and Computational Methods

doi: 10.18698/2309-3684-2015-3-4157

The article describes an analytical solution to the model problem about stratified flow wave action on the underwater pipeline in the case of the circulation flow. Numerical computations of the hydrodynamic reactions for the real sea conditions are performed. The values of the flow parameters at which the wave-making drag and the lift capacity of the pipeline reaches its maximum are determined.

Vladimirov I., Korchagin N., Savin A. Hydrodynamic reactions in the model of circulatory streamlining the pipeline by bottom sea currents. Маthematical Modeling and Coтputational Methods, 2015, №3 (7), pp. 41-57

doi: 10.18698/2309-3684-2019-3-113124

The paper considers a pulse point source in the lower layer of stratified fluid. An expression for the perturbation of its free surface is obtained. It is shown that two waves arise on the surface of the liquid, associated with the presence of a density jump in it. Examples of numerical calculations for real sea conditions are shown. The pulse point source is a model of elementary perturbation of the liquid medium depth, allowing a complete mathematical study in the framework of the approximation of small waves. This approximation is quite justified in cases of simulating real disturbance sources located at considerable depths, since these sources transmit a very weak signal to the sea surface. The main problem in such cases is the isolation of this signal from background noise, such as wind waves. The solution of the problem should be based on the results of mathematical modeling of sea surface disturbances by different sources in the depth of the marine environment. More complex models can be designed by considering real disturbances of the marine environment as some superpositions of model elementary disturbances from point pulse sources. Furthermore, a complete mathematical solution to the problem of a point pulse source gives an idea of the orders of the sea surface disturbance magnitudes, which creates the basis for obtaining various estimates of possible disturbances and therefore is of considerable interest in the development of requirements for sea surface remote sensing equipment.

Носов В.Н., Савин А.С. Численное моделирование возмущения свободной поверхности двухслойной жидкости точечным источником, локализованным в нижнем слое. Математическое моделирование и численные методы. 2019. № 3. с. 113–124.

doi: 10.18698/2309-3684-2017-1-7890

The research examines the planar and three-dimensional problems of an ice cover perturbed by a point pulse source localized in the depth of an infinitely deep liquid. We studied the ice cover of different thickness and carried out numerical study of its perturbations by sources located at different depths. The main attention is paid to the ice cover perturbations that arise directly above the source.

Savin A., Gorlova N., Strunin P. Numerical simulation of the point pulse source impact in a liquid on the ice cover. Маthematical Modeling and Coтputational Methods, 2017, №1 (13), pp. 78-90

doi: 10.18698/2309-3684-2014-4-7487

The article describes performed simulation of force action on streamlined horizontal elements of engineering structures in the upper layer of sharply stratified flow associated with the generation of waves at the interface between the liquid layers. We obtained an integral representation of the wave drag and lift, made numerical calculations for a real marine environment. The conditions under which there is a significant increase in the hydrodynamic reactions on streamlined structural elements were revealed.

Vladimirov I., Korchagin N., Savin A. Simulation of wave action on horizontal structure elements in the upper layer of stratified flow. Маthematical Modeling and Coтputational Methods, 2014, №4 (4), pp. 74-87

doi: 10.18698/2309-3684-2014-2-6276

We have studied impact of near bottom flow ply boundaries waves’ forces on an underwater pipeline. We have performed numerical analysis of the obtained integral representation for the force of aqueous medium impact on the pipeline. We have revealed certain flow conditions with significant increase of hydrodynamic reactions.

Vladimirov I., Korchagin N., Savin A. Simulation of wave influence of a stratified current on an underwater pipeline. Маthematical Modeling and Coтputational Methods, 2014, №2 (2), pp. 62-76