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.

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