The ZEUS code for astrophysical magnetohydrodynamics: New extensions and applications. We give a brief review of numerical methods implemented in the widely used ZEUS code for astrophysical magnetohydrodynamics (MHD). Extensions of the numerical methods to treat problems in nonideal MHD in a variety of regimes are discussed. In particular, we consider methods for treating Ohmic dissipation, and methods for studying partially ionized plasmas in which the ion and neutral components are weakly coupled through a collisional drag term. Finally, we describe recent application of the methods to the study of dynamics of accretion disks

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  1. Schlottke-Lakemper, Michael; Winters, Andrew R.; Ranocha, Hendrik; Gassner, Gregor J.: A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics (2021)
  2. A. Brandenburg, A. Johansen, P. A. Bourdin, W. Dobler, W. Lyra, M. Rheinhardt, S. Bingert, N. E. L. Haugen, A. Mee, F. Gent, N. Babkovskaia, C.-C. Yang, T. Heinemann, B. Dintrans, D. Mitra, S. Candelaresi, J. Warnecke, P. J. Käpylä, A. Schreiber, P. Chatterjee, M. J. Käpylä, X.-Y. Li, J. Krüger, J. R. Aarnes, G. R. Sarson, J. S. Oishi, J. Schober, R. Plasson, C. Sandin, E. Karchniwy, L. F. S. Rodrigues, A. Hubbard, G. Guerrero, A. Snodin, I. R. Losada, J. Pekkilä, C. Qian (The Pencil Code Collaboration): The Pencil Code, a modular MPI code for partial differential equations and particles: multipurpose and multiuser-maintained (2020) arXiv
  3. Brandenburg, Axel; Das, Upasana: The time step constraint in radiation hydrodynamics (2020)
  4. Cheng, Juan; Shu, Chi-Wang; Song, Peng: High order conservative Lagrangian schemes for one-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit (2020)
  5. Gent, F. A.; Mac Low, M.-M.; Käpylä, M. J.; Sarson, G. R.; Hollins, J. F.: Modelling supernova-driven turbulence (2020)
  6. Ghassemi, Pedram; Anistratov, Dmitriy Y.: An approximation method for time-dependent problems in high energy density thermal radiative transfer (2020)
  7. James M. Stone, Kengo Tomida, Christopher J. White, Kyle G. Felker: The Athena++ Adaptive Mesh Refinement Framework: Design and Magnetohydrodynamic Solvers (2020) arXiv
  8. Williams, R. J. R.: Fully-conservative contact-capturing schemes for multi-material advection (2019)
  9. Rybakin, Boris; Goryachev, Valery: Parallel algorithms for astrophysics problems (2018)
  10. Williams, R. J. R.: Sub-grid properties and artificial viscous stresses in staggered-mesh schemes (2018)
  11. Wu, Fuyuan; Ramis, Rafael; Li, Zhenghong: A conservative MHD scheme on unstructured Lagrangian grids for Z-pinch hydrodynamic simulations (2018)
  12. Xu, Xiao; Dai, Zihuan; Gao, Zhiming: A 3D cell-centered Lagrangian scheme for the ideal magnetohydrodynamics equations on unstructured meshes (2018)
  13. Matsuoka, C.; Nishihara, K.; Sano, T.: Nonlinear dynamics of non-uniform current-vortex sheets in magnetohydrodynamic flows (2017)
  14. Sijoy, C. D.; Chaturvedi, S.: Combining node-centered parallel radiation transport and higher-order multi-material cell-centered hydrodynamics methods in three-temperature radiation hydrodynamics code TRHD (2016)
  15. Xu, Zhiliang; Liu, Yingjie: New central and central discontinuous Galerkin schemes on overlapping cells of unstructured grids for solving ideal magnetohydrodynamic equations with globally divergence-free magnetic field (2016)
  16. Iwasaki, Kazunari: Minimizing dispersive errors in smoothed particle magnetohydrodynamics for strongly magnetized medium (2015)
  17. Kunz, Matthew W.; Stone, James M.; Bai, Xue-Ning: \textitPegasus: a new hybrid-kinetic particle-in-cell code for astrophysical plasma dynamics (2014)
  18. Freytag, B.; Steffen, M.; Ludwig, H.-G.; Wedemeyer-Böhm, S.; Schaffenberger, W.; Steiner, O.: Simulations of stellar convection with CO5BOLD (2012)
  19. Johnson, Bryan M.; Katz, Jonathan I.; Schilling, Oleg: A von Neumann-Smagorinsky turbulent transport model for stratified shear flows (2012)
  20. Alhussan, Khaled; Smetannikov, Andrei S.; Stankevich, Yuri A.; Stepanov, Konstantin L.; Zhdanok, Sergei A.: Computer modeling the hydrodynamics of explosion above a surface (2011)

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