Changes between Version 6 and Version 7 of u/erica/MHDshocksReorientation


Ignore:
Timestamp:
03/09/16 15:06:24 (9 years ago)
Author:
Erica Kaminski
Comment:

Legend:

Unmodified
Added
Removed
Modified
  • u/erica/MHDshocksReorientation

    v6 v7  
    33Here is density psuedo with velocity vectors and magnetic field streamlines overlaid:
    44
    5 [[Image(2d_rho_reimann.png, 75%)]]
     5[[Image(2d_rho_reimann.png, 50%)]]
    66
    77Over the fast wave front, we see the expected bending of the velocity field away from the normal of the shock, and corresponding bending of the field lines. The color bar for the streamline plot measures strength of B, and so we see that the field increases in strength over the first jump. The density increases over this jump. Over the slow-shock jump, the field now bends ''toward'' the normal of the shock, and this is because the field is tied to the opposing flow. Over this 2nd jump, the velocity interestingly goes to zero. The density increases further. There appears to be a contact discontinuity at the center of the configuration.
     
    99To look at the jump conditions on the velocity more closely, here is a pseudo-color plot of the velocity. First is the vx velocity, then vy, and then vmag.
    1010
    11 [[Image(velocity_2d_reimann.png, 75%)]]
     11[[Image(velocity_2d_reimann.png, 50%)]]
    1212
    13 [[Image(vy.png, 40%)]]
     13[[Image(vy.png, 30%)]]
    1414
    15 [[Image(vmag.png, 40%)]]
     15[[Image(vmag.png, 30%)]]
    1616
    1717Now, the psuedo-colors plots are in the original coordinate system, whereas the vector plot has been tilted to look like the colliding flow scenario. The psuedo plots show that over the forward shock, the velocity field becomes completely parallel to the shock front (i.e. the x-component vanishes). This forces vy to go to zero over the slow shock front to maintain symmetry (the flow solutions must be rotationally-invariant).
     
    1919Now, for the finite case, we have the following density plot:
    2020
    21 [[Image(2dcf_rho.png, 50%)]]
     21[[Image(2dcf_rho.png, 60%)]]
     22
     23and velocity plot:
     24
     25[[Image(vx_2dcf.png, 60%)]]
    2226
    2327Vortices for 2D finite case, generating ram pressure that leads to stair-casing effects, the effect of kinking of the field on top and bottom on outer wave front (stalling that happens), 2 ideas for re-orientation: