Magnetohydrodynamic shock refraction at an inclined density interface

Shock wave refraction at a sharp density interface is classical problem in hydrodynamics. Presently, we investigate the strongly planar of magnetohydrodynamic (MHD) shock an inclined interface. A magnetic field applied that initially oriented either perpendicular or parallel to motion incident shock. We explore flow structure by varying magnitude governed non-dimensional parameter [Formula: see text] and inclination angle text]. The regular MHD process results pair outer fast shocks (reflected transmitted) set inner nonlinear magneto-sonic waves. By (strength direction) angle, latter waves can be slow shocks, expansion fans, intermediate slow-mode compound For chosen strength ratio, transitions from (all meeting single point) into irregular when less than critical value. Irregular patterns are not amenable analytical solution, hence, have obtained solutions numerical simulations. Since self-similar, further converting initial value boundary (BVP) self-similar coordinate transformation. solution BVP numerically solved using iterative method implemented p4est adaptive mesh framework. simulation shows Mach stem occurs refraction, equivalent reflection convex-forwards occur hydrodynamic case. number M = 2, both show magnetics fields suppress transition compared corresponding As decreased, it possible strong promote transition, while moderate this