Magnetohydrodynamic simulation code CANS+: Assessments and applications

Yosuke Matsumoto, Yuta Asahina, Yuki Kudoh, Tomohisa Kawashima, Jin Matsumoto, Hiroyuki R. Takahashi, Takashi Minoshima, Seiji Zenitani, Takahiro Miyoshi, Ryoji Matsumoto

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We present a new magnetohydrodynamic (MHD) simulation package with the aim of providing accurate numerical solutions to astrophysical phenomena where discontinuities, shock waves, and turbulence are inherently important. The code implements the Harten-Lax-van Leer-discontinuitues (HLLD) approximate Riemann solver, the fifth-order-monotonicity-preserving interpolation (MP5) scheme, and the hyperbolic divergence cleaning method for a magnetic field. This choice of schemes has significantly improved numerical accuracy and stability, and saved computational costs in multidimensional problems. Numerical tests of one- and two-dimensional problems show the advantages of using the high-order scheme by comparing with results from a standard second-order total variation diminishing monotonic upwind scheme for conservation laws (MUSCL) scheme. The present code enables us to explore the long-term evolution of a three-dimensional accretion disk around a black hole, in which compressible MHD turbulence causes continuous mass accretion via nonlinear growth of the magneto-rotational instability (MRI). Numerical tests with various computational cell sizes exhibits a convergent picture of the early nonlinear growth of the MRI in a global model, and indicates that the MP5 scheme has more than twice the resolution of the MUSCL scheme in practical applications.

Original languageEnglish
Article number83
JournalPublications of the Astronomical Society of Japan
Volume71
Issue number4
DOIs
Publication statusPublished - 2019 Aug 1
Externally publishedYes

Keywords

  • magnetohydrodynamics (MHD)
  • methods: numerical
  • shock waves
  • turbulence

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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