Finite-difference method for solving gas dynamics equations using adaptive artificial viscosity

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Abstract
A finite-difference method is proposed for solving gas dynamics equations, i.e., a homogeneous, monotonous finite-difference scheme of the second- order time approximation and space variables outside the areas of discontinuities and compression waves. A new way to introduce adaptive artificial viscosity (AAV) in a difference scheme is considered. The stability of the proposed difference scheme is numerically studied. Test calculations are presented for the motion of contact discontinuities, blast waves, and disintegration of discontinuities.