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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.

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.

Original language | English |
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Pages | 1-23 |

Number of pages | 22 |

Publication status | Published - 27 Jul 2018 |

Event | 13th World Congress in Computational Mechanics : Symposium to Honor Professor Thomas J.R. Hughes on his 75th Birthday [invitation only] - New York City, United States Duration: 27 Jul 2018 → 27 Jul 2018 Conference number: 101 http://www.wccm2018.org/T_100 |

### Conference

Conference | 13th World Congress in Computational Mechanics |
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Country/Territory | United States |

City | New York City |

Period | 27/07/18 → 27/07/18 |

Internet address |

## Keywords

- computational mechanics
- fluid mechanics
- propeller blades
- propulsion

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