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ZEUS-2D: A radiation magnetohydrodynamics code for astrophysical flows in two space dimensions. I - The hydrodynamic algorithms and tests. II - The magnetohydrodynamic algorithms and tests

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1992

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Hydrodynamic algorithms form the foundation for the more complex MHD and radiation HD algorithms. The paper presents a detailed description of the ZEUS‑2D code, including its hydrodynamic, magnetohydrodynamic, and radiation transfer algorithms, and introduces a new method for computing the electromotive force using the method of characteristics. ZEUS‑2D employs finite‑difference methods to solve fluid dynamics, incorporates self‑gravity via iterative solution of the Poisson equation, and uses a hybrid method of characteristics constrained transport to compute the electromotive force. Extensive hydrodynamic and magnetohydrodynamic test problems confirm that ZEUS‑2D accurately reproduces all modes of MHD wave families and validates its hydrodynamic algorithms.

Abstract

view Abstract Citations (1325) References (34) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS ZEUS-2D: A Radiation Magnetohydrodynamics Code for Astrophysical Flows in Two Space Dimensions. I. The Hydrodynamic Algorithms and Tests Stone, James M. ; Norman, Michael L. Abstract A detailed description of ZEUS-2D, a numerical code for the simulation of fluid dynamical flows including a self-consistent treatment of the effects of magnetic fields and radiation transfer is presented. Attention is given to the hydrodynamic (HD) algorithms which form the foundation for the more complex MHD and radiation HD algorithms. The effect of self-gravity on the flow dynamics is accounted for by an iterative solution of the sparse-banded matrix resulting from discretizing the Poisson equation in multidimensions. The results of an extensive series of HD test problems are presented. A detailed description of the MHD algorithms in ZEUS-2D is presented. A new method of computing the electromotive force is developed using the method of characteristics (MOC). It is demonstrated through the results of an extensive series of MHD test problems that the resulting hybrid MOC-constrained transport method provides for the accurate evolution of all modes of MHD wave families. Publication: The Astrophysical Journal Supplement Series Pub Date: June 1992 DOI: 10.1086/191680 Bibcode: 1992ApJS...80..753S Keywords: Computational Astrophysics; Cosmic Plasma; Hydrodynamic Equations; Magnetohydrodynamic Flow; Self Consistent Fields; Computational Grids; Finite Difference Theory; Plasma Radiation; Poisson Equation; Radiative Transfer; Astrophysics; HYDRODYNAMICS; MAGNETOHYDRODYNAMICS: MHD; METHODS: NUMERICAL; RADIATIVE TRANSFER full text sources ADS | Related Materials (3) Described in: 1992ApJS...80..791S Described in: 1992ApJS...80..819S Source Software: 2013ascl.soft06014S