Linear coupling of modes in two-dimensional radially stratified astrophysical discs
We investigate mode coupling in a two-dimensional compressible disc with radial stratification and differential rotation. We employ the global radial scaling of linear perturbations and study the linear modes in the local shearing-sheet approximation. We employ a three-mode formalism and study the v...
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| Veröffentlicht in: | Monthly notices of the Royal Astronomical Society 2010-01, Vol.401 (2), p.901-912 |
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| container_title | Monthly notices of the Royal Astronomical Society |
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| creator | Tevzadze, A. G. Chagelishvili, G. D. Bodo, G. Rossi, P. |
| description | We investigate mode coupling in a two-dimensional compressible disc with radial stratification and differential rotation. We employ the global radial scaling of linear perturbations and study the linear modes in the local shearing-sheet approximation. We employ a three-mode formalism and study the vorticity (W), entropy (S) and compressional (P) modes and their coupling properties. The system exhibits asymmetric three-mode coupling: this includes mutual coupling of S and P modes, S and W modes, and asymmetric coupling between the W and P modes. P-mode perturbations are able to generate potential vorticity through indirect three-mode coupling. This process indicates that compressional perturbations can lead to the development of vortical structures and influence the dynamics of radially stratified hydrodynamic accretion and protoplanetary discs. |
| doi_str_mv | 10.1111/j.1365-2966.2009.15723.x |
| format | Article |
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| language | eng |
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| source | Wiley Journals; Oxford Journals Open Access Collection |
| subjects | accretion accretion discs Accretion disks accretion, accretion discs Astronomy Astrophysics Earth, ocean, space Exact sciences and technology Fluid mechanics hydrodynamics instabilities |
| title | Linear coupling of modes in two-dimensional radially stratified astrophysical discs |
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