Latitudinal cross section of the zonal transport of sensible (c_pT, black contours, solid—positive, dotted—negative) and latent (Lq, color shading) heat (﹩{10}^{6}\,{\rm{W}}\,{{\rm{m}}}^{-2}﹩) through the eastern terminator (90°E) in (left column) the Trappist-1e case and (right column) the Proxima b case in (a) and (b) MassFlux, (c) and (d) Adjust, and (e) and (f) NoCnvPm simulations.