3 papers
physics.flu-dyn2025
Energy-conserving finite difference scheme for compressible magnetohydrodynamic flow at low Mach numbers using nonconservative Lorentz force
Hideki Yanaoka
In magnetohydrodynamic (MHD) flows, incompressibility is assumed for low Mach numbers. However, even at low Mach numbers, the Mach number influences flow and magnetic fields. There…
physics.flu-dyn2025
A numerical method for low Mach number compressible flows by simultaneous relaxation of dependent variables
Hideki Yanaoka, Yuji Sato
Density varies spatiotemporally in low Mach number flows. Hence, incompressibility cannot be assumed, and the density must be accurately solved. Various methods have been proposed…
physics.flu-dyn2024
Numerical method for the magnetic vector potential in incompressible magnetohydrodynamic flows and the conservation properties of magnetic helicity
Hideki Yanaoka
Analyzing magnetohydrodynamic (MHD) flows requires accurate predictions of the Lorentz force and energy conversion. Total energy, cross-helicity, and magnetic helicity can be used…