The HLLD approximate riemann solver for magnetospheric simulation

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

doi:10.1109/TPS.2010.2057451

The HLLD approximate riemann solver for magnetospheric simulation

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

SCI - Geophysics

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

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 language	English
Article number	5530408
Pages (from-to)	2236-2242
Number of pages	7
Journal	IEEE Transactions on Plasma Science
Volume	38
Issue number	9 PART 1
DOIs	https://doi.org/10.1109/TPS.2010.2057451
Publication status	Published - 2010 Sept

Keywords

Magnetohydrodynamics (MHD)
magnetosphere
numerical scheme
simulation
space plasma

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10.1109/TPS.2010.2057451

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abstract = "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.",

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AU - Miyoshi, Takahiro

AU - Terada, Naoki

AU - Matsumoto, Yosuke

AU - Fukazawa, Keiichiro

AU - Umeda, Takayuki

AU - Kusano, Kanya

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KW - Magnetohydrodynamics (MHD)

KW - magnetosphere

KW - numerical scheme

KW - simulation

KW - space plasma

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The HLLD approximate riemann solver for magnetospheric simulation

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