Geodesic
Rarefaction shock waves in gas dynamics numerical solutions
Matematičeskoe modelirovanie, Tome 20 (2008) no. 1, pp. 48-60

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Properties of various gas dynamics difference schemes (conservative, nonconsevative and completely conservative) are investigated on the basis of a classical moving piston problem. It's shown that shock wave can appears in rarefaction wave solution for piston moving out of gas. Shocks appear when low stability schemes are used for these tasks. Explanation of this effect and possible ways of its elimination are proposed. 
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     author = {M. V. Abakumov and S. I. Mukhin and Yu. P. Popov and D. V. Rogozhkin},
     title = {Rarefaction shock waves in gas dynamics numerical solutions},
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M. V. Abakumov; S. I. Mukhin; Yu. P. Popov; D. V. Rogozhkin. Rarefaction shock waves in gas dynamics numerical solutions. Matematičeskoe modelirovanie, Tome 20 (2008) no. 1, pp. 48-60. http://geodesic.mathdoc.fr/item/MM_2008_20_1_a3/