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This article is cited in 1 scientific paper (total in 1 paper)
Radial basis function for parallel mesh-to-mesh interpolation in solving fluid-structure interaction problem
S. P. Kopysovab, I. M. Kuz'mina, N. S. Nedozhogina, A. K. Novikova, L. E. Tonkova a Udmurt Federal Research Center of the Ural Branch of the Russian Academy of Sciences, ul. T. Baramzinoi, 34, Izhevsk, 426067, Russia
b Department of Computational Mechanics, Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia
Abstract:
In strongly coupled fluid-structure interaction simulations, the fluid dynamics and solid dynamics problems are solved independently on their own meshes. Therefore, it becomes necessary to interpolate the physical properties (pressure, displacement) across two meshes. In the present paper, we propose to accelerate the interpolation process by the method of radial basis functions using the matrix-free solution of the system of equations on a GPU. Also, we reduce the number of equations in the system by using an adaptive algorithm for choosing interpolation points. The adaptive algorithm allows to reduce the number of equations of the interpolation system while preserving the quality of the interpolation. Estimation of the effectiveness of reducing the computational costs based on the matrix-free approach to solving the system, as well as evaluating the quality of interpolation, was carried out using the simulation of the problem of modeling the flow of fluid with a supersonic deformable nozzle.
Keywords:
parallel computing, hybrid HPC platforms, fluid-structure interaction, radial basis functions, layer-by-layer partitioning.
Received: 12.05.2018
Citation:
S. P. Kopysov, I. M. Kuz'min, N. S. Nedozhogin, A. K. Novikov, L. E. Tonkov, “Radial basis function for parallel mesh-to-mesh interpolation in solving fluid-structure interaction problem”, Izv. IMI UdGU, 51 (2018), 42–51
Linking options:
https://www.mathnet.ru/eng/iimi353 https://www.mathnet.ru/eng/iimi/v51/p42
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