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A Magnetohydrodynamic Relaxation Method for Non-Force-Free Magnetic Field in Magnetohydrostatic Equilibrium
Takahiro Miyoshi, Kanya Kusano, Satoshi Inoue
A nonlinear force-free field (NLFFF) extrapolation is widely used to reconstruct the three-dimensional magnetic field in the solar corona from the observed photospheric magnetic fi…
A high-order weighted finite difference scheme with a multi-state approximate Riemann solver for divergence-free magnetohydrodynamic simulations
Takashi Minoshima, Takahiro Miyoshi, Yosuke Matsumoto
We design a conservative finite difference scheme for ideal magnetohydrodynamic simulations that attains high-order accuracy, shock-capturing, and divergence-free condition of the…
A new HLLD Riemann solver with Boris correction for reducing Alfvén speed
Tomoaki Matsumoto, Takahiro Miyoshi, Shinsuke Takasao
A new Riemann solver is presented for the ideal magnetohydrodynamics (MHD) equations with the so-called Boris correction. The Boris correction is applied to reduce wave speeds, avo…