stretching of the metal and limits the amount of deformation. At moderate values of Bo ($\sim10$) and Re$_{1}$ ($\sim10-10^{2}$), we identify an *ellipsoidal-cap regime* [@clift_1978] similar to the spherical regime except for the flattened shape of the droplet.

Deformation of the drop is significant only at large values of Bo and moderate-to-large values of Re$_{1}$. At $\mathrm{Bo}\gtrsim 10^{2}$, we find that the initially round drop deforms into a backward-facing bag shape for Re$_{1}$ on the order of 10 [@baumann_1992; @clift_1978; @han_1999; @samuel_2012; @thomson_1886], and into a forward-facing bag shape (similar to the *skirted* mode of [@clift_1978] and to the *jellyfish* mode of [@landeau_2014]) for Re$_{1}$ on the order of $10^{2}$. At even larger values of Re$_{1}$, we identify a regime which we will refer to as *stirring regime* where the velocity field consists in two counter-rotating vortices, with smaller scale velocity fluctuations super-imposed. The metal phase is vigorously stretched and deformed into sheets. This regime is qualitatively similar to the *immiscible turbulent thermal* regime observed experimentally by @deguen_2014 and @landeau_2014, even though the 2D geometry of our simulations does not allow as much turbulence to develop.

From the dimensionless numbers definition of section \[sec:equations-dimensionless\], we write Re$_1$ as a function 