Abstract:
A mathematical model is developed for formation and propagation of discontinuous waves caused by sliding of a shoreside landslide into water. The model is based on the equations of a two-layer “shallow liquid” with specially introduced “dry friction” in the low layer, which allows one to describe the joint motion of the landslide and water. An explicit difference scheme approximating these equations is constructed, and it is used to develop a numerical algorithm for simulating the motion of the free boundaries of both the landslide and water (in particular, the propagation of a water wave along a dry channel, incidence of the wave on the lakeside, and flow over obstacles).
Citation:
V. V. Ostapenko, “Numerical simulation of wave flows caused by a shoreside landslide”, Prikl. Mekh. Tekh. Fiz., 40:4 (1999), 109–117; J. Appl. Mech. Tech. Phys., 40:4 (1999), 647–654
This publication is cited in the following 8 articles:
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T. G. Elizarova, A. V. Ivanov, “Regularized equations for numerical simulation of flows in the two-layer shallow water approximation”, Comput. Math. Math. Phys., 58:5 (2018), 714–734
Nina Shokina, Vadym Aizinger, “On numerical modelling of impulse water waves generated by submarine landslides”, Environ Earth Sci, 74:11 (2015), 7387
Randall J. LeVeque, David L. George, Marsha J. Berger, “Tsunami modelling with adaptively refined finite volume methods”, Acta Numerica, 20 (2011), 211
Marc de la Asunción, José M. Mantas, Manuel J. Castro, Lecture Notes in Computer Science, 6272, Euro-Par 2010 - Parallel Processing, 2010, 353
A. F. Voevodin, V. S. Nikiforovskaya, V. V. Ostapenko, “Mathematical modeling of transformation of flood waves in stream channels with floodplains”, Russ. Meteorol. Hydrol., 33:3 (2008), 193
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