Sun, SY;
Wu, GX;
(2022)
Inviscid flow passing a lifting body with a higher order boundary element method.
Engineering Analysis with Boundary Elements
, 136
pp. 144-157.
10.1016/j.enganabound.2021.12.012.
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Abstract
A higher order boundary element method (HOBEM) is presented for inviscid flow passing a lifting body. In addition to the boundary integral equation used for the velocity potential, similar integral equation is derived and used for the tangential velocity on the body surface. Higher order elements are used to discretize the body surface, which ensures the continuity of slope at the element nodes. The velocity potential is also expanded using higher order shape function, in which the unknown coefficients involve the tangential velocity. The expansion then ensures the continuity of the velocity at element nodes and it also allows the Kutta condition to be imposed directly through the velocity. A particular shape function is also derived and used near the trailing edge to account for the continuity of the velocity and its sharp variations there. The unknown potential and tangential velocity are then found through solving their integral equations simultaneously. Through extensive comparison of the results for a Karman-Trefftz (KT) foil, it is shown that the present HOBEM is much more accurate than the conventional BEM, in particular for the velocity and local results near the trailing edge.
| Type: | Article |
|---|---|
| Title: | Inviscid flow passing a lifting body with a higher order boundary element method |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.enganabound.2021.12.012 |
| Publisher version: | https://doi.org/10.1016/j.enganabound.2021.12.012 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher's terms and conditions. |
| Keywords: | Higher order boundary element method (HOBEM); Kutta condition; Integral equations for potential and velocity; Hydrofoil |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10142211 |
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