IGA-BEM for 2D lifting flows

Politis, Costas and Ginnis, A.I. and Kostas, Konstantinos and Kaklis, Panagiotis and Chouliaras, Sotirios (2018) IGA-BEM for 2D lifting flows. In: 6th European Conference on Computational Mechanics and 7th European Conference on Computational Fluid Dynamics 2018, 2018-06-11 - 2018-06-15, University of Glasgow.

[thumbnail of Politis-etal-ECCM-ECFD-2018-IGA-BEM-for-2D-lifting-flows]
Text. Filename: Politis_etal_ECCM_ECFD_2018_IGA_BEM_for_2D_lifting_flows.pdf
Accepted Author Manuscript

Download (104kB)| Preview


Combining Iso-Geometric Analysis (IGA) with Boundary Element Methods (BEM) for 2D hydrofoils, moving with constant speed in an ideal fluid of infinite extent, imposes a number of difficulties. Firstly, an IGABEM collocation scheme has to take into account the unit-tangent-vector discontinuity occurring along the trailing edge (TE). More important, the scheme has to handle the Kutta condition, securing continuity of the normal velocity and pressure through the a-priori unknown wake, a force-free boundary surface emanating from the TE. In this presentation we shall present and compare a number of IGABEM collocation schemes that employ different types of Kutta conditions, starting from the so-called Morino-Kutta condition [1] and opting for more complex ones, imposing a-priori zero-pressure jump at the TE. Comparisons will include the behavior of the pressure coefficient in the neighborhood of the TE as well as circulation's convergence rate.