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 Matem. Mod., 2021, Volume 33, Number 8, Pages 59–82 (Mi mm4312)

Simulation of flow near rotating propeller on adaptive unstructured meshes using immersed boundary method

V. O. Tsvetkovaa, I. V. Abalakina, V. G. Bobkova, N. S. Zhdanovaa, T. K. Kozubskayaa, L. N. Kudryavtsevaba

a Keldysh Institute of Applied Mathematics RAS
b Dorodnicyn Computing Centre, Federal Research Center “Computer Science and Control” RAS

Abstract: The paper presents a method for simulating the flow of a viscous compressible gas around a moving body on a simply connected unstructured mesh which is possible thanks to using the immersed boundary method, and the features of its application for computing the flow around a rotating propeller in two-dimensional formulation. An important part of the method is the adaptation of a moving mesh, that retains its topology, to the surface of the streamlined body. The position and shape of the body are set by the interpolation grid, which stores the distance to the body surface, and the normal to the surface. The technique is used to simulate the flow around a rotating propeller in a flow in twodimensional formulation. The shape of the propeller has areas of high curvature that requires a special approach when adapting to the boundaries. The paper presents the results of simulating the flow around a rotating propeller, as well as a few auxiliary problems considered to verify the developed method.

Keywords: computational fluid dynamics, unstructured mesh, immersed boundary method, mesh adaptation, moving mesh, interpolation grid, rotating propeller.

 Funding Agency Grant Number Russian Science Foundation 20-41-09018

DOI: https://doi.org/10.20948/mm-2021-08-04

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Revised: 14.04.2021
Accepted:19.04.2021

Citation: V. O. Tsvetkova, I. V. Abalakin, V. G. Bobkov, N. S. Zhdanova, T. K. Kozubskaya, L. N. Kudryavtseva, “Simulation of flow near rotating propeller on adaptive unstructured meshes using immersed boundary method”, Matem. Mod., 33:8 (2021), 59–82

Citation in format AMSBIB
\Bibitem{TsvAbaBob21} \by V.~O.~Tsvetkova, I.~V.~Abalakin, V.~G.~Bobkov, N.~S.~Zhdanova, T.~K.~Kozubskaya, L.~N.~Kudryavtseva \paper Simulation of flow near rotating propeller on adaptive unstructured meshes using immersed boundary method \jour Matem. Mod. \yr 2021 \vol 33 \issue 8 \pages 59--82 \mathnet{http://mi.mathnet.ru/mm4312} \crossref{https://doi.org/10.20948/mm-2021-08-04}