Spiral-driven accretion in protoplanetary discs

I. 2D models

¹ Univ. Grenoble Alpes, IPAG, 38000, Grenoble, France
e-mail: geoffroy.lesur@ujf-grenoble.fr
² CNRS, IPAG, 38000 Grenoble, France
³ Laboratoire AIM, CEA/DSM–CNRS–Université Paris 7, Irfu/Service d’Astrophysique, CEA-Saclay, 91191 Gif-sur-Yvette, France

Received: 12 June 2015
Accepted: 12 September 2015

Abstract

We numerically investigate the dynamics of a 2D non-magnetised protoplanetary disc surrounded by an inflow coming from an external envelope. We find that the accretion shock between the disc and the inflow is unstable, leading to the generation of large-amplitude spiral density waves. These spiral waves propagate over long distances, down to radii at least ten times smaller than the accretion shock radius. We measure spiral-driven outward angular momentum transport with 10^-4 ≲ α < 10^-2 for an inflow accretion rate Ṁ_inf ≳ 10^-8 M_⊙ yr^-1. We conclude that the interaction of the disc with its envelope leads to long-lived spiral density waves and radial angular momentum transport with rates that cannot be neglected in young non-magnetised protostellar discs.