Geodesic
Finite-difference method for computation of the gas dynamics equations with artificial viscosity
Matematičeskoe modelirovanie, Tome 20 (2008) no. 8, pp. 48-60

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Finite-difference method for computation of the gas dynamics equations with adaptive artificial viscosity (AAV) is proposed. It is homogeneous, monotonous finite-difference scheme of the second order approximation on time and space variables outside of areas of breaks and compression waves. The paper presents new way of introduction of artificial viscosity. It is investigated stability of the scheme. Test calculations of contact breaks movement, shock waves and disintegration of breaks were performed. 
@article{MM_2008_20_8_a4,
     author = {I. V. Popov and I. V. Fryazinov},
     title = {Finite-difference method for computation of the gas dynamics equations with artificial viscosity},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {48--60},
     publisher = {mathdoc},
     volume = {20},
     number = {8},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2008_20_8_a4/}
}
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I. V. Popov; I. V. Fryazinov. Finite-difference method for computation of the gas dynamics equations with artificial viscosity. Matematičeskoe modelirovanie, Tome 20 (2008) no. 8, pp. 48-60. http://geodesic.mathdoc.fr/item/MM_2008_20_8_a4/