Open AccessTwo-layer completely conservative gas dynamics schemes with nodal approximation and adaptive regularization of the solution in Euler variables
Author(s) -
Orkhan Rahim oglu Rahimly,
Yuri Andreevich Poveschenko,
Сергей Попов,
В. О. Подрыга,
Parvin Ilgar gizi Rahimly
Publication year - 2022
Publication title -
preprint/preprinty ipm im. m.v. keldyša
Language(s) - English
Resource type - Journals
eISSN - 2071-2901
pISSN - 2071-2898
DOI - 10.20948/prepr-2022-8
Subject(s) - regularization (linguistics) , euler equations , mathematics , monotonic function , backward euler method , viscosity , gas dynamics , euler's formula , mathematical analysis , mechanics , physics , thermodynamics , computer science , artificial intelligence
The paper investigates the stability of a family of two-layer in time completely conservative difference schemes with space-profiled time weights for the system of equations of gas dynamics in Euler variables using adaptive artificial viscosity. Regularization of divergent flows of mass, momentum and internal energy of the equations of gas dynamics using adaptive artificial viscosity that does not violate the properties of complete conservatism of schemes of this class is proposed. Regularized flows make the scheme quasi-monotonic. The results are numerically tested based on Einfeldt problems and shock wave calculations.