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A FREE SURFACE FLUID FLOWS MODELING

В. А. Гущин

First published: 2018-06-20https://doi.org/10.5593/sgem2018/2.1/s07.003View metrics

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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Publication details

Title
A FREE SURFACE FLUID FLOWS MODELING
Authors
В. А. Гущин
Proceedings
SGEM International Multidisciplinary Scientific GeoConference EXPO Proceedings; 18th International Multidisciplinary Scientific GeoConference SGEM2018, Informatics, Geoinformatics and Remote Sensing
Publisher
STEF92 Technology
Year
2018
Pages
19-26
SWS Citekey
Gushchin201871926
ISSN
1314-2704
ISBN
978-619-7408-39-3
Language
en
Publication type
Conference Paper
Keywords
References9
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  6. Belotserkovskii O. M., Gushchin V. A., Konshin V. N., Splitting method for studying stratified fluid flows with free surfaces, USSR Computational Mathematics and Mathematical Physics, vol. 27/issue 2, pp 181–196, 1987.

  7. Goloviznin V. M., Karabasov S. A. Kondakov V. G., Generalization of the CABARET scheme to two-dimensional orthogonal computational grids, Math Models Comput. Simul. vol.6, pp 56-79, 2014. DOI: 10.1134/S2070048214010050

  8. Iserles A., Generalized Leapfrog Methods, IMA Journal of Numerical Analysis, vol. 6/issue 3, pp 381-392, 1986.

  9. Savinov G.V., Generalized method of conjugate gradients for the solution of linear systems, J. Math. Sci., vol. 28, pp 397-402, 1985. DOI: 10.1007/BF02104311

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