IGA-BEM for lifting flows

Chouliaras, S. and Kaklis, P. and Politis, C. G. and Ginnis, A. and Kostas, K. V. (2018) IGA-BEM for lifting flows. In: 13th World Congress in Computational Mechanics, 2018-07-27 - 2018-07-27.

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Abstract

Combining Iso-Geometric analysis (IGA) with Boundary Element Methods (BEM) for inviscid lifting flows imposes a number of difficulties. Firstly, an IGABEM collocation scheme has to take into account the tangent-plane discontinuity occurring along the trailing edge (TE). More important, the scheme has to handle the non-linear Kutta condition, securing continuity of the normal velocity and pressure through the a-priori unknown wake, a force-free boundary surface emanating from TE. In this presentation we shall review the status of our work towards developing a pair of IGABEM collocation schemes for computing steady lifting flows around 2D and 3D bodies , e.g., hydrofoils, marine propellers; [1,2]. In the latter case, the ansatz functions are inherited from T-spline representations which are free from singularities occurring, e.g., at the tip of a propeller blade, when NURBS are used. REFERENCES [1] Kostas, K.V., Ginnis, A.-A. I., Politis, C.G., Kaklis, P.D, “Shape-optimization of 2D hydrofoils using an Isogeometric BEM solver”, Computer-Aided Design, vol. 82, pp. 79-87, (2017). [2] Chouliaras, S.P., Kaklis, P.D., Ginnis, A.-A.I., Kostas, K.V., Politis, C.G., “An IGA-BEM method for the open-water marine propeller flow problem”, International Conference on Isogeometric Analysis, Pavia (IT), 11-13 September 2017.

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