Voir la notice de l'article provenant de la source Math-Net.Ru
@article{ND_2012_8_4_a9, author = {Evgeny V. Vetchanin and Ivan S. Mamaev and Valentin A. Tenenev}, title = {The motion of a body with variable mass geometry in a viscous fluid}, journal = {Russian journal of nonlinear dynamics}, pages = {815--836}, publisher = {mathdoc}, volume = {8}, number = {4}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/ND_2012_8_4_a9/} }
TY - JOUR AU - Evgeny V. Vetchanin AU - Ivan S. Mamaev AU - Valentin A. Tenenev TI - The motion of a body with variable mass geometry in a viscous fluid JO - Russian journal of nonlinear dynamics PY - 2012 SP - 815 EP - 836 VL - 8 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ND_2012_8_4_a9/ LA - ru ID - ND_2012_8_4_a9 ER -
%0 Journal Article %A Evgeny V. Vetchanin %A Ivan S. Mamaev %A Valentin A. Tenenev %T The motion of a body with variable mass geometry in a viscous fluid %J Russian journal of nonlinear dynamics %D 2012 %P 815-836 %V 8 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ND_2012_8_4_a9/ %G ru %F ND_2012_8_4_a9
Evgeny V. Vetchanin; Ivan S. Mamaev; Valentin A. Tenenev. The motion of a body with variable mass geometry in a viscous fluid. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 4, pp. 815-836. http://geodesic.mathdoc.fr/item/ND_2012_8_4_a9/
[1] Borisov A. V., Mamaev I. S., Dinamika tverdogo tela, Institut kompyuternykh issledovanii, M.–Izhevsk, 2005, 576 pp. | MR
[2] Borisov A. V., Kozlov V. V., Mamaev I. S., “Asymptotic stability and associated problems of failing rigid body”, Regul. Chaotic Dyn., 12:5 (2007), 531–565 | DOI | MR | Zbl
[3] Borisov A. V., Mamaev I. S., “On the motion of a heavy rigid body in an ideal fluid with circulation”, Chaos, 16:1 (2006), 013118, 7 pp. | DOI | MR | Zbl
[4] Lamb G., Gidrodinamika, OGIZ. Gostekhizdat, M.–L., 1947, 928 pp.
[5] Shlikhting G., Teoriya pogranichnogo sloya, Nauka, M., 1974, 711 pp.
[6] Lindgren E. R., “The motion of a sphere in an incompressible viscous fluid at Reynolds number considerably less than one”, Phys. Scripta, 60 (1999), 97–110 | DOI | MR | Zbl
[7] Guschin V. A., Matyushin P. V., “Matematicheskoe modelirovanie prostranstvennykh techenii neszhimaemoi zhidkosti”, Matem. modelirovanie, 18:5 (2006), 5–20
[8] Allen J. J., Jouanne Y., Shashikanth B. N., “Vortex with a moving sphere”, J. Fluid Mech., 587 (2007), 337–346 | DOI | MR | Zbl
[9] Tallapragada Ph., Kelly S., “Dynamics and self-propulsion of a spherical body shedding coaxial vortex ring in an ideal fluid”, Regul. Chaotic Dyn., 2012 (to appear)
[10] Saffman P. G., “The self-propulsion of a deformable body in a perfect fluid”, J. Fluid Mech., 28:2 (1967), 385–389 | DOI | MR | Zbl
[11] Galper A. R., Miloh T., “Motion stability of a deformable body in an ideal fluid with applications to the $N$ spheres problem”, Phys. Fluids, 10:1 (1998), 119–130 | DOI | MR | Zbl
[12] Galper A. R., Miloh T., “Hydrodynamics and stability of a deformable body moving in the proximity of interfaces”, Phys. Fluids, 11:4 (1999), 795–806 | DOI | MR | Zbl
[13] Lighthill M. J., “On the squirming motion of nearly spherical deformable bodies through liquids at very small Reynolds numbers”, Comm. Pure Appl. Math., 5:2 (1952), 109–118 | DOI | MR | Zbl
[14] Koiller J., Ehlers K., Montgomery R., “Problems and progress in microswimming”, J. Nonlinear Sci., 6 (1996), 507–541 | DOI | MR | Zbl
[15] Chernousko F. L., “O peremeschenii tela v zhidkosti za schet kolebanii prisoedinennogo zvena”, DAN, 431:1 (2010), 46–49 | MR
[16] Chernousko F. L., “Optimalnoe peremeschenie mnogozvennoi sistemy v srede s soprotivleniem”, Tr. inst. matem. i mekhan. UrO RAN, 17, no. 2, 2011, 240–255
[17] Guasto J. S., Johnson K. A., Gollub J. P., “Oscillatory flows induced by microorganisms swimming in two dimensions”, Phys. Rev. Lett., 105 (2010), 168102, 4 pp. | DOI
[18] Hieber S. E., Koumoutsakos P., “An immersed boundary method for smoothed particle hydrodynamics of self-propelled swimmers”, J. Comput. Phys., 227:19 (2008), 8636–8654 | DOI | MR | Zbl
[19] Sahin M., Mohseni K., Colin S. P., “The numerical comparison of flow patterns and propulsive performances for the hydromedusae Sarsia sp. and Aequorea victoria”, J. Exp. Biol., 212 (2009), 2656–2667 | DOI
[20] Eldredge J. D., “Numerical simulations of undulatory swimming at moderate Reynolds number”, Bioinspir Biomim., 1:4 (2006), S19–S24 | DOI
[21] Eldredge J. D., Colonius T., Leonard A., “A vortex particle method for two-dimensional compressible flow”, J. Comput. Phys., 179:2 (2002), 371–399 | DOI | MR | Zbl
[22] Yatsun S. F., Bezmen P. A., Sapronov K. A., Rublev S. B., “Dinamika mobilnogo vibratsionnogo robota s vnutrennei podvizhnoi massoi”, Izv. Kursk. gos. tekhn. un-ta, 31:2 (2010), 21–31
[23] Chernousko F. L., Bolotnik N. N., “Mobilnye roboty, upravlyaemye dvizheniem vnutrennikh tel”, Tr. inst. matem. i mekhan. UrO RAN, 16, no. 5, 2010, 213–222
[24] Volkova L. Yu., Yatsun S. F., “Upravlenie dvizheniem trekhmassovogo robota, peremeschayuschegosya v zhidkoi srede”, Nelineinaya dinamika, 7:4 (2011), 845–857
[25] Childress S., Spagnolie S. E., Tokieda T., “A bug on a raft: recoil locomotion in a viscous fluid”, J. Fluid Mech., 669 (2011), 527–556 | DOI | MR | Zbl
[26] Ramodanov S. M., Tenenev V. A., “Dvizhenie tela s peremennoi geometriei mass v bezgranichnoi vyazkoi zhidkosti”, Nelineinaya dinamika, 7:3 (2011), 635–647 | MR
[27] Vetchanin E. V., Tenenev V. A., “Modelirovanie upravleniya dvizheniem v vyazkoi zhidkosti tela s peremennoi geometriei mass”, Kompyuternye issledovaniya i modelirovanie, 3:4 (2011), 371–381
[28] Kozlov V. V., Ramodanov S. M., “O dvizhenii izmenyaemogo tela v idealnoi zhidkosti”, PMM, 65:4 (2001), 592–601 | MR | Zbl
[29] Mougin G., Magnaudet J., “The generalized Kirchhoff equations and their application to the interaction between a rigid body and an arbitrary time-dependent viscous flow”, Internat. J. Multiphase Flow, 28 (2002), 1837–1851 | DOI | Zbl
[30] Calmet I., Magnaudet J., “Large-eddy simulation of high-Schmidt number mass transfer in a turbulent channel flow”, Phys. Fluids, 9:2 (1997), 438–455 | DOI | MR
[31] Rai M. M., Moin P., “Direct simulations of turbulent flow using finite-difference schemes”, J. Comput. Phys., 96 (1991), 15–53 | DOI | Zbl
[32] Mittal R., Dong H., Bozkurttas M., Najjar F. M., Vargas A., von Loebbecke A., “A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries”, J. Comp. Phys., 227 (2008), 4825–4852 | DOI | MR | Zbl
[33] Loitsyanskii L. G., Mekhanika zhidkosti i gaza, Ucheb. dlya vuzov., 7-e izd., ispr., Drofa, M., 2003, 840 pp.
[34] OpenFOAM: The Open Source CFD Toolbox, Programmer's Guide: v. 2.1.0, 15th Dec 2011
[35] Patankar S. V., Numerical heat transfer and fluid flow, Taylor Francis Group, New York, 1980, 197 pp.
[36] Dupeux G., Goff A. L., Quéré D., Clanet C., “The spinning ball spiral”, New J. Phys., 12 (2010), 093004, 12 pp. | DOI
[37] Kozlov V. V., Ramodanov S. M., “O dvizhenii v idealnoi zhidkosti tela s zhestkoi obolochkoi i peremennoi geometriei mass”, DAN, 382:4 (2002), 478–481 | MR
[38] Kozlov V. V., Onischenko D. A., O dvizhenii tela s zhestkoi obolochkoi i peremennoi geometriei mass v beskonechnom ob'eme idealnoi zhidkosti, Fizmatlit, M., 2003, 465–476