The Technique of Solving Magnetohydrodynamic Problems in Quasi-Lagrangian Variables

A method for the numerical solution of one-dimensional problems of magnetohydrodynamics (MHD) taking into account volumetric losses or mass sources is presented. The original MHD system of equations is written in the quasi-Lagrangian variables determined from the initial distribution of matter. A fa...

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Bibliographic Details
Published in:Mathematical models and computer simulations 2022-02, Vol.14 (1), p.10-18
Main Authors: Boldarev, A. S., Gasilov, V. A., Krukovskiy, A. Yu, Poveschenko, Yu. A.
Format: Article
Language:English
Subjects:
Fluid flow
Magnetohydrodynamics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
One dimensional models
Self-similarity
Simulation and Modeling
Three dimensional motion
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Summary:A method for the numerical solution of one-dimensional problems of magnetohydrodynamics (MHD) taking into account volumetric losses or mass sources is presented. The original MHD system of equations is written in the quasi-Lagrangian variables determined from the initial distribution of matter. A family of implicit fully conservative difference schemes is constructed. The developed technique is tested by computational experiments on problems for which self-similar solutions exist. A computer 1D model based on the quasi-Lagrangian approach can be useful as a means of economical estimation calculations with partial consideration of the effects caused by the two-dimensional or three-dimensional motion of matter.
ISSN:2070-0482
2070-0490
DOI:10.1134/S2070048222010069