Abstract
A method is presented for the numerical study of the temporal evolution of nonlinear periodic waves in solar coronal loops which are approximated by smoothed slabs of enhanced gas density embedded within a uniform magnetic field. This method uses a fast Fourier transform technique to calculate spatial derivatives and a modified Euler algorithm for the time scheme for solving cold magnetohydrodynamic equations that govern nonlinear perturbations. The numerical results show that nonlinearity can play a significant role, leading to wave breaking of the kink wave and slab demolition for the sausage one. The kink periodic wave adjusts better to the smoothed slab than the sausage wave.
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Aurass, H. and Mann, G.: 1987,Solar Phys. 112, 359.
Bogdan, T. J. and Lerche, I.: 1988,Quart. Appl. Math. XLVI, 365.
Cramer, N. F.: 1991,J. Plasma Phys. 46, 15.
Edwin, P. M. and Roberts, B.: 1986,Wave Motion 8, 151.
Edwin, P. M. and Roberts, B.: 1988,Astron. Astrophys. 192, 343.
Goossens, M.: 1991, in E. R. Priest and A. Hood (eds.),Advances in Solar System Magnetohydrodynamics, Cambridge University Press, Cambridge, p. 137.
Harrison, R. A.: 1987,Astron. Astrophys. 182, 337.
Hollweg, J. V.: 1990,Comp. Phys. Rep. 12, 205.
Hollweg, J. V., Jackson, S., and Galloway, D.: 1982,Solar Phys. 75, 35.
Kane, S. R., Kai, K., Kosugi, T., Enome, S., Landecker, P. B., and McKenzie, D. L.: 1983,Astrophys. J. 271, 376.
Koutchmy, S., Zhugzhda, Y. D., and Locans, V.: 1983,Astron. Astrophys. 120, 185.
Krüger, A.: 1979,Introduction to Solar Astronomy and Radio Physics, D. Reidel Publ. Co., Dordrecht, Holland.
Merzljakov, E. G. and Ruderman, M. S.: 1985,Solar Phys. 95, 51.
Merzljakov, E. G. and Ruderman, M. S.: 1986,Solar Phys. 105, 265.
Murawski, K.: 1992a,Acta Phys. Polon. 81, 335.
Murawski, K.: 1992b,Solar Phys. 139, 297.
Murawski, K. and Roberts, B.: 1993a,Solar Phys. 143, 89 (Paper I).
Murawski, K. and Roberts, B.: 1993b,Solar Phys. 144, 101 (Paper II).
Murawski, K. and Roberts, B.: 1993c,Solar Phys. in press (Paper IV).
Pasachoff, J. M.: 1990, in P. Ulmschneider and E. R. Priest (eds.),Mechanisms of Chromosphere and Coronal Heating, Springer-Verlag, Heidelberg, p. 25.
Qi-Jun, F., Yuan-Fang, G., Sheng-Zhen, J. and Ren-Yang, Z.: 1990,Solar Phys. 130, 161.
Ren-Yang, Z., Sheng-Zhen, J., Qi-Jun, F. and Xiao-Cong, L.: 1990,Solar Phys. 130, 151.
Roberts, B.: 1985,Phys. Fluids 28, 3280.
Roberts, B.: 1990, in P. Ulmschneider and E. R. Priest (eds.),Mechanisms of Chromosphere and Coronal Heating, Springer-Verlag, Heidelberg, p. 494.
Roberts, B.: 1991, in E. R. Priest and A. W. Hood,Advances in Solar System Magnetohydrodynamics, Cambridge University Press, Cambridge, p. 103.
Roberts, B., Edwin, P. M., and Benz, A. O.: 1983,Nature 305, 688.
Roberts, B., Edwin, P. M., and Benz, A. O.: 1984,Astrophys. J. 279, 857.
Ruderman, M. S.: 1988,Plasma Phys. Contr. Fusion 30, 1117.
Ruderman, M. S.: 1991, preprint.
Sahyouni, W., Zhelyazkov, I., and Nenovski, P.: 1988,Solar Phys. 115, 17.
Steinolfson, R. S.: 1984,Phys. Fluids 27, 781.
Stenflo, L. and Gradov, O. M.: 1986,IEEE Trans. Plasma Sc. PS-14, 554.
Takakura, T., Kaufmann, P., Costa, J. E. R., Degaonakar, S. S., Ohki, K., and Nitta, N.: 1983, Nature302, 317.
Tapping, K. F.: 1978,Solar Phys. 59, 145.
Trottet, G., Pick, M., and Heyvaerts, J.: 1979,Astron. Astrophys. 79, 129.
Vladimirov, S. V., Stenflo, L., and Yu, M. Y.: 1991,Phys. Letters 153A, 144.
Weisshaar, E.: 1989,Phys. Fluids A1, 1406.
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Murawski, K., Roberts, B. Numerical simulations of fast MHD waves in a coronal plasma. Sol Phys 144, 255–266 (1993). https://doi.org/10.1007/BF00627592
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DOI: https://doi.org/10.1007/BF00627592