Abstract

AbstractFor the equations of gas dynamics in Euler variables, using the operator approach, a family of two-layer in time completely conservative difference schemes with space-profiled weighted factors used to approximate the momentum and energy fluxes over time has been constructed and numerically studied. Schemes have a second order of accuracy and are implemented using simple iterative processes. The regularization of the flux terms of the gas dynamics equations using adaptive artificial viscosity is proposed and numerically investigated by the example of the well-known Einfeldt problem. This regularization effectively eliminates unphysical oscillations of the solution, entropy peaks, and preserves the property of complete conservatism of schemes of this class.

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