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

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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