shows $\ell=0$ Legendre coefficient (eq. \[\[eq:legendre\_coeff\]\]) of the shock surface (thick line), as well as minimum and maximum shock radii (thin lines). Middle panels show $\ell=1$ shock Legendre coefficient. Bottom panels show the fraction of the post-shock volume with an entropy higher than a given value (eq. \[\[eq:volume\_fraction\]\]). Note that bubble destruction (sudden decreases in $f_V$ for high entropy) precedes large amplitude sloshings of the shock (as indicated by $a_1$ changing sign). The unit of length is the initial shock radius without heating $r_{\rm s0}$ and the unit of time is the free-fall time at this position ($\sim 3$ ms for a central mass of $1.3M_\sun$ and $r_{\rm s0}\sim 150$ km, §\[s:setup\]).[]{data-label="f:shock_entropy_sasi"}](f2.eps){width="\columnwidth"}

![Entropy at selected times in the evolution of model p0B10L1, which explodes SASI-dominated. Panels show the seeding of perturbations in one hemisphere and bubble disruption on the other (a), loss of coherence of SASI (b), development of first large bubble (c), partial disruption and displacement of bubble (d), and final expansion (e). Compare with Figure \[f:shock\_entropy\_sasi\].[]{data-label="f:shock_entropy_snapshots"}](f3.eps){width="\columnwidth"}

### Interplay of SASI and Convection

The characteristic behavior of models with an early dominance of the SASI is illustrated in Figures \[f:shock\_entropy\_sasi\] and \[f:shock\_entropy\_snapshots\]. Initially, the $\ell=1$ shock Legendre coefficient displays 