Vortex-like solutions and internal structures of covariant ideal magnetohydrodynamics

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

Canonical Description of Ideal Magnetohydrodynamics and Integrals of Motion

In the framework of the variational principle there are introduced canonical variables describing magnetohydrodynamic (MHD) flows of general type without any restrictions for invariants of the motion. It is shown that the velocity representation of the Clebsch type introduced by means of the variational principle with constraints is equivalent to the representation following from the generaliza...

Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics

ity a nonlocal potential which could fit neutron elastic scattering data in the energy range from 0.4 to 24 MeV and where the optical-model parameters were energy independent. This is, of course, a remarkable result since we know that the absorption, for instance, is changing quite dramatically by going from 0.4 to 24 MeV incident projectile energy. We believe that these findings of Perey and B...