  Regions of stellar and planetary interiors that are unstable according to the
Schwarzschild criterion, but stable according to the Ledoux criterion, are
subject to a form of oscillatory double-diffusive (ODD) convection often called
"semi-convection". In this series of papers, we use an extensive suite of
three-dimensional (3D) numerical simulations to quantify the transport of heat
and composition by ODD convection, and ultimately propose a new 1D prescription
that can be used in stellar and planetary structure and evolution models. The
first paper in this series demonstrated that under certain conditions ODD
convection spontaneously transitions from an initially homogeneously turbulent
state into a staircase of convective layers, which results in a substantial
increase in the transport of heat and composition. Here, we present simulations
of ODD convection in this layered regime, we describe the dynamical behavior of
the layers, and we derive empirical scaling laws for the transport through
layered convection.
