zero to a value that yields an explosion in 2D, and a third set of models that explores the effect of large-amplitude perturbations on a SASI-dominated background state. All models are summarized in Table \[t:models\].

The first sequence (e0) is such that all models are well within the $\chi<3$ regime, corresponding to a SASI-dominated system. This background flow is obtained by setting the dissociation parameter $\varepsilon$ to zero. The flow is initially perturbed everywhere with random cell-to-cell velocity fluctuations, with an amplitude $0.1\%$ of the local radial velocity.

The second sequence (e3) has the dissociation parameter set to $30\%$ of the gravitational energy at the shock position without heating ($r=r_{\rm s0}$). The larger density jump yields smaller postshock velocities [@FT09a], increasing the value of $\chi$. Most of the models in this sequence lie in the $\chi>3$ regime, and are therefore convection-dominated. This combination of parameters is the same as used in one of the sequences of @FT09b. The same set of initial perturbations as in the e0 sequence are used.

A third set of models (p0) has large-amplitude initial perturbations applied mostly to the exploding model of the e0 sequence. We explore the effect of random cell-to-cell density perturbations in 