Linear coupling of modes in two-dimensional radially stratified astrophysical discs

被引：12
作者：
Tevzadze, A. G. [1 ]
Chagelishvili, G. D. [1 ,2 ]
Bodo, G. [3 ]
Rossi, P. [3 ]
机构：
[1] Chavchavadze State Univ, Georgian Natl Astrophys Observ, Tbilisi, Georgia
[2] Georgian Acad Sci, Nodia Inst Geophys, GE-380060 Tbilisi, Georgia
[3] Osserv Astron Torino, INAF, I-10025 Pino Torinese, Italy
来源：
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY | 2010年 / 401卷 / 02期
关键词：
accretion; accretion discs; hydrodynamics; instabilities; BAROCLINIC VORTICITY PRODUCTION; ROSSBY-WAVE INSTABILITY; SPIRAL DENSITY WAVES; PROTOPLANETARY DISKS; ACCRETION DISKS; TURBULENT FLUCTUATIONS; HYDRODYNAMIC STABILITY; TRANSIENT GROWTH; VORTEX; THIN;
D O I：
10.1111/j.1365-2966.2009.15723.x
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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.
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页码：901 / 912
页数：12
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