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Fig. 8


Sod shock tube experiment with zero initial CR pressure and γCR = 4∕3 with obliquity-dependent CR acceleration efficiency (θB is the so-called obliquity: angle of the pre-shock B field with the normal to the shock) η0 = 0.5ζ(θB) for θB = 30, 45, 60° from topto bottom. The panels show the pressures (black: total, blue: thermal, red: CR) at t = 0.35 over a zoomed-in region over the shock and contact discontinuities for better clarity of the CR shock-accelerated region. The symbols stand for the numerical solution, while the solid lines are for the analytical solution. As expected, the amount of CRs produced at the shock decreases with obliquity, and reproduces well the exact solution.

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