Astronomy and Astrophysics – Astrophysics
Scientific paper
2004-01-21
Astron.Astrophys. 418 (2004) 325-335
Astronomy and Astrophysics
Astrophysics
11 pages, 14 figures, uses natbib.sty and aa.cls; accepted for publication by A&A. Please contact the author for a version wit
Scientific paper
10.1051/0004-6361:20034034
We have performed Smoothed Particle Hydrodynamics (SPH) simulations to study the time evolution of one and two protoplanets embedded in a protoplanetary accretion disc. We investigate accretion and migration rates of a single protoplanet depending on several parameters of the protoplanetary disc, mainly viscosity and scale height. Additionally, we consider the influence of a second protoplanet in a long time simulation and examine the migration of the two planets in the disc, especially the growth of eccentricity and chaotic behaviour. One aim of this work is to establish the feasibility of SPH for such calculations considering that usually only grid-based methods are adopted. To resolve shocks and to prevent particle penetration, we introduce a new approach for an artificial viscosity, which consists of an additional artificial bulk viscosity term in the SPH-representation of the Navier-Stokes equation. This allows for an accurate treatment of the physical kinematic viscosity to describe the shear, without the use of an artificial shear viscosity.
Hipp Martin
Kley Willy
Schaefer Carl
Speith Roland
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