Simulation of the Flow near a Rotating Propeller on Adaptive Unstructured Meshes Using the Immersed Boundary Method

A method is presented for modeling the flow of a viscous compressible gas around a moving body on a simply connected unstructured mesh, which is possible when using the immersed boundary method, and the features of its application for calculating the flow around a rotating propeller. An important pa...

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Bibliographic Details
Published in:Mathematical models and computer simulations 2022, Vol.14 (2), p.224-240
Main Authors: Tsvetkova, V. O., Abalakin, I. V., Bobkov, V. G., Zhdanova, N. S., Kozubskaya, T. K., Kudryavtseva, L. N.
Format: Article
Language:English
Subjects:
Compressibility
Finite element method
Interpolation
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Rotation
Simulation and Modeling
Streamlined bodies
Topology
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Summary:A method is presented for modeling the flow of a viscous compressible gas around a moving body on a simply connected unstructured mesh, which is possible when using the immersed boundary method, and the features of its application for calculating the flow around a rotating propeller. An important part of the method is the adaptation of a mobile mesh that retains its topology to the surface of the streamlined body. The position and shape of the body are specified by an interpolation mesh, which stores the distance to the body surface and the normal to the surface. The method is used to calculate the flow around a propeller rotating in a flow. The problem is considered in a two-dimensional setting. The shape of the propeller has areas of high curvature that require a special approach when adapting to the boundaries. The results of calculating the problem of the flow around a rotating propeller and a number of auxiliary problems considered in order to verify the developed method are presented.
ISSN:2070-0482
2070-0490
DOI:10.1134/S2070048222020168