On a Godunov-Type Numerical Scheme for Describing Gas and Dust Components in Star Formation Problems
- Author(s)
- I. M. Kulikov, I. G. Chernykh, A. F. Sapetina, E. I. Vorobyov, V. G. Elbakyan
- Abstract
Abstract: The paper presents one construction of a Godunov-type method based on the separationof operators describing the work of pressure forces and advective transfer. Separate considerationof advective transfer permits describing the motion of both gas and dust components within theframework of a single numerical scheme. In the case of describing gas dynamics, the work ofpressure forces is taken into account at a separate stage, independently of transfer. This permitsusing the numerical scheme in solving star formation problems, where it is necessary to jointlysolve the equations of hydrodynamics and dust motion equations. A piecewise parabolicrepresentation of physical variables in all directions is used to reduce the dissipation of thenumerical method. The numerical method has been verified on Riemann problems fora hydrodynamic and dust discontinuity, the Sedov problem of point explosion, and the problem ofdust cloud collapse, which have an analytical solution.
- Organisation(s)
- Department of Astrophysics
- External organisation(s)
- Siberian Branch of the Russian Academy of Sciences, Southern Federal University
- Journal
- Journal of Applied and Industrial Mathematics
- Volume
- 17
- Pages
- 110-119
- No. of pages
- 10
- ISSN
- 1990-4789
- DOI
- https://doi.org/10.1134/S199047892301012X
- Publication date
- 03-2023
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103004 Astrophysics, 103043 Computational physics
- Keywords
- ASJC Scopus subject areas
- Industrial and Manufacturing Engineering, Applied Mathematics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/46a2b962-94ee-48b9-8b01-36bc94671baf