Relaxed magnetohydrodynamics with ideal Ohm's law constraint

Multi-region relaxed magnetohydrodynamics with anisotropy and flow

Two - wave interaction in ideal magnetohydrodynamics

The weakly nonlinear interaction of sound and linearly polarised Alfvén waves propagating in the same direction along an applied magnetic field is studied. It is found that a sound wave is coupled to the Alfvén wave with double period and wavelength when the sound and Alfvén speeds are equal. The Alfvén wave drives the sound wave through the ponderomotive force, while the sound wave returns ene...

A Solution-Adaptive Upwind Schemefor Ideal Magnetohydrodynamics

A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics Kenneth G. Powell,∗ Philip L. Roe,∗ Timur J. Linde,∗ Tamas I. Gombosi,† and Darren L. De Zeeuw† ∗W. M. Keck Foundation CFD Laboratory, Department of Aerospace Engineering, University of Michigan, Ann Arbor, Michigan 48109-2140; and †Space Physics Research Laboratory, Department of Atmospheric, Oceanic and Space Sciences, Universit...

Converging cylindrical shocks in ideal magnetohydrodynamics

Constraint in Shock - Capturing Magnetohydrodynamics Codes

Submitted to the Journal of Computational Physics Seven schemes to maintain the r B = 0 constraint numerically are compared. All these algorithms can be combined with shock-capturing Godunov type base schemes. They fall into three categories: the eight-wave formulation maintains the constraint to truncation error, the projection scheme enforces the constraint in some discretization by projectin...