IMPROVING BLACK HOLE ACCRETION TREATMENT IN NUMERICAL SIMULATIONS

Matas Tartėnas1, Kastytis Zubovas1, 2

1 Department of Fundamental Research, Center for Physical Sciences and Technology, Lithuania

2 Astronomical Observatory, Vilnius University, Lithuania

[email protected]

Gas accretion on to a supermassive black hole (SMBH) is the engine supporting active galactic nuclei (AGN). Most of the luminosity is generated by a sub-parsec scale accretion disc which forms if a significant amount of gas comes close to the SMBH, but to fully understand how activity is initiated and supported over a longer period of time, we have to study gas dynamics on various galactic spatial scales. Gas from kiloparsec scales is observed to migrate toward the centre and is seen to be accumulated in ~ 10-100 pc circumnuclear rings [1], which, as seen in recent ALMA local AGN observations, may become the reservoirs of gas feeding the SMBH [2].

One of the most important tools in studying gas dynamics are 3D hydrodynamical models. But current models have trouble accurately simulating phenomena that occur on vastly different spatial scales, e.g. ranging from the circumnuclear gas reservoir at ~ 10 pc from the SMBH to the accretion disc at <0.01 pc. Our aim is to improve simulations of the vicinity of AGN by adding a more detailed model of accretion. We do this by implementing a sub-grid accretion disc coupled to the black hole particle. We use a standard thin $\alpha$-prescription [3] that consists of a number of concentric rings and is dynamically evolved with a separate time criterion than the hydrodynamic simulation as a whole.

We test our approach by simulating a several-parsec-wide region with conditions similar to those at the centre of our Galaxy using 3D hydrodynamical code Gadget-3. The model consists of three main components: the central SMBH $(M_{\rm bh}=4\times10^6\,{\rm M_\odot})$, the Circumnuclear Ring-like toroidal gas ring $(M_{\rm r}=10^5\,{\rm M_\odot}, R_{\rm in}=1.5\,{\rm pc}, R_{\rm out}=4\,{\rm pc})$ and an infalling molecular cloud $(M_{\rm mc}=10^5\,{\rm M_\odot}, R_{\rm mc}=3\,{\rm pc})$. A retrograde collision between the molecular cloud and the gas ring results in significant accretion, where the accretion disc is fed by the gas that crosses a sink boundary $(r_{\rm sink}=0.01\,{\rm pc})$ in the hydrodynamical model.

Initial results show promise. The more detailed accretion prescription does not significantly increase the computational cost. Accretion occurs more smoothly over a longer period of time as the gas moves through the viscous disc (Fig. 1, left). Various parameters of the accretion disc can be followed over time (e.g. the surface density in Fig. 1, right), which allows us to add a more precise prescription for feedback and mass loss due to luminosity exceeding the Eddington rate, which we plan to do in the future.

Figure 1
Fig. 1. Left: mass accretion rate on to the disc particle (blue) and SMBH mediated by the accretion disc (red). Grey lines show results from a simple two-state accretion model limited by the constant accretion disc viscosity timescale. Right: surface density of the accretion disc at various times during the simulation run.

[1] N. Butterfield, A. Barnes et al, Investigating the gas in the Galactic Bar: the missing link between the Galactic Disc and the Central Molecular Zone, Bulletin of the American Astronomical Society 51, 3, 460 (2019)

[2] A. Audibert and F. Combes, ALMA captures feeding and feedback from the active galactic nucleus in NGC 613, Astronomy & Astrophysics 632, A33 (2019).

[3] J. E. Pringle, Accretion discs in astrophysics, Annual Review of Astronomy and Astrophysics 19, 137-162 (1981).