This article is cited in 1 scientific paper (total in 1 paper)
Implementation of the iterative algorithm for numerical solution of 2D magnetogasdynamics problems
A. Yu. Krukovskiy, V. A. Gasilov, Yu. A. Poveschenko, Yu. S. Sharova, L. V. Klochkova
Keldysh Institute of Applied Mathematics, Russian Acad. Sci.
We study an algorithm of making a numerical solution to the equations of magnetic gas
dynamics (MHD), approximated by a completely conservative Eulerian-Lagrangian difference scheme (PCRS). The governing system describing a high-temperature matter dynamics is solved taking into account the conductive (electron, ion) and radiative heat
transfer. The scheme is implicit for the calculations related to the “Lagrangian” moving
grid, and the corresponding difference equations are solved by an iterative method with a
consistent account of physical processes. We consider various combinations of difference equations grouped according to physical processes. The convergence criteria for the studied iteration process are obtained and validated through numerical experiments with
model and application problems.
magnetic gas dynamics, plasma dynamics, Z-pinch, implicit completely conservative difference scheme, iterative method.
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A. Yu. Krukovskiy, V. A. Gasilov, Yu. A. Poveschenko, Yu. S. Sharova, L. V. Klochkova, “Implementation of the iterative algorithm for numerical solution of 2D magnetogasdynamics problems”, Matem. Mod., 32:1 (2020), 50–70
Citation in format AMSBIB
\by A.~Yu.~Krukovskiy, V.~A.~Gasilov, Yu.~A.~Poveschenko, Yu.~S.~Sharova, L.~V.~Klochkova
\paper Implementation of the iterative algorithm for numerical solution of 2D magnetogasdynamics problems
\jour Matem. Mod.
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A. S. Boldarev, V. A. Gasilov, A. Yu. Krukovskii, Yu. A. Poveschenko, “Metodika resheniya zadach magnitnoi gidrodinamiki v kvazilagranzhevykh peremennykh”, Matem. modelirovanie, 33:6 (2021), 17–30
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