Generation of waves by a shock wave sliding along the shallow water surface
Matematičeskoe modelirovanie, Tome 28 (2016) no. 12, pp. 74-82.

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We consider the problem of generation of waves by a shock wave which moves out from the solid ledge to the shallow water surface. We introduce the analytical and numerical solutions of the problem. We show the characteristic features of the generated waves. The typical dependences of the surface wave parameters on those of the shock wave are revealed.
Keywords: shallow water, shock wave, wave generation.
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L. V. Nadkrinichnyi. Generation of waves by a shock wave sliding along the shallow water surface. Matematičeskoe modelirovanie, Tome 28 (2016) no. 12, pp. 74-82. http://geodesic.mathdoc.fr/item/MM_2016_28_12_a5/

[1] L.I. Sedov, Similarity and Dimensional Methods in Mechanics, 10th Edition, CRC Press, Boca Raton, 1993, 496 pp.

[2] B.E. Gelfand, M.V. Silnikov, Gazovye vzryvy, Asterion, Spb., 2007, 240 pp.

[3] B.E. Gelfand, M.V. Silnikov, Fugasnoe deistvie vzryvov, Asterion, Spb., 2007, 252 pp.

[4] S. Morioka, G. Matsui, “Propagation of a Disturbance through a Separated Gas-Liquid System”, Journal of The Physical Society of Japan, 35:4 (1973), 1218–1224 | DOI | MR

[5] T. Koshinaka, S. Morioka, “Pressure Waves in a Separated Gas-Liquid Layer in a Horizontal Duct with a Step”, Fluid Dynamics Research, 12 (1993), 323–333 | DOI

[6] J. Pedlosky, Geophysical Fluid Dynamics, Second Edition, Springer-Verlag, NY, 1987, 710 pp. | Zbl

[7] L.V. Nadkrinichnyi, “Numerical Study of the Generation and Propagation of Tsunami Waves Caused by a Running Bottom Rift”, Mathematical Models and Computer Simulations, 6:3 (2014), 262–271 | DOI | MR

[8] A. Teodorczyk, J. E. Shepherd, Interaction of a Shock Wave with a Water Layer, Explosion Dynamics Laboratory Report FM2012.002, California Institute of Technology, Pasadena, 2012, 45 pp.

[9] G. Korn, T. Korn, Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review, Dover Civil and Mechanical Engineering, Dover Publications, NY, 2000, 1152 pp. | MR