Analysis of Methods for Computing the Trajectories of Dust Particles in a Gas–Dust Circumstellar Disk Full article
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Astronomy Reports
ISSN: 1063-7729 , E-ISSN: 1562-6881 |
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| Output data | Year: 2017, Volume: 61, Pages: 1044-1060 Pages count : 16 DOI: 10.1134/S1063772917120071 | ||||||
| Tags | PROTOPLANETARY DISKS; GRAVITATIONAL-INSTABILITY; SEMIIMPLICIT APPROACH; SOLID PARTICLES; SOLAR NEBULA; 2-FLUID DUST; MIXTURES; HYDRODYNAMICS; SIMULATION; GROWTH | ||||||
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Abstract:
A systematic analysis of methods for computing the trajectories of solid-phase particles applied in modern astrophysics codes designed for modeling gas–dust circumstellar disks has been carried out for the first time. The motion of grains whose velocities are determined mainly by the gas drag, that is, for which the stopping time or relaxation time for the velocity of the dust to the velocity of the gas tstop is less than or comparable to the rotation period, are considered. The methods are analyzed from the point of view of their suitability for computing the motions of small bodies, including dust grains less than 1 μm in size, which are strongly coupled to the gas. Two test problems are with analytical solutions. Fast first order accurate methods that make it possible to avoid additional restrictions on the time step size τ due to gas drag in computations of the motion of grains of any size are presented. For the conditions of a circumstellar disk, the error in the velocity computations obtained when using some stable methods becomes unacceptably large when the time step size is τ > tstop. For the radial migration of bodies that exhibit drifts along nearly Keplerian orbits, an asymptotic approximation, sometimes called the short friction time approximation or drift flux model, gives a relative error for the radial-velocity computations equals to St2, where St is the Stokes number, the ratio of the stopping time of the body to some fraction of the rotation period (dynamical time scale) in the disk.
Cite:
Stoyanovskaya O.P.
, Snytnikov V.N.
, Vorobyov E.I.
Analysis of Methods for Computing the Trajectories of Dust Particles in a Gas–Dust Circumstellar Disk
Astronomy Reports. 2017.
V.61. P.1044-1060. DOI: 10.1134/S1063772917120071
WOS
Scopus
РИНЦ
AN
OpenAlex
Analysis of Methods for Computing the Trajectories of Dust Particles in a Gas–Dust Circumstellar Disk
Astronomy Reports. 2017.
V.61. P.1044-1060. DOI: 10.1134/S1063772917120071
WOS
Scopus
РИНЦ
AN
OpenAlex
Original:
Стояновская О.П.
, Снытников В.Н.
, Воробьев Э.И.
Анализ методов расчета траекторий пылевых частиц в газопылевом околозвездном диске
Астрономический журнал. 2017. Т.94. №12. С.1033-1049. DOI: 10.7868/S0004629917120088 РИНЦ OpenAlex
Анализ методов расчета траекторий пылевых частиц в газопылевом околозвездном диске
Астрономический журнал. 2017. Т.94. №12. С.1033-1049. DOI: 10.7868/S0004629917120088 РИНЦ OpenAlex
Files:
Full text from publisher
Dates:
| Submitted: | Mar 7, 2017 |
| Accepted: | Jun 28, 2017 |
| Published print: | Dec 1, 2017 |
| Published online: | Feb 2, 2018 |
Identifiers:
| Web of science: | WOS:000424028800005 |
| Scopus: | 2-s2.0-85041701396 |
| Elibrary: | 35524713 |
| Chemical Abstracts: | 2019:1694936 |
| OpenAlex: | W3104858603 |