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Fig. 8.

image

TM growth rates and resistive layer size for different numerical schemes. Left: growth of the (2D) TM instability for different treatments of the parallel current and a fixed number of points per current sheet width p = 6. We display our standard method for treating J|| (i.e., with a fourth-order accurate discretization of the derivatives, solid lines), extreme cases in which J|| = 0 (dotted lines, following Yu 2011), and the case in which the algebraic condition D ⋅ B = 0 is not enforced (dashed lines). Different colors correspond to distinct reconstructions (see legends). In the case of no enforcement of the D ⋅ B = 0, the results are indistinguishable for the three MP reconstructions. Right: size of the resistive layer LR normalized to the grid spacing Δz in the direction perpendicular to the current sheet for all the reconstruction methods (see legends) and models (A, circles and B, squares).

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