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Table A.1:

Summary of models computed to compare numerical growth rates with theoretical predictions.

Name
lx ly $m_x \times m_y$ P0 U0 $\mathsf{M}$ a $\vec b_0$ kx $\Gamma_{\rm MP}$ $\Gamma_{\rm num}$
grw-1 1 2 $ 50 \times 100$ 1 1.29 1 0.05 (0,0,0) $2\pi$ 1.73 1.64
grw-2 1 2 $100 \times 200$ 1 1.29 1 0.05 (0,0,0) $2\pi$ 1.73 1.74
grw-3 1 2 $200 \times 400$ 1 1.29 1 0.05 (0,0,0) $2\pi$ 1.73 1.75
grw-4 1 2 $400 \times 800$ 1 1.29 1 0.05 (0,0,0) $2\pi$ 1.73 1.75
grw-5 1 2 $200 \times 400$ 1 1.29 1 0.025 (0,0,0) $2\pi$ 2.4 2.44
grw-6 1 2 $200 \times 400$ 1 1.29 1 0.1 (0,0,0) $2\pi$ 0.66 0.68
grw-7 1 2 $200 \times 400$ 1 0.645 0.5 0.05 (0,0,0) $2\pi$ 1.09 1.07
grw-8 1 2 $200 \times 400$ 1 1.843 10/7 0.05 (0,0,0) $2\pi$ 1.77 1.79
grw-9 1 2 $200 \times 400$ 1 0.645 0.5 0.05 (0,0,0) $4\pi$ 1.36 1.35
grw-10 1 2 $200 \times 400$ 1 1.29 1 0.05 (0.129,0,0) $2\pi$ 1.69 1.70
grw-11 1 2 $200 \times 400$ 1 1.29 1 0.05 (0.258,0,0) $2\pi$ 1.56 1.54

Notes. The columns give the model name, the size of the domain (lx, ly), the initial pressure, P0, the velocity shear, U0, the corresponding Mach number $\mathsf{M}= U_0 / c_{\rm s}$, the initial magnetic field $\vec b_0$, the initial width of the shear flow, a, the corresponding wave number, kx, the growth rate, $\Gamma_{\rm MP}$, obtained from Miura & Pritchett (1982), and an estimate of the numerical growth rate, $\Gamma_{\rm num}$.


Source LaTeX | All tables | In the text

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