Linear coupling of modes in 2D radially stratified astrophysical discs
arXiv:0909.2844 · doi:10.1111/j.1365-2966.2009.15723.x
Abstract
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: these include 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.
10 pages, 10 figures, MNRAS (accepted)
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- Transient dynamics of perturbations in astrophysical disks
- Mechanism for flow generation/acceleration in dense degenerate stellar atmospheres
- Transient growth of perturbations on scales beyond the accretion disc thickness
- Excitation of spiral density waves by convection in accretion discs
- An optimal transient growth of small perturbations in thin gaseous discs
- Visco-rotational shear instability of Keplerian granular flows