Quasi-periodic oscillations of perturbed tori

摘要: We performed axisymmetric hydrodynamical simulations of oscillating tori orbiting a non-rotating black hole. The in equilibrium were constructed with constant distribution angular momentum pseudo-Newtonian potential (Klu{\'z}niak-Lee). Motions the torus triggered by adding sub-sonic velocity fields: radial, vertical and diagonal to equilibrium. As perturbed evolved time, we measured $L_{2}$ norm density obtained power spectrum which manifested eigenfrequencies modes. most prominent modes oscillation excited quasi-random perturbation are breathing mode radial epicyclic plus modes, as well will have frequencies an approximate 3:2 ratio if is several Schwarzschild radii away from innermost stable circular orbit. Results our may be interest context high-frequency quasi-periodic oscillations (HF QPOs) observed stellar-mass hole binaries, supermassive holes.