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Numerical simulation of fundamental trapped sausage modes

2011/01/19 by M. Cécere, A. Costa, Cécere, M. +4
Physics and Astronomy · #FOS: Physical sciences #Plasma Physics (physics.plasm-ph) #Solar and Space Plasma Dynamics #Solar and Stellar Astrophysics (astro-ph.SR) #astro-ph.SR #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.1101.3782

7 pages, 13 figures, 5 tables. Submitted to Astronomy and Astrophysics (2011)

arxiv created 2011/01/19 · openalex publication_date 2011/01/19 · arxiv updated 2011/01/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Context: We integrate the 2D MHD ideal equations of a straight slab to simulate observational results associated with fundamental sausage trapped modes. Aims: Starting from a non-equilibrium state with a dense chromospheric layer, we analyse the evolution of the internal plasma dynamics of magnetic loops, subject to line-tying boundary conditions, and with the coronal parameters described in Asai et al. (2001) and Melnikov et al. (2002) to investigate the onset and damping of sausage modes. Methods: To integrate the equations we used a high resolution shock-capturing (HRSC) method specially designed to deal appropriately with flow discontinuities. Results: Due to non-linearities and inhomogeneities, pure modes are difficult to sustain and always occur coupled among them so as to satisfy, e.g., the line-tying constraint. We found that, in one case, the resonant coupling of the sausage fundamental mode with a slow one results in a non-dissipative damping of the former. Conclusions: In scenarios of thick and dense loops, where the analytical theory predicts the existence of fundamental trapped sausage modes, the coupling of fast and slow quasi-periodic modes -with a node at the center of the longitudinal speed- occur contributing to the damping of the fast mode. If a discontinuity in the total pressure between the loop and the corona is assumed, a fundamental fast sausage transitory leaky regime is spontaneously produced and an external compressional Alfvén wave takes away the magnetic energy.

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