Выбор модели турбулентности при математическом моделировании работы гребного винта

Sergey S. Gerasimov

doi:10.37890/jwt.vi83.598

Sergey S. Gerasimov Volga State Unuversity of Water Transport, Nizhny Novgorod, Russia https://orcid.org/0009-0008-6699-4243

DOI: https://doi.org/10.37890/jwt.vi83.598

Abstract

mathematical modeling is widely used to solve applied problems in the field of shipping safety. Modeling of ship motion includes modeling the operation of the propeller, which creates hydrodynamic processes in the stern area. The quality of the modeling results depends on the mathematical models used. Turbulence arising from the rotation of the propeller is described using a special turbulence model. Currently, there are three main mathematical models of turbulence: k-ε, k-ω and Reynolds stress equations. The most suitable model can be selected by conducting a numerical experiment. This article presents the results of a numerical experiment aimed at comparing the above turbulence models and their analysis using the example of solving a specific problem.

Keywords: shipping safety, k-ε turbulence model, k-ω turbulence model, mathematical modeling, computational fluid dynamics, Reynolds stress equations

References

1. Patankar S. Numerical methods for solving problems of heat transfer and fluid dynamics / Per. from English. – M.: Energoatomizdat, 1984. – 152 p.
2. Launder, B.E.; Spalding, D.B. (March 1974). "The numerical computation of turbulent flows". Computer Methods in Applied Mechanics and Engineering. 3 (2): 269–289. DOI:10.1016/0045-7825(74)90029-2.

3. Bradshaw, P. (1971), An introduction to turbulence and its measurement, Pergamon Press, ISBN 0080166210

4. An Introduction to Computational Fluid Dynamics: The Finite Volume Method (2nd Edition)', H. Versteeg, W. Malalasekera; Pearson Education Limited; 2007; ISBN 0131274988

5. Wilcox, D. C. (2008), "Formulation of the k–ω Turbulence Model Revisited", AIAA Journal, 46 (11): 2823–2838, Bibcode:2008AIAAJ..46.2823W, doi:10.2514/1.36541

6. Launder, Brian Edward and Reece, G Jr and Rodi, W (1975). "Progress in the development of a Reynolds-stress turbulence closure". Journal of Fluid Mechanics. 68 (3): 537–566. Bibcode:1975JFM....68..537L. doi:10.1017/s0022112075001814. S2CID 14318348.

7. Организация и математическое планирование эксперимента: учебное пособие / Ю.В. Юдин, М.В. Майсурадзе, Ф.В. Водолазский. — Екатеринбург: Изд-во Урал. ун-та, 2018.— 124 с.

Author Biography

Sergey S. Gerasimov , Volga State Unuversity of Water Transport, Nizhny Novgorod, Russia

postgraduate student of the Department of Waterways and Hydraulic Structures, Volga State University of Water Transport, 5, Nesterov st, Nizhny Novgorod, 603951

Selection of a turbulence model in mathematical modeling of propeller operation

Abstract

References

Author Biography