Reflection of a point disturbance from a conducting wall in twodimensional magnetohydrodynamics
Abstract
In order to study the effects of tied magnetic lines in ideal magnetohydrodynamics, the simple problem is treated of the reflection of an initial point disturbance, i.e. delta function from a conducting wall in twodimensional magnetohydrodynamics linearized about a constant state. The lowest order magnetic field is taken normal to the conducting wall. The conducting wall is the line x = 0 and the initial disturbance is at x = x sub o, Y = 0. The solution separates into three parts, the ordinary wave generated by a point disturbance at x = x sub o, y = 0, a reflected wave centered at the image point c = x sub o, y = 0, and a third uncentered wave. The first reflected wave contains a disturbance similar to the ordinary wave and a centered simple wave. The uncentered wave and its nonselfsimilar wave fronts are described. The presence of lacunae, line singularities, and the nature of the singularities at the wave fronts are discussed.
 Publication:

Interim Report New York Univ
 Pub Date:
 June 1975
 Bibcode:
 1975nyu..rept.....W
 Keywords:

 Magnetohydrodynamics;
 Plasmas (Physics);
 Wave Propagation;
 Fourier Transformation;
 Green'S Functions;
 Plasma Physics