Geodesic
Experimental research of power loads on the supports of the surface structure based on the mathematical model of wave processes
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 8 (2019) no. 3, pp. 27-42 Cet article a éte moissonné depuis la source Math-Net.Ru

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The article is devoted to the research of the effects of wave processes on above-water constructions using a mathematical model of wave processes based on the system of Navier-Stokes equations, which includes three equations of motion in areas with dynamically changing geometry of the computational domain. The pressure correction method is used for the approximation of a hydrodynamic model. The difference schemes describing the mathematical model of the wave exit to the shore are constructed on the basis of the integro-interpolation method using the scheme with weights. An adaptive alternating-triangular iterative method is used to solve the system of grid equations. The practical significance of numerical algorithms and the complex of programs implementing them consists in the possibility of their application in the study of hydrophysical processes in coastal water systems, as well as for the construction of the velocity field and pressure of the aquatic environment, as well as the assessment of the hydrodynamic effect on coastal protection structures and riparian constructions in the presence of surface waves.
Keywords: wave process, mathematical model, areas of drainage and flooding, software, algorithm.
Mots-clés : surface structures, force 
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     title = {Experimental research of power loads on the supports of the surface structure based on the mathematical model of wave processes},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a Vy\v{c}islitelʹna\^a matematika i informatika},
     pages = {27--42},
     year = {2019},
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S. V. Protsenko; A. M. Atayan; A. E. Chistyakov; A. V. Nikitina; V. N. Litvinov; A. A. Filina. Experimental research of power loads on the supports of the surface structure based on the mathematical model of wave processes. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 8 (2019) no. 3, pp. 27-42. http://geodesic.mathdoc.fr/item/VYURV_2019_8_3_a1/

[1] O. M. Belocerkovskij, V. A. Gushchin, V. V. Shchennikov, “Splitting Method Applied to Solving Problems of Viscous Incompressible Fluid Dynamics”, Journal of Computational Mathematics and Mathematical Physics, 15:1 (1975), 197–207

[2] A. I. Suhinov, A. E. Chistyakov, E. V. Alekseenko, “Numerical Implementation of a ThreeDimensional Hydrodynamics Model for Shallow Water Bodies on a Supercomputing System”, Mathematical Modeling, 23:3 (2011), 3–21

[3] A. I. Suhinov, A. E. Chistyakov, “Parallel Implementation of a Three-Dimensional Model of Hydrodynamics of Shallow Water Bodies on a Supercomputing System”, Computational Methods and Programming: New Computational Technologies, 13 (2012), 290–297

[4] O./,M. Belocerkovskij, Turbulence: New Approach, Nauka, Moscow, 2003

[5] V. A. Gushchin, V. V. Mitkin, T. I. Rozhdestvenskaya, Y. U. Chashechkin, “Numerical and Experimental Study of the Fine Structure of Stratified Fluid Flow Near a Circular Cylinder”, Applied Mechanics and Technical Physics, 48:1 (2007), 43–54

[6] A. I. Suhinov, A. E. Chistyakov, E. F. Timofeeva, A. V. Shishenya, “Mathematical Model of Calculation of Coastal Wave Processes”, Mathematical Modeling, 24:8 (2012), 32–44

[7] A. I. Suhinov, A. E. Chistyakov, N. A. Fomenko, “A Method of Constructing Difference Schemes for the Diffusion-Convection-Reaction Problem, Taking Into Account the Degree of Filling of Control Cells. News of Southern Federal University”, Technical science, 4 (2013), 87–96

[8] A. A. Samarskij, Theory of Difference Schem, Nauka, Moscow, 1989

[9] A. A. Samarskij, P. N. Vabishchevich, Numerical Methods for Solving Convection-Diffusion Problems, EHditorial URSS, Moscow, 1999

[10] V. S. Vasil'ev, A. I. Suhinov, “Precision Two-Dimensional Models of Shallow Water Bodies”, Mathematical Modeling, 15:10 (2003), 17–34

[11] A. I. Suhinov, A. E. Chistyakov, E. A. Procenko, “Mathematical Modeling of Sediment Transport in Coastal Water Systems on a Multiprocessor Computer System”, Computational Methods and Programming, 15 (2014), 610–620

[12] A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, “Mathematical Modeling of Sediment Transport in the Coastal Zone of Shallow Reservoirs”, Mathematical Models and Computer Simulations, 6:4 (2014), 351–363 | DOI

[13] A. A. Samarskij, E. S. Nikolaev, Methods for Solving Grid Equations, Nauka, Moscow, 1978

[14] A. N. Konovalov, “On the Theory of the Alternating - Triangular Iterative Method”, Siberian Mathematical Journal, 43:3 (2002), 552–572

[15] A. I. Suhinov, A. E. Chistyakov, “Adaptive Modified Alternating-Triangular Iterative Method for Solving Grid Equations With Non-Self-Adjoint Operator”, Mathematical Modeling, 24:1 (2012), 3–20

[16] A. I. Sukhinov, A. A. Sukhinov, “Reconstruction of 2001 Ecological Disaster in the Azov Sea on the Basis of Precise Hydrophysics Models”, Parallel Computational Fluid Dynamics, Multidisciplinary Applications, Proceedings of Parallel CFD 2004 Conference (Las Palmas de Gran Canaria, Spain, ELSEVIER, Amsterdam-Berlin-London-New YorkTokyo), 2005, 231–238 | DOI

[17] E. Alekseenko, B. Roux, A. Sukhinov, R. Kotarba, D. Fougere, “Coastal Hydrodynamics in a Windy Lagoon”, Nonlinear Processes in Geophysics, 20:2 (2013), 189–198 | DOI

[18] E. Alekseenko, B. Roux, A. Sukhinov, R. Kotarba, D. Fougere, “Nonlinear HydrodyNamics in a Mediterranean Lagoon”, Computational Mathematics and Mathematical Physics, 27:6 (2017), 978–994 | DOI

[19] A. I. Sukhinov, A. E. Chistyakov, A. A. Semenyakina, A. V. Nikitina, “Numerical Modeling of an Ecological Condition of the Sea of Azov With Application of Schemes of the Raised Accuracy Order on the Multiprocessor Computing System”, Computer Researches and Modeling, 8:1 (2016), 151–168

[20] V. A. Gushchin, A. I. Sukhinov, A. V. Nikitina, A. E. Chistyakov, A. A. Semenyakina, “A Model of Transport and Transformation of Biogenic Elements in the Coastal System and Its Numerical Implementation”, Computational Mathematics and Mathematical Physics, 58:8 (2018), 1316–1333 | DOI