Geodesic
Modeling of magnetorotational instability evolution using a parallel RKDG algorithm for the magnetohydrodynamic system of equations
Numerical methods and programming, Tome 15 (2014) no. 1, pp. 143-153.

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A parallel algorithm of the RKDG (Runge-Kutta Discontinuous Galerkin) method for axisymmetric 2D ideal MHD equations on unstructured triangular grids is developed. An algorithm of divergence-free magnetic field reconstruction in the cylindrical coordinate system is proposed to obtain physically adequate numerical results with a high degree of accuracy. A high level of the developed parallel code scalability is shown for multiprocessor systems. The parallelization efficiency is analyzed using the K-100 cluster installed at the Keldysh Institute of Applied Mathematics. The results of modeling the magnetorotational instability in a accreting protostar shell are discussed.
Keywords: MPI, magnetorotational instability, magnetohydrodynamics, RKDG method, parallel programming, MPI. 
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     author = {M. P. Galanin and V. V. Lukin and K. L. Shapovalov},
     title = {Modeling of magnetorotational instability evolution using a parallel {RKDG} algorithm for the magnetohydrodynamic system of equations},
     journal = {Numerical methods and programming},
     pages = {143--153},
     publisher = {mathdoc},
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     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2014_15_1_a13/}
}
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M. P. Galanin; V. V. Lukin; K. L. Shapovalov. Modeling of magnetorotational instability evolution using a parallel RKDG algorithm for the magnetohydrodynamic system of equations. Numerical methods and programming, Tome 15 (2014) no. 1, pp. 143-153. http://geodesic.mathdoc.fr/item/VMP_2014_15_1_a13/