Abstract:
A numerical model describing dynamics of surface gravity waves and acoustic waves excited in the ocean by small dynamic deformations of the bottom is constructed. The model is based on the linear potential theory. The model represents a combination of two dynamically coupled blocks: deep-water and shallow. The deep-water block solves a three-dimensional problem of potential wave theory in a sigma-spherical coordinates, the shallow block — a two-dimensional problem of shallow water theory in spherical coordinates. Results of testing of the numerical model with use of analytical solution of the problem in case of flat horizontal bottom are shown. A comparative analysis of results of simulations of tsunamis on November 15, 2006 and January 13, 2007 on the Central Kuril Islands with use of newly constructed and traditional long-wave models is carried out.
Citation:
M. A. Nosov, S. V. Kolesov, “Combined numerical model of tsunami”, Mat. Model., 31:1 (2019), 44–62; Math. Models Comput. Simul., 11:5 (2019), 679–689
This publication is cited in the following 10 articles:
Linjian Song, Chao An, “Extraction of Tsunami Signals from Coupled Seismic and Tsunami Waves”, JMSE, 13:3 (2025), 419
K A Sementsov, T Baba, S V Kolesov, Y Tanioka, M A Nosov, “The effect of earthquake fault rupture kinematics on tsunami generation: a numerical study of real events”, Geophysical Journal International, 240:2 (2024), 920
M. A. Nosov, A. I. Zarubina, “Criterion of Applicability of the Theory of Long Waves for Description of Dispersive Tsunami Waves”, Izvestiya Rossiiskoi akademii nauk. Fizika atmosfery i okeana, 59:4 (2023), 485
K. A. Sementsov, M. A. Nosov, “Calculation of the initial elevation of the water surface at the tsunami source in the basin with arbitrary bottom topography”, Math. Models Comput. Simul., 15:4 (2023), 746–758
M. A. Nosov, A. I. Zarubina, “Criterion of Applicability of the Theory of Long Waves for Describing Dispersive Tsunami Waves”, Izv. Atmos. Ocean. Phys., 59:4 (2023), 421
M. A. Nosov, K. A. Sementsov, S. V. Kolesov, V. V. Pryadun, “The Volcanogenic Tsunami on January 15, 2022, Based on the Records of Deep-Ocean DART Stations”, Dokl. Earth Sc., 507:1 (2022), 904
M. A. Nosov, K. A. Sementsov, S. V. Kolesov, V. V. Pryadun, “Atmospheric Lamb Wave Manifestations in Bottom Pressure Variations”, Moscow Univ. Phys., 77:6 (2022), 896
E. Tyatyushkina, A. Kozelkov, A. Kurkin, E. Pelinovsky, V. Kurulin, K. Plygunova, D. Utkin, “Verification of the logos software package for tsunami simulations”, Geosciences, 10:10 (2020), 385
K. A. Sementsov, A. V. Bolshakova, “A model for the generation of waves in the ocean by seismic bottom movements in sigma-coordinates”, Mosc. Univ. Phys. Bull., 75:1 (2020), 87–94
N Ravshanov, D Akhmedov, O Ja Kravets, “Atmospheric dispersion modelling in ecological engineering problems”, IOP Conf. Ser.: Mater. Sci. Eng., 862:6 (2020), 062017
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