Changes between Version 4 and Version 5 of AstroBearProjects/resistiveMHD
- Timestamp:
- 08/08/11 14:31:16 (13 years ago)
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AstroBearProjects/resistiveMHD
v4 v5 1 = ====================== = 1 2 = Resistivity in AstroBEAR = 3 = ====================== = 2 4 3 5 The resistive equation can be written as:[[BR]] … … 33 35 34 36 The first term on the right hand side is zero but the second term is not, especially at sharp temperature fronts where grad(T) is large.[[BR]] 35 So this approximation only works under '''slowly varying temperature''' situation.[[BR]] 37 So this approximation only works under '''slowly varying temperature''' situation.[[BR]][[BR]][[BR]] 36 38 39 40 = ======================================= = 37 41 = The 2.5-D Magnetized Cloud with Resistivity = 42 = ======================================= = 43 38 44 39 45 The 2.5-D magnetized cloud with resistivity is explored with the following simple configuration:[[BR]] … … 75 81 Another assumption one can make is that by looking at the velocity plot, we may think that rotation may happen due to the Lorentz force at the edge of the field front where the field is pointing at z direction and the speed is radial. The initial setup is not force-free so at the edge of the field front, the Lorentz force which is pointing on the azimuthal direction may not be negligible. So the real inflow might have a shape of spiral inward to the center of the cavity instead of straight fall-in. However the tangential velocity is small so the vector plot on figure 1 row 4 looks like mostly radial. [[BR]] 76 82 77 In the next section we examine a more complicated scenario: the force-free configuration. 83 In the next section we examine a more complicated scenario: the force-free configuration.[[BR]][[BR]][[BR]] 78 84 79 85 = =================================== = 80 86 = The Force Free Field Subject to Resistivity = 87 = =================================== = 81 88 82 89 We still use the 2.5-D model for the force-free field, where the field has a B_z, B_phi component that only depends on Bessel functions of r. The following vector graph shows how the field looks like initially.[[BR]]
