An orbit-averaged DARWIN quasi-neutral hybrid code

Statistics – Computation

Scientific paper

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Computational Astrophysics, Cosmic Rays, Particle Acceleration, Shock Wave Propagation, Supernova Remnants, Hydrodynamic Equations, Linear Equations, Magnetohydrodynamic Waves, Numerical Stability, Orbits

Scientific paper

The in situ acceleration of cosmic rays by SNR shock waves is presently studied in light of an orbit-averaged Darwin quasi-neutral hybrid code whose algorithm is well suited to follow the slow growth of Alfven waves driven by resonances with rapidly gyrating cosmic rays. Attention is given to the results of stability and noise analyses for the algorithm. It is noted that, although the code is numerically unstable, a single e-folding may entail as many as 100,000 time-steps. A physical instability demonstrating the successful use of this algorithm is analyzed.

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