Energy dissipation in astrophysical simulations: results of the Orszag-Tang test problem

@inproceedings{77838,
   author = {Kayanikhoo, Fatemeh and Čemeljić, Miljenko and Wielgus, Maciek and Kluźniak, Włodek},
   address = {Opava},
   booktitle = {Proceedings of RAGtime 23-25: Workshops on black holes and neutron stars},
   keywords = {magnetic energy dissipation; Magnetohydrodynamics; numerical simulations; PLUTO; resistivity},
   howpublished = {tištěná verze "print"},
   language = {eng},
   location = {Opava},
   isbn = {978-80-7510-577-6},
   pages = {135-142},
   publisher = {Slezská univerzita v Opavě, Fyzikální ústav v Opavě},
   title = {Energy dissipation in astrophysical simulations: results of the Orszag-Tang test problem},
   url = {https://proceedings.physics.cz/wp-content/uploads/2023/12/23_25_14_kay.pdf},
   year = {2023}
}

TY  - JOUR
ID  - 77838
AU  - Kayanikhoo, Fatemeh - Čemeljić, Miljenko - Wielgus, Maciek - Kluźniak, Włodek
PY  - 2023
TI  - Energy dissipation in astrophysical simulations: results of the Orszag-Tang test problem
PB  - Slezská univerzita v Opavě, Fyzikální ústav v Opavě
CY  - Opava
SN  - 9788075105776
KW  - magnetic energy dissipation
KW  - Magnetohydrodynamics
KW  - numerical simulations
KW  - PLUTO
KW  - resistivity
UR  - https://proceedings.physics.cz/wp-content/uploads/2023/12/23_25_14_kay.pdf
N2  - The magnetic field through the magnetic reconnection process affects the dynamics and structure of astrophysical systems. Numerical simulations are the tools to study the evolution of these systems. However, the resolution, dimensions, resistivity, and turbulence of the system are some important parameters to take into account in the simulations. In this paper, we investigate the evolution of magnetic energy in astrophysical simulations by performing a standard test problem for MHD codes, Orszag-Tang. We estimate the numerical dissipation in the simulations using state-of-the-art numerical simulation code in astrophysics, PLUTO. The estimated numerical resistivity in 2D simulations corresponds to the Lundquist number ≈ 104 in the resolution of 512 × 512 grid cells. It is also shown that the plasmoid unstable reconnection layer can be resolved with sufficient resolutions. Our analysis demonstrates that in non-relativistic magnetohydrodynamics simulations, magnetic and kinetic energies undergo conversion into internal energy, resulting in plasma heating.
ER  - 

KAYANIKHOO, Fatemeh, Miljenko ČEMELJI$\backslash$'C, Maciek WIELGUS a Włodek KLU$\backslash$'ZNIAK. Energy dissipation in astrophysical simulations: results of the Orszag-Tang test problem. In \textit{Proceedings of RAGtime 23-25: Workshops on black holes and neutron stars}. Opava: Slezská univerzita v Opavě, Fyzikální ústav v Opavě, 2023, s.~135-142. ISBN~978-80-7510-577-6.