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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Vychislitelnaya Matematika i Informatika" // Archive

Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2019 Volume 8, Issue 3, Pages 27–42 (Mi vyurv216)

Experimental research of power loads on the supports of the surface structure based on the mathematical model of wave processes

S. V. Protsenkoa, A. M. Atayana, A. E. Chistyakova, A. V. Nikitinab, V. N. Litvinovc, A. A. Filinad

a Don State Technical University (Gagarina sq. 1, Rostov-on-Don, 344000 Russi
b Southern Federal University (Chekhova, 2, Taganrog, 347922 Russia)
c Azov-Black Sea engineering institute of FSBHEEPT “Don State Agrarian Universit" (Lenina 21, Zernograd, 347740 Russia)
d Scientific Research Center of supercomputers and Neurocomputers (per. Italyansky 106, Taganrog, 347900 Russia)

Abstract: 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, surface structures, force, software, algorithm.

UDC: 519.6, 532.5

Received: 16.05.2019

DOI: 10.14529/cmse190302



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