Geodesic
Numerical simulation of multiply connected axisymmetric discontinuous incompressible potential flows
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 7, pp. 1194-1202 
A. M. Bubenchikov; V. A. Korobitsyn; D. V. Korobitsyn; P. P. Kotov; Yu. I. Shokin. Numerical simulation of multiply connected axisymmetric discontinuous incompressible potential flows. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 7, pp. 1194-1202. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_7_a8/
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     title = {Numerical simulation of multiply connected axisymmetric discontinuous incompressible potential flows},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1194--1202},
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     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_7_a8/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The ascend and evolution of an axisymmetric gas bubble are studied numerically using an inviscid incompressible potential flow model. The volume of the gas bubble varies adiabatically. The transition from a simply connected bubble to a doubly connected toroidal one and its interaction with the free surface are simulated. The change in connectedness is accompanied by a nonzero velocity circulation and a discontinuous velocity potential occurring over an arbitrary toroidal liquid surface enclosing the bubble.

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