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Numerical simulations of planet-disk interactions are usually performed withhydro-codes that -- because they consider only an annulus of the disk, over a2D grid -- can not take into account the global evolution of the disk. However,the latter governs planetary migration of type II, so that the accuracy of theplanetary evolution can be questioned.  To develop an algorithm that models the local planet-disk interactionstogether with the global viscous evolution of the disk, we surround the usual2D grid with a 1D grid ranging over the real extension of the disk. The 1D and2D grids are coupled at their common boundaries via ghost rings, payingparticular attention to the fluxes at the interface, especially the flux ofangular momentum carried by waves. The computation is done in the framecentered on the center of mass to ensure angular momentum conservation.  The global evolution of the disk and the local planet-disk interactions areboth well described and the feedback of one on the other can be studied withthis algorithm, for a negligible additional computing cost with respect tousual algorithms.Comment: 12 pages, 11 figures, accepted for publication in A&

Simulating planet migration in globally evolving disks