The HLLD approximate riemann solver for magnetospheric simulation

Takahiro Miyoshi, Naoki Terada, Yosuke Matsumoto, Keiichiro Fukazawa, Takayuki Umeda, Kanya Kusano

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


A magnetohydrodynamic (MHD) algorithm for global simulations of planetary magnetospheres is developed based on an approximate nonlinear Riemann solver, the so-called HartenLaxvan Leer-Discontinuities (HLLD) approximate Riemann solver. An approximate nonlinear solution of the MHD Riemann problem, in which the contributions of the background potential magnetic field are subtracted and multispecies plasmas as well as general equation of state are included, can be algebraically obtained under the assumptions that the normal velocity and the background potential magnetic field in the Riemann fan are constant. The theoretical aspects of the HLLD approximate Riemann solver are focused on, in particular.

Original languageEnglish
Article number5530408
Pages (from-to)2236-2242
Number of pages7
JournalIEEE Transactions on Plasma Science
Issue number9 PART 1
Publication statusPublished - 2010 Sept


  • Magnetohydrodynamics (MHD)
  • magnetosphere
  • numerical scheme
  • simulation
  • space plasma


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