Hydrodynamics of accretion discs of variable thickness

Details Hydrodynamics of accretion discs of variable thickness Hydrodynamics of accretion discs of variable thickness

Apr 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999mnras.304..674s&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 304, Issue 3, pp. 674-686.

Astronomy and Astrophysics

Astronomy

10

Accretion, Accretion Discs, Hydrodynamics, Waves

Scientific paper

We present a new model for the hydrodynamics of thin accretion discs. In the (r, phi ) plane full hydrodynamics is taken into account, while the time evolution of the disc thickness H is followed by assuming uniform expansion and contraction in the vertical direction. This amounts to a `one-zone' approximation for the vertical equation of motion. We show that the model correctly incorporates the fundamental mode of vertical oscillation of a disc for waves long compared with the disc thickness. A numerical scheme to solve these equations on an Eulerian grid is introduced and tested for validity. As an application we compute the excitation of disc thickness oscillations by the tidal field of a companion. Strong excitation occurs at the 2{:}1 resonance, at r ~= 0.32 a, where a is the binary separation.

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