Meridional Circulation of Dust and Gas in the Circumstellar Disk: Delivery of Solids onto the Circumplanetary Region

We carried out 3D dust+gas radiative hydrodynamic simulations of forming planets. investigated a parameter grid Neptune-, Saturn-, Jupiter-, and 5 Jupiter-mass planets at 5.2, 30, 50 AU distance from their star. found that the meridional circulation \citep{Szulagyi14,FC16} drives strong vertical flow for dust as well, hence is not settled in midplane, even mm-sized grains. The will deliver gas vertically onto circumplanetary region, efficiently bridging over gap. Hill-sphere accretion rates are $\sim10^{-8}$ to $10^{-10}$ $\rm{M_{Jup}/yr}$, increasing with planet-mass. For component, gain $10^{-6}$ $10^{-8}$ $\rm{M_{Jup}/yr}$. difference between smaller decreasing planetary mass. In vicinity planet, mm-grains can get trapped easier than gas, which means disk might be enriched solids comparison circumstellar disk. calculated local dust-to-gas ratio (DTG) everywhere identified altitude above midplane where DTG 1, 0.1, 0.01, 0.001. larger mass, higher delivered fraction lifted by planet. stirring mm-dust negligible Neptune-mass or below, but significant Saturn-mass.