Hydrodynamical Aspects of the Formation of Spiral–Vortical Structures in Rotating Gaseous Disks


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This paper is dedicated to numerical simulations of spiral–vortical structures in rotating gaseous disks using a simple model based on two-dimensional, non-stationary, barotropic Euler equations with a body force. The results suggest the possibility of a purely hydrodynamical basis for the formation and evolution of such structures. New, axially symmetric, stationary solutions of these equations are derived that modify known approximate solutions. These solutions with added small perturbations are used as initial data in the non-stationary problem, whose solution demonstrates the formation of density arms with bifurcation. The associated redistribution of angular momentum is analyzed. The correctness of laboratory experiments using shallow water to describe the formation of large-scale vortical structures in thin gaseous disks is confirmed. The computations are based on a special quasi-gas-dynamical regularization of the Euler equations in polar coordinates.

作者简介

T. Elizarova

Keldysh Institute of Applied Mathematics

编辑信件的主要联系方式.
Email: telizar@mail.ru
俄罗斯联邦, Moscow, 125047

A. Zlotnik

National Research University Higher School of Economics

Email: telizar@mail.ru
俄罗斯联邦, Moscow, 101000

M. Istomina

Keldysh Institute of Applied Mathematics

Email: telizar@mail.ru
俄罗斯联邦, Moscow, 125047

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