Changes between Version 19 and Version 20 of AstroBearProjects/resistiveMHD


Ignore:
Timestamp:
10/04/11 00:37:49 (13 years ago)
Author:
Shule Li
Comment:

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  • AstroBearProjects/resistiveMHD

    v19 v20  
    282282The domain is set to be -6.4 < x < 6.4 and -12.8< y < 12.8, with fixed resolution 480 * 960. The boundaries are all open.[[BR]]
    283283The initial state is in pressure equilibrium though unstable. We put in a perturbation: [[BR]][[BR]]
    284 [[latex($\B_x = B_p sin(kx)cos(ky)$)]][[BR]]
    285 [[latex($\B_y = -B_p cos(kx)sin(ky)$)]][[BR]][[BR]]
     284[[latex($B_x = B_p sin(kx)cos(ky)$)]][[BR]]
     285[[latex($B_y = -B_p cos(kx)sin(ky)$)]][[BR]][[BR]]
    286286where [[latex($\B_p$)]] is the perturbation amplitude and [[latex($k = 2\pi/L_y$)]].
    287287The magnetic field and the density profiles are plotted below:[[BR]][[BR]]
    288 
     288[[Image(http://www.pas.rochester.edu/~shuleli/hhc_plot.png, 50%)]][[BR]][[BR]]
    289289The magnetic energy is diminished at the X point which will convert to bulk ram pressure that drives the y direction outflow around the x = 0 line. [[BR]]
    290 For the outflow pattern, the leading edge is bounded by intermediate shocks and the trailing edge is bounded by slow shocks. There are totally four slow mode shocks stemming from the Sweet-Parker region, as shown in the following figure.[[BR]][[BR]]
    291 
    292 The time evolution model can be given by the Semenov solution.[[BR]]
    293 
    294 
     290For the outflow pattern, the leading edge is bounded by intermediate shocks and the trailing edge is bounded by slow shocks(Petschek-type). There are totally four slow mode shocks stemming from the Sweet-Parker region, as shown in the following figure.[[BR]][[BR]]
     291[[Image(http://www.pas.rochester.edu/~shuleli/petschek_diagram.png, 50%)]][[BR]][[BR]]
     292The time evolution model can be given by the Semenov solution, which is obtained by assuming a large resistivity box at the stagnation point. See the following figure.[[BR]][[BR]]
     293[[Image(http://www.pas.rochester.edu/~shuleli/semenov_evolution.png, 50%)]][[BR]][[BR]]
     294The flow pattern for our setup is shown in the following plot:[[BR]][[BR]]
     295[[Image(http://www.pas.rochester.edu/~shuleli/hhc_flowpattern.png, 50%)]][[BR]][[BR]]
     296The 2-D mach number plot is shown below:[[BR]][[BR]]
     297[[Image(http://www.pas.rochester.edu/~shuleli/hhc_mach.png, 50%)]][[BR]][[BR]]
    295298
    296299Other possible tests:[[BR]]