Uniform flow past a closed body at low Reynolds number employing a novel matching in a boundary element formulation

Dang, BC; Chadwick, EA

Abstract

Consider a two dimensional steady low Reynolds number flow past a circular cylinder. A boundary integral representation that matches an outer Oseen flow and inner Stokes flow is given, and the matching error is shown to be smallest when the outer domain is as close as possible to the body. Also, it is shown that as the Greenâs function is approached, the oseenlet becomes the stokeslet to leading order and has the same order of magnitude error as the matching error. This means a novel boundary integral representation in terms of oseenlets is possible. To test this, a corresponding boundary element code is developed which uses point collocation weighting functions, linear shape functions, two-point Gaussian quadrature with analytic removal of the Greenâs function singularity for the integrations. The method is compared against various methods for the benchmark problem of flow past a circular cylinder. In particular, the drag coefficient is used for the comparison. The advantage of this method over existing ones is demonstrated and discussed particularly in the Reynolds number range

R
e
=
1
∼
4

.

Citation

Dang, B., & Chadwick, E. (2020). Uniform flow past a closed body at low Reynolds number employing a novel matching in a boundary element formulation. Engineering Analysis with Boundary Elements, 119, 95-104. https://doi.org/10.1016/j.enganabound.2020.07.008

• Journal Article Type: Article
• Acceptance Date: Jul 13, 2020
• Online Publication Date: Jul 21, 2020
• Publication Date: Jul 21, 2020
• Deposit Date: Aug 11, 2020
• Publicly Available Date: Jul 21, 2021
• Journal: Engineering Analysis with Boundary Elements
• Print ISSN: 0955-7997
• Publisher: Elsevier
• Volume: 119
• Pages: 95-104
• DOI: https://doi.org/10.1016/j.enganabound.2020.07.008
• Publisher URL: https://doi.org/10.1016/j.enganabound.2020.07.008
• Related Public URLs: http://www.journals.elsevier.com/engineering-analysis-with-boundary-elements/
• Additional Information: Additional Information : ** Article version: AM ** Embargo end date: 21-07-2022 ** From Elsevier via Jisc Publications Router ** Licence for AM version of this article starting on 21-07-2022: http://creativecommons.org/licenses/by-nc-nd/4.0/ **Journal IDs: issn 09557997 **History: issue date 31-10-2020; published_online 21-07-2020; accepted 13-07-2020