Geodesic
The technique of solution of the magnetohydrodynamics tasks in quasi-Lagrangian variables
Matematičeskoe modelirovanie, Tome 33 (2021) no. 6, pp. 17-30

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A method of numerical solution of one-dimensional magnetohydrodynamics (MHD) problems taking into account volume losses and sources of mass is presented. The governing MHD system of equations is written in quasi-Lagrangian variables defined by the initial distribution of the substance. A family of implicit completely conservative difference schemes is constructed. The developed technique has been approved by the numerical experiments with the tasks for which self-similar analytical solutions exist. The computational 1D model based on the quasi-Lagrangian approach may be useful as a means of non-consuming computations with partial taking into account of the effects caused by two- or three-dimensional motion of the substance.
Keywords: magnetic hydrodynamics, mass sources and sinks, difference scheme
Mots-clés : quasi-Lagrangian variables. 
@article{MM_2021_33_6_a1,
     author = {A. S. Boldarev and V. A. Gasilov and A. Yu. Krukovskiy and Yu. A. Poveschenko},
     title = {The technique of solution of the magnetohydrodynamics tasks in {quasi-Lagrangian} variables},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {17--30},
     publisher = {mathdoc},
     volume = {33},
     number = {6},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2021_33_6_a1/}
}
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A. S. Boldarev; V. A. Gasilov; A. Yu. Krukovskiy; Yu. A. Poveschenko. The technique of solution of the magnetohydrodynamics tasks in quasi-Lagrangian variables. Matematičeskoe modelirovanie, Tome 33 (2021) no. 6, pp. 17-30. http://geodesic.mathdoc.fr/item/MM_2021_33_6_a1/