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Title: Radial rasis function for non-matching mesh interpolation in parallel solving FSI problem

Authors: Sergey Kopysov; Igor Kuzmin; Alexander Novikov; Nikita Nedozhogin; Leonid Tonkov

Addresses: Laboratory of Computing Technologies, Udmurt Federal Research Center, The Ural Branch of the Russian Academy of Sciences, Izhevsk, Russia ' Laboratory of Computing Technologies, Udmurt Federal Research Center, The Ural Branch of the Russian Academy of Sciences, Izhevsk, Russia ' Laboratory of Computing Technologies, Udmurt Federal Research Center, The Ural Branch of the Russian Academy of Sciences, Izhevsk, Russia ' Laboratory of Computing Technologies, Udmurt Federal Research Center, The Ural Branch of the Russian Academy of Sciences, Izhevsk, Russia ' Department of Computational Mechanics, Institute of Mathematics, Information Technologies and Physics, Udmurt State University, Izhevsk, 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.

Keywords: parallel computing; hybrid HPC platforms; fluid-structure interaction; FSI; radial basis functions; RBF; layer-by-layer partitioning.

DOI: 10.1504/IJESMS.2019.098910

International Journal of Engineering Systems Modelling and Simulation, 2019 Vol.11 No.1, pp.19 - 25

Received: 11 Sep 2017
Accepted: 03 Oct 2018

Published online: 28 Mar 2019 *

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