Comparative analysis of serval iterative processes for realisation of fully conservative difference schemes for gas dynamics equations in Euler variables

Title	Comparative analysis of serval iterative processes for realisation of fully conservative difference schemes for gas dynamics equations in Euler variables
Authors	M. E. Ladonkina^{1, 2}, Y. A. Poveschenko^{1, 2}, H. _. Zhang^{1, 2} ¹Keldysh Institute of Applied Mathematics of RAS ²Moscow Institute of Physics and Technology
Annotation	In iterative algorithms for fully conservative difference schemes (FCDS) for the equations of gas dynamics in Euler variables, new methods of selecting adaptive artificial viscosity (AAV) applied in the tridiagonal matrix algorithm on the example of calculation of the Sod problem as in explicit iterative processes are developed.
Keywords	completely conservative difference scheme, method of reference operators, gas dynamics, Sod problem.
Citation	Ladonkina M. E., Poveschenko Y. A., Zhang H. _. ''Comparative analysis of serval iterative processes for realisation of fully conservative difference schemes for gas dynamics equations in Euler variables'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 26-28, 2024). Saransk: SVMO Publ, 2024. - pp. 99-104. Available at: https://conf.svmo.ru/files/2024/papers/paper16.pdf. - Date of access: 16.10.2024.