Geodesic
Numerical simulation of inviscid bubble dynamics in a centrally symmetric gravitational field
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 4, pp. 684-695 
A. V. Vishnevskii; A. M. Oparin; N. N. Fimin; V. M. Chechetkin. Numerical simulation of inviscid bubble dynamics in a centrally symmetric gravitational field. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 4, pp. 684-695. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_4_a12/
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     title = {Numerical simulation of inviscid bubble dynamics in a~centrally symmetric gravitational field},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {684--695},
     year = {2011},
     volume = {51},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_4_a12/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The motion of bubbles in a centrally symmetric gravitational field is numerically simulated using two-dimensional conservation laws (Euler equations). The dynamics of bubbles with various numbers of modes in the initial perturbation are studied. The numerical results reveal features that are substantially different from the plane case in a homogeneous gravitational field. Bubble perturbations nearly do not interact at the formation stage. The lowest modes are amplified in the course of the bubble evolution.

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