Geodesic
Disturbance evolution in the shock impact of a density non-uniform medium
Matematičeskoe modelirovanie, Tome 29 (2017) no. 3, pp. 95-112

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In this work the problem of two semi-infinite plates impact is analyzed theoretically and numerically. At initial, the density field in the impactor is perturbed while the pressure distribution is constant. We consider high velocity impact so that the problem is solved with the hydrodynamic approach. It is theoretically shown that different modes of the perturbation evolution in plates can be realized due to initial data. Numerical simulations are carried out by using Godunov-type methods with different numerical flux approximations. The stationary and moving eulerian meshes are employed. Analyzing comparison between numerical results with analytical solutions conclusions are inferred on numerical approaches best fitted for solving such impact contact problems.
Keywords: shock impact, entropy and shock waves, linear analysis of stability, numerical modeling. 
@article{MM_2017_29_3_a7,
     author = {K. E. Gorodnichev and P. P. Zakharov and S. E. Kuratov and I. S. Menshov and A. A. Serezhkin},
     title = {Disturbance evolution in the shock impact of a density non-uniform medium},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {95--112},
     publisher = {mathdoc},
     volume = {29},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_3_a7/}
}
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K. E. Gorodnichev; P. P. Zakharov; S. E. Kuratov; I. S. Menshov; A. A. Serezhkin. Disturbance evolution in the shock impact of a density non-uniform medium. Matematičeskoe modelirovanie, Tome 29 (2017) no. 3, pp. 95-112. http://geodesic.mathdoc.fr/item/MM_2017_29_3_a7/