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Ryu, Dongsu
Astrophysics Lab
Research Interests
  • Shock waves and turbulence in clusters of galaxies
  • Origin and evolution of magnetic fields and cosmic rays in the universe
  • Plasma astrophysical phenomena in the large-scale structure of the universe

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A MULTI-DIMENSIONAL MAGNETOHYDRODYNAMIC CODE IN CYLINDRICAL GEOMETRY

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Title
A MULTI-DIMENSIONAL MAGNETOHYDRODYNAMIC CODE IN CYLINDRICAL GEOMETRY
Author
Ryu, DongsuYun, Hong-SikChoe, Seung-Urn
Keywords
hydromagnetics; magnetohydrodynamics: MHD; methods: numerical; shock waves
Issue Date
1995-10
Publisher
KOREAN ASTRONOMICAL SOCIETY
Citation
JOURNAL OF THE KOREAN ASTRONOMICAL SOCIETY, v.28, no.2, pp.223 - 243
Abstract
We describe the implementation of a multi-dimensional numerical code to solve the equations for idea! magnetohydrodynamics (MHD) in cylindrical geometry. It is based on an explicit finite difference scheme on an Eulerian grid, called the Total Variation Diminishing (TVD) scheme, which is a second-order-accurate extension of the Roe-type upwind scheme. Multiple spatial dimensions are treated through a Strang-type operator splitting. Curvature and source terms are included in a way to insure the formal accuracy of the code to be second order. The constraint of a divergence-free magnetic field is enforced exactly by adding a correction, which involves solving a Poisson equation. The Fourier Analysis and Cyclic Reduction (FACR) method is employed to solve it. Results from a set of tests show that the code handles flows in cylindrical geometry successfully and resolves strong shocks within two to four computational cells. The advantages and limitations of the code are discussed.
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ISSN
1225-4614
Appears in Collections:
PHY_Journal Papers
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CMHHBA_1995_v28n2_223.pdf Download

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