Geodesic
A dynamic mesh adaptation method for magnetohydrodynamics problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 11, pp. 1898-1912

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A dynamic adaptation method is used to numerically solve the MHD equations. The basic idea behind the method is to use an arbitrary nonstationary coordinate system for which the numerical procedure and the mesh refinement mechanism are formulated as a unified differential model. Numerical examples of multidimensional MHD flows on dynamic adaptive meshes are given to illustrate the method. 
@article{ZVMMF_2007_47_11_a7,
     author = {A. G. Zhilkin},
     title = {A~dynamic mesh adaptation method for magnetohydrodynamics problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1898--1912},
     publisher = {mathdoc},
     volume = {47},
     number = {11},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_11_a7/}
}
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A. G. Zhilkin. A dynamic mesh adaptation method for magnetohydrodynamics problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 11, pp. 1898-1912. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_11_a7/