Astronomy and Astrophysics – Astrophysics
Scientific paper
2005-03-18
Astrophys.J. 624 (2005) 1003-1009
Astronomy and Astrophysics
Astrophysics
17 pages total with 9 figures (Fig.4,5,9 are in .jpg), accepted to ApJ
Scientific paper
10.1086/429367
We present two-dimensional inviscid hydrodynamic simulations of a protoplanetary disk with an embedded planet, emphasizing the evolution of potential vorticity (the ratio of vorticity to density) and its dependence on numerical resolutions. By analyzing the structure of spiral shocks made by the planet, we show that progressive changes of the potential vorticity caused by spiral shocks ultimately lead to the excitation of a secondary instability. We also demonstrate that very high numerical resolution is required to both follow the potential vorticity changes and identify the location where the secondary instability is first excited. Low-resolution results are shown to give the wrong location. We establish the robustness of a secondary instability and its impact on the torque onto the planet. After the saturation of the instability, the disk shows large-scale non-axisymmetry, causing the torque on the planet to oscillate with large amplitude. The impact of the oscillating torque on the protoplanet's migration remains to be investigated.
Koller Josef
Li Handong
Li Shiheng
Liang Edison
Lin Dacheng
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