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Direct and Inverse Problems of Dynamics of Surface Waves Caused by Flow around Underwater Obstacle

Dmitri Knyazkov, V. G. Baydulov, A. S. Savin, А. С. Шамаев

2023Прикладная математика и механика13 citationsDOIOpen Access PDF

Abstract

The paper presents algorithms and results of calculations of the dynamics of the surface layer of a liquid under the action of currents that have emerged from the depth. Several approaches to modeling the velocity field in a horizontal flow round a fixed underwater obstacle are investigated. Formulas for calculating the velocity field on the free surface of an ideal homogeneous liquid are proposed. A computer program has been developed that makes it possible to simulate the interaction of a stratified fluid flow with an underwater obstacle. The possibility of using asymptotic formulas for the far-field approximation to calculate the velocity field in a uniformly stratified fluid is studied.

Topics & Concepts

ObstacleUnderwaterInverseFlow (mathematics)Dynamics (music)Surface (topology)PhysicsGeologyMechanicsAcousticsComputer scienceClassical mechanicsMathematicsGeometryGeographyOceanographyArchaeologyOcean Waves and Remote SensingArctic and Antarctic ice dynamicsAquatic and Environmental Studies
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