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.

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Abstract

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.

ORCID iDs

Politis, Costas, Ginnis, A.I., Kostas, Konstantinos, Kaklis, Panagiotis ORCID logoORCID: https://orcid.org/0000-0002-1843-8815 and Chouliaras, Sotirios;