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Fig. A.1

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Top: Midplane radial mass flux of large dust grains in a planetocentric coordinate frame. The composite color gradient shows log M˙pc$\dot{\mathcal{M}}_{pc}$ wherever M˙pc>0$\dot{\mathcal{M}}_{pc}>0$ (red; flux towards the planet) and log|M˙pc|$\log |\dot{\mathcal{M}}_{pc}|$ wherever M˙pc<0$\dot{\mathcal{M}}_{pc}<0$ (blue; flux away from the planet). The underlying planetocentric mesh was only used for the purpose of calculating M˙pc$\dot{\mathcal{M}}_{pc}$; it does not correspond to the mesh used in our hydrodynamic simulations. The black circle marks the Hill radius. The green isocontour is where M˙pc=0$\dot{\mathcal{M}}_{pc}=0$. Bottom: Flow topology of large dust grains obtained with the line integral convolution (LIC) method. Individual columns (left to right, respectively) correspond to simulation times t =375, 400, and 425 orbits.

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