Abstract:
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, quasi-Lagrangian variables.
Citation:
A. S. Boldarev, V. A. Gasilov, A. Yu. Krukovskiy, Yu. A. Poveschenko, “The technique of solution of the magnetohydrodynamics tasks in quasi-Lagrangian variables”, Mat. Model., 33:6 (2021), 17–30; Math. Models Comput. Simul., 14:1 (2022), 10–18
\Bibitem{BolGasKru21}
\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 Mat. Model.
\yr 2021
\vol 33
\issue 6
\pages 17--30
\mathnet{http://mi.mathnet.ru/mm4292}
\crossref{https://doi.org/10.20948/mm-2021-06-02}
\transl
\jour Math. Models Comput. Simul.
\yr 2022
\vol 14
\issue 1
\pages 10--18
\crossref{https://doi.org/10.1134/S2070048222010069}
Linking options:
https://www.mathnet.ru/eng/mm4292
https://www.mathnet.ru/eng/mm/v33/i6/p17
This publication is cited in the following 1 articles:
V. A. Gasilov, A. Yu. Krukovskiy, “On the calculation of radiative heat transfer in a composite Z-pinch”, Math. Models Comput. Simul., 15:2 (2023), 255–264
Citation in format AMSBIB
Contact us: