Geodesic
About numerical solution of the three-dimensional shock problems
Matematičeskoe modelirovanie, Tome 2 (1990) no. 2, pp. 58-72.

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In this work we are consider numerical investigation of the nonstationary three-dimensional shock problems. Our problem is modeling the process of nonnormal shock by using of grid-characteristic method for multidimensional system of hyperbolic equations. We use the dynamic three-dimensional deformable rigid body system of equations and the model of the elastic-ideallyplastic medium. In many problems of this type having clearly manifested shock wave properties, we have to calculate the discontinuity surfaces spreading over the deformable medium and interacting with the boundaries as well as one with another. 
@article{MM_1990_2_2_a4,
     author = {I. B. Petrov and I. G. Tormasov},
     title = {About numerical solution of the three-dimensional shock problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {58--72},
     publisher = {mathdoc},
     volume = {2},
     number = {2},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_2_a4/}
}
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I. B. Petrov; I. G. Tormasov. About numerical solution of the three-dimensional shock problems. Matematičeskoe modelirovanie, Tome 2 (1990) no. 2, pp. 58-72. http://geodesic.mathdoc.fr/item/MM_1990_2_2_a4/