30 (3), 561-576 (2009). EDN: MTNMYJ
-
V. V. Nikulin and M. S. Kotel'nikova, "Numerical Investigation of an Interaction between a Surface and a Vortex Ring Moving Normally to It", Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 15 (4), 79-84 (2015). EDN: VHLEZB
-
A. I. Stroutchayev, "Carry of a Passive Impurity by a Vortex Ring at Interaction with an Obstacle", in Physics of Aerodisperse Systems (Odessa Univ., Odessa, 2002), Issue 39, pp. 195-205.
-
V. V. Selivanov and D. P. Levin, "Possibilities of Using Acoustic Means of Non-Lethal Action in Law Enforcement Operations", Vestn. Bauman Mosk. Gos. Tekh. Univ., Ser. Mech. Eng. No. 2, 102-114 (2009). EDN: KPNNXZ
-
V. V. Selivanov and D. P. Levin, Non-Lethal Weapon (Bauman Gos. Tekh. Univ., Moscow, 2017) [in Russian]. EDN: YHNYJX
-
K. Volkov, "Multigrid and Preconditioning Techniques in CFD Applications", in CFD Techniques and Thermo-Mechanics Applications (Springer, Cham, 2018), pp. 83-149.
-
K. N. Volkov, V. N. Emelyanov, I. V. Teterina, and M. S. Yakovchuk, "Methods and Concepts of Vortex Flow Visualization in the Problems of Computational Fluid Dynamics", Vychisl. Metody Programm. 17 (1), 81-100 (2016). EDN: YTTYTR
-
M. A. Green, C. W. Rowley, and G. Haller, "Detection of Lagrangian Coherent Structures in Three-Dimensional Turbulence", J. Fluid Mech. 572, 111-120 (2007). EDN: HWFWDP
