Implementing a Fully Conservative Lagrangian–Euler Scheme for Two-Dimensional Problems of Magnetic Gas Dynamics

• Published in: Mathematical models and computer simulations Vol. 12; no. 5; pp. 706 - 718
• Main Authors: Krukovskiy, A. Yu, Gasilov, V. A., Poveschenko, Yu. A., Sharova, Yu. S., Klochkova, L. V.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-09-2020; Springer Nature B.V
• Subjects: Algorithms; Difference equations; Gas dynamics; High temperature; Iterative methods; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Radiative heat transfer; Simulation and Modeling; plasma dynamics; pinch; magnetic gas dynamics; iterative method; implicit fully conservative difference scheme
• ISSN: 2070-0482; 2070-0490
• DOI: 10.1134/S2070048220050129

An algorithm for the numerical solution of the equations of magnetic gas dynamics (MGD) approximated by a fully conservative Lagrangian–Euler difference scheme (FCDS) is considered. The complete system of equations for the dynamics of a high-temperature medium is solved taking into account the conductive (electronic, ionic) and radiative heat transfer. The calculation stage related to computations on a Lagrangian moving grid is implemented based on implicit approximations. The corresponding difference equations are solved by an iterative method with a sequential allowance for physical processes. Convergence estimates are obtained for various combinations of difference equations grouped according to physical processes. The obtained estimates are validated by computational experiments with model and applied problems.