| Реферат: | eng: The work is devoted to the numerical modelling of surface water waves generated by a moving underwater landslide on irregular bottom. Currently the works of other authors consider flat bottoms only. The modelling is done in the framework of the shallow water model with taking into account bottom mobility. The equations are obtained for an underwater landslide movement under the action of gravity force, buoyancy force, friction force and water resistance force. The predictor-corrector scheme [5], preserving the monotonicity of the numerical solution profiles in a linear case, is used on adaptive grids, which are generated using the equidistribution method [7]. The scheme is tested for the problem with a known analytical solution, describing the wave generation by a nondeformable body, which moves with a constant velocity on a horizontal bottom. The analysis is done for an irregular bottom of the dependencies of wave regime characteristics on bottom slope, initial landslide depth, its length and width. © 2011 Springer-Verlag Berlin Heidelberg.
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| Цитирование: | 1. Beisel, S.A., Chubarov, L.B., Shokin, Y.I.: Some features of the landslide mechanism of surface waves generation in real basins. This book
2. Watts, P., Imamura, F., Grilli, S.T.: Comparing model simulations of three benchmark tsunami generation cases. Sci. Tsunami Hazards 18(2), 107-123 (2000)
3. Chubarov, L.B., Eletskii, S.V., Fedotova, Z.I., Khakimzyanov, G.S.: Simulation of surface waves generation by an underwater landslide. Rus. J. Numer. Anal. Math. Model. 20(5), 425-437 (2005)
4. Watts, P., Grilli, S.T., Kirby, J.T., Fryer, G.J., Tappin, D.R.: Landslide tsunami case studies using a Boussinesq model and a fully nonlinear tsunami generation model. Natur. Hazards Earth Syst. Sci. 3(5), 391-402 (2003)
5. Shokin, Y.I., Khakimzyanov, G.S.: Construction of monotonic schemes on the basis of method of differential approximation. In: Krause, E., Shokin, Y.I., Resch, M.M., Shokina, N. (eds.) Computational Science and High Performance Computing II. The 2nd Russian-German Advanced Research Workshop, Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), Stuttgart, Germany, March 23-27, vol. 99, pp. 13-20 (2006)
6. Shokin, Y.I., Sergeeva, Y.V., Khakimzyanov, G.S.: Predictor-corrector scheme for the solution of shallow water equations. Rus. J. Numer. Anal. Math. Model. 21(5), 459-479 (2006)
7. Khakimzyanov, G.S., Shokin, Y.I., Barakhnin, V.B., Shokina, N.Y.: Numerical Modelling of Fluid Flows with Surface Waves. SB RAS Publishing House, Nobosibirsk (2001) (in Russian)
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