Two-Fluid Dusty Gas in Smoothed Particle Hydrodynamics: Fast and Implicit Algorithm for Stiff Linear Drag | Sciact - CRIS-система Института катализа

Two-Fluid Dusty Gas in Smoothed Particle Hydrodynamics: Fast and Implicit Algorithm for Stiff Linear Drag Научная публикация

Журнал

Astronomy and Computing
ISSN: 2213-1337

Вых. Данные

Год: 2018, Том: 25, Страницы: 25-37 Страниц : 13 DOI: 10.1016/j.ascom.2018.08.004

Ключевые слова

Protoplanetary discs; Hydrodynamics; Epstein drag simulation

Авторы

Stoyanovskaya O.P. ^1,2,3 , Glushko T.A. ^1,3 , Snytnikov N.V. ⁴ , Snytnikov V.N. ^1,3

Организации

1	Boreskov Institute of Catalysis, Lavrentieva, 5, 630090, Novosibirsk, Russia
2	Institute of Computational Technologies, Lavrentieva, 6, Novosibirsk, 630090, Russia
3	Novosibirsk State University, Pirogova, 2 Novosibirsk, 630090, Russia
4	Institute of Computational Mathematics and Mathematical Geophysics, Lavrentieva, 6, Novosibirsk, 630090, Russia

Информация о финансировании (1)

Министерство науки и высшего образования Российской Федерации (с 15 мая 2018)

ГЗ-2017-2020

Simulation of the dynamics of dust–gas circumstellar discs is crucial in understanding the mechanisms ofplanet formation. The dynamics of small grains in the disc is stiffly coupled to the gas, while the dynamicsof grown solids is decoupled. Moreover, in some parts of the disc the concentration of the dust is low(dust to gas mass ratio is about 0.01), while in other parts it can be much higher. These factors placehigh requirements on the numerical methods for disc simulations. In particular, when gas and dust aresimulated with two different fluids, explicit methods require very small timestep (must be less than duststopping time tstopduring which the velocity of a solid particle is equalized with respect to the gas velocity)to obtain solution, while some implicit methods require high temporal resolution to obtain acceptableaccuracy. Moreover, recent studies underlined that for Smoothed particle hydrodynamics (SPH) whenthe gas and the dust are simulated with different sets of particles only high spatial resolution h < cststopguarantees suppression of numerical overdissipation due to gas and dust interaction.To address these problems, we developed a fast algorithm based on the ideas of (1) implicit integrationof linear (Epstein) drag and (2) exact conservation of local linear momentum. We derived formulas formonodisperse dust–gas in two-fluid SPH and tested the new method on problems with known analyticalsolutions. We found that our method is a promising alternative for the previously developed two-fluidSPH scheme in case of stiff linear drag thanks to the fact that spatial resolution condition h < cststopis notrequired anymore for accurate results.

Stoyanovskaya O.P. , Glushko T.A. , Snytnikov N.V. , Snytnikov V.N.
Two-Fluid Dusty Gas in Smoothed Particle Hydrodynamics: Fast and Implicit Algorithm for Stiff Linear Drag

Astronomy and Computing. 2018. V.25. P.25-37. DOI: 10.1016/j.ascom.2018.08.004 WOS Scopus РИНЦ OpenAlex

Полный текст от издателя

Поступила в редакцию:	31 мая 2018 г.
Принята к публикации:	13 авг. 2018 г.
Опубликована online:	29 авг. 2018 г.
Опубликована в печати:	1 окт. 2018 г.

Web of science:	WOS:000451390700003
Scopus:	2-s2.0-85053066025
РИНЦ:	35726002
OpenAlex:	W3106448031

БД	Цитирований
Scopus	24
РИНЦ	29
Web of science	20
OpenAlex	24