The technique of solution of the magnetohydrodynamics tasks in quasi-Lagrangian variables
A. S. Boldarev, V. A. Gasilov, A. Yu. Krukovskiy, Yu. A. Poveschenko
Keldysh Institute of Applied Mathematics, Russian Ac. Sci.
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.
magnetic hydrodynamics, mass sources and sinks, difference scheme, quasi-Lagrangian variables.
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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”, Matem. Mod., 33:6 (2021), 17–30
Citation in format AMSBIB
\by A.~S.~Boldarev, V.~A.~Gasilov, A.~Yu.~Krukovskiy, Yu.~A.~Poveschenko
\paper The technique of solution of the magnetohydrodynamics tasks in quasi-Lagrangian variables
\jour Matem. Mod.
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