On a Godunov-Type Numerical Scheme for Describing Gas and Dust Components in Star Formation Problems

Autor(en)
I. M. Kulikov, I. G. Chernykh, A. F. Sapetina, E. I. Vorobyov, V. G. Elbakyan
Abstrakt

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(en)
Institut für Astrophysik
Externe Organisation(en)
Siberian Branch of the Russian Academy of Sciences, Southern Federal University
Journal
Journal of Applied and Industrial Mathematics
Band
17
Seiten
110-119
Anzahl der Seiten
10
ISSN
1990-4789
DOI
https://doi.org/10.1134/S199047892301012X
Publikationsdatum
03-2023
Peer-reviewed
Ja
ÖFOS 2012
103004 Astrophysik, 103043 Computational Physics
Schlagwörter
ASJC Scopus Sachgebiete
Industrial and Manufacturing Engineering, Applied Mathematics
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/46a2b962-94ee-48b9-8b01-36bc94671baf