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Calculation of Power Action of Wave on Support Devices of Marine Structures
Technical sciences

Authors: Alexander I. SUKHINOV is Doctor of Physical and Mathematical Sciences, Professor. Head of Department, Director of the Research Institute of Mathematical Modeling and Prediction of Complex Systems, of Don State Technical University (DSTU). Нe is author more than 230 scientific publications. E-mail: sukhinov@gmail.com
Natalya Alekseevna FOMENKO is Candidate of Physical and Mathematical Sciences. Associate Professor at the Department of Higher Mathematics of Gubkin Russian State University of Oil and Gas (National Research University). She is author of 27 scientific publications. E-mail: fomenko.nata.alex@gmail.com
Alexander E. CHISTYAKOV is Doctor of Physical and Mathematical Sciences, рrofessor of the Department of Software Computing and Automated Systems, of Don State Technical University (DSTU). Нe is author more than 170 scientific publications.
E-mail: sheese_05@gmail.ru

Abstract: The work is devoted to the development of a mathematical model of wave processes with respect for the hydrodynamic effect on supporting devices of various marine structures in the presence of surface waves in particular on support devices designed for operation at a depth of up to 40 meters. A full-scale experiment was conducted to measure various parameters of wave propagation in shallow water. On the basis of the experimental data, the values of the spectrum of the function of elevating the water level were obtained. A two-dimensional model of wave hydrodynamic processes describing the behavior of an aquatic environment near marine structures was developed. On the basis of the constructed algorithms, a set of programs was designed to simulate the propagation of wave hydrodynamic processes. The constructed program complex allows to specify the shape and intensity of the oscillation source, the geometry of the above-water object. On the basis of the developed software complex, the force influence of waves on structures with a support on the bottom of the reservoir was calculated

Index UDK: 519.6:532.5

Keywords: waves, shallow water, surface structures, support devices, power action

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2. Sukhinov A.I., Chistyakov A.E. Parallelnaya realizatsiya trekhmernoi modeli gidrodinamiki melkovodnykh vodoemov na supervychislitelnoi sisteme. Vychislitelnye metody i programmirovanie: novye vychislitelnye tekhnologii, t. 13, 2012, p. 290-297.
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6. Sukhinov A.I., Chistyakov A.E., Fomenko N.A. Method of construction difference scheme for problems of diffusion-convection-reaction, takes into the degree filling of the control volume. Izvestiya SFedU. Engineering sciences. 2013, no. 4, p. 87-98.
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10. Sukhinov A.I., Chistyakov A.E. Adaptive analog-SSOR iterative method for solving grid equations with nonselfadjoint operators. Matematisheskoe modelirovanie, t. 24, 2012, no. 1, p. 3-20.
11. Nikitina A.V., Chistjakov A.E., Fomenko N.A. Primenenie adaptivnogo modifizirovannogo poperemenno-treygol’nogo iterazionnogo metoda dlya shislennoy realizazii dvymernoi matematich- eskoy modeli dvicseniya vodnoi sredy. [Application of the adaptive analog-SSOR iterative method for numerical realization of two-dimensional mathematical model of movement of the aqueous medium]. Inženernyj vestnik Dona, 2012, t. 20, no. 2, p. 335-339