Spiral density wave generation by vortices in Keplerian flows

Abstract

We perform a detailed analytical and numerical study of the dynamics of perturbations (vortex/aperiodic mode, Rossby and spiral-density waves) in 2D compressible disks with a Keplerian law of rotation. We draw attention to the process of spiral-density wave generation from vortices, discussing, in particular, the initial, most peculiar stages of wave emission. We show that the linear phenomenon of wave generation by vortices in smooth (without inflection points) shear flows found by using the so-called non-modal approach, is directly applicable to the present case. After an analytical non-modal description of the physics and characteristics of the spiral-density wave generation/propagation in the local shearing-sheet model, we follow the process of wave generation by small amplitude coherent circular vortex structures, by direct global numerical simulation, describing the main features of the generated waves.

18 pages, 16 figures, Astronomy & Astrophysics in press

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• Revisiting linear dynamics of non-axisymmetric perturbations in weakly magnetized accretion discs
• Hydrodynamic stability and mode coupling in Keplerian flows: local strato-rotational analysis
• The Observability Of Vortex-Driven Spiral Arms In Protoplanetary Disk: Basic Spiral Properties
• Vortices in self-gravitating gaseous discs
• Transient growth and coupling of vortex and wave modes in self-gravitating gaseous discs
• Stability and nonlinear adjustment of vortices in Keplerian flows
• Planetesimal formation in self-gravitating discs -- dust trapping by vortices
• Axisymmetric modes in vertically stratified self-gravitating discs
• Linear coupling of modes in 2D radially stratified astrophysical discs
• A study of transient dynamics of perturbations in Keplerian discs using a variational approach
• Vortex survival in 3D self-gravitating accretion discs
• Transient dynamics of perturbations in astrophysical disks
• Transient growth of perturbations on scales beyond the accretion disc thickness
• Substructures in protoplanetary disks imprinted by compact planetary systems
• Excitation of spiral density waves by convection in accretion discs
• Perturbations dynamics in Keplerian flow under external stochastic forcing
• An optimal transient growth of small perturbations in thin gaseous discs
• On wave interference in planet migration: dead zone torques modified by active zone forcing