On Conservative and Dissipative Difference Scheme of Dynamics of an Ideal Perfect Gas

Year 2024, Volume: 14 Issue: 2, 205 - 213, 31.07.2024

Fariz B. Imranov Aleksandr G. Sokolov

Abstract

To approximate the continuity equation, a conservative difference scheme
with a non-negative solution is considered. The energy equation is reduced to an analog
of the continuity equation, the approximation of which ensures the non-negativity of the
solution. For an ideal perfect gas, a grid analog of the energy inequality is obtained for
a nonlinear implicit difference scheme

Keywords

approximation, conservatism of the grid analogue of the continuity equation, non-negativity of the grid density and energy, fully implicit nonlinear scheme, estimation of the grid energy

References

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