Magnetohydrodynamics in a Cylindrical Shearing Box. (arXiv:1904.05032v1 [astro-ph.HE])
<a href="http://arxiv.org/find/astro-ph/1/au:+Suzuki_T/0/1/0/all/0/1">Takeru K. Suzuki</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Taki_T/0/1/0/all/0/1">Tetsuo Taki</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Suriano_S/0/1/0/all/0/1">Scott S. Suriano</a>
We develop a framework for magnetohydrodynamical (MHD) simulations in a local
cylindrical shearing box by extending the formulation of the Cartesian shearing
box. We construct shearing-periodic conditions at the radial boundaries of a
simulation box from the conservation relations of the basic MHD equations. We
demonstrate quasi-steady mass accretion, which cannot be handled by the
standard Cartesian shearing box model, with an ideal MHD simulation in a
vertically unstratified cylindrical shearing box up to 200 rotations with (i)
net vertical magnetic flux, (ii) a locally isothermal equation of state, and
(iii) a sub-Keplerian equilibrium rotation. Inward mass accretion is induced to
balance with the outward angular momentum flux of the MHD turbulence triggered
by the magnetorotational instability in a self-consistent manner. We discuss
detailed physical properties of the saturated magnetic field, in comparison to
the results of a Cartesian shearing box simulation.
We develop a framework for magnetohydrodynamical (MHD) simulations in a local
cylindrical shearing box by extending the formulation of the Cartesian shearing
box. We construct shearing-periodic conditions at the radial boundaries of a
simulation box from the conservation relations of the basic MHD equations. We
demonstrate quasi-steady mass accretion, which cannot be handled by the
standard Cartesian shearing box model, with an ideal MHD simulation in a
vertically unstratified cylindrical shearing box up to 200 rotations with (i)
net vertical magnetic flux, (ii) a locally isothermal equation of state, and
(iii) a sub-Keplerian equilibrium rotation. Inward mass accretion is induced to
balance with the outward angular momentum flux of the MHD turbulence triggered
by the magnetorotational instability in a self-consistent manner. We discuss
detailed physical properties of the saturated magnetic field, in comparison to
the results of a Cartesian shearing box simulation.
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