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A FREE SURFACE FLUID FLOWS MODELING

В. А. Гущин

Abstract

Study of wave motions fluid is one of the most important and complex problems of modern hydrodynamics. This issue is receiving significant attention in fluid mechanics, hydraulics, acoustics, oceanography and physiology of circulation. Special mention should be made of the relevance of the objectives of the movement body of finite size in fluid, ship hydrodynamics tasks, tasks construction of coastal protection, as well as the increasing interest in modeling the planet's climate. The fluid flows in the presence of a free surface are both scientific and practical interest. The theoretical and laboratory researches are performed. With the creation of supercomputers, it became possible to mathematical modeling of the studied processes. Bearing in mind that such flows there are areas with large gradients of hydrodynamic parameters required methods should possess such properties as a high order of accuracy, minimum scheme dissipation and dispersion, as well as monotony. This paper will provide a brief description of the method SMIF (Splitting on physical factors Method for Incompressible Fluid flows) and CABARE method possessing the properties mentioned above. The test calculations and comparison with some theoretical, experimental data and calculations of other authors will be demonstrated.

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DOI resolver: doi.org/10.5593/sgem2018/2.1/s07.003

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