110 citations · 161 across the 6 of their papers we have counts for
6 papers
A mass-energy-conserving discontinuous Galerkin scheme for the isotropic multispecies Rosenbluth--Fokker--Planck equation
Takashi Shiroto, Akinobu Matsuyama, Nobuyuki Aiba +1
Structure-preserving discretization of the Rosenbluth-Fokker-Planck equation is still an open question especially for unlike-particle collision. In this paper, a mass-energy-conser…
Eigenstructure-preserving scheme for a hyperbolic system
Takashi Shiroto, Akinobu Matsuyama, Nobuyuki Aiba
A hyperbolic system must have a set of linearly independent eigenvectors and corresponding real eigenvalues. In numerical simulations, however, the eigenvalues can be complex becau…
Structure-preserving strategy for conservative simulation of relativistic nonlinear Landau--Fokker--Planck equation
Takashi Shiroto, Yasuhiko Sentoku
Mathematical symmetries of the Beliaev--Budker kernel are the most important structure of the relativistic Landau--Fokker--Planck equation. By preserving the beautiful symmetries,…
Quadratic conservative scheme for relativistic Vlasov--Maxwell system
Takashi Shiroto, Naofumi Ohnishi, Yasuhiko Sentoku
For more than half a century, most of the plasma scientists have encountered a violation of the conservation laws of charge, momentum, and energy whenever they have numerically sol…
Magnetized Fast Isochoric Laser Heating for Efficient Creation of Ultra-High-Energy-Density States
Shohei Sakata, Seungho Lee, Tomoyuki Johzaki +36
The quest for the inertial confinement fusion (ICF) ignition is a grand challenge, as exemplified by extraordinary large laser facilities. Fast isochoric heating of a pre-compresse…
Structure-preserving operators for thermal-nonequilibrium hydrodynamics
Takashi Shiroto, Soshi Kawai, Naofumi Ohnishi
Radiation hydrodynamics simulations based on the one-fluid two-temperature model may violate the law of energy conservation because the governing equations are expressed in a nonco…