Аннотация:The fundamental property of the added masses tensor in a viscous incompressible fluid is discussed and demonstrated by numerical simulation of bodies’ movement in a viscous liquid based on Navies-Stokes equations. It is confirmed that the tensor of the added masses is independent of viscosity and is the same as in potential flows of an ideal fluid. The stable numerical scheme is proposed for solving the tasks of fluid structure interaction in the case of light bodies with great added masses. This work is partially supported by the Russian Foundation for Basic Research (project 18-31-20057).References[1]Lamb H. Hydrodynamics. Cambridge University Press. 1895 [2]Corkery S.J., Babinsky H. And Graham W.R. Quantification of added-mass effects using particle image velocimetry data for a translating and rotating flat plate. Journal of Fluid Mechanics, 2019-07-10 DOI: 10.1017/jfm.2019.231[3]Fischer P., Schmitt M., Tomboulides A. Recent Developments in Spectral Element Simulations of Moving-Domain Problems. In: Melnik R., Makarov R., Belair J. (eds) Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science. Fields Institute Communications, vol 79. Springer, New York, NY. 2017. DOI https://doi.org/10.1007/978-1-4939-6969-2_7 [4]Dynnikova G.Y. Added mass in a model of a viscous incompressible fluid. Doklady Physics. 2019. Vol. 64, no. 10. P. 397–400. DOI: https://doi.org/10.1134/S1028335819100045[5]Guvernyuk S. V., Dynnikova G. Y. Modeling the flow past an oscillating airfoil by the method of viscous vortex domains // Fluid Dynamics. 2007. Vol. 42, no. 1. P. 1–11.[6]Dynnikova G.Y. Calculation of flow around a circular cylinder on the basis of two-dimensional Navier-Stokes equations at large Reynolds numbers with high resolution in a boundary layer // Doklady Physics. 2008. Vol. 53, no. 10. P. 544–547.[7]Andronov P.R., Dynnikov Y.A., Dynnikova G.Ya., Guvernyuk S.V.. Flow-induced oscillations of circular cylinder in a narrow channel. Aerospace Science and Technology. 2019. Vol. 93. № 105348. DOI 10.1016/j.ast.2019.105348
