## Abstract

In this work we deal with the problem of flow around a marine propeller rotating with constant angular velocity in a stream of uniform velocity parallel with propeller's axis (open-water of operation). The flow is considered to be inviscid, incompressible and irrotational except from the wake, which an a-priori unknown force-free vortex sheet surface emanating from the trailing edge of each blade. In this setting, the problem can be formulated as a Fredholm Boundary Integral Equation of the 2nd kind with respect to the strength of normal dipoles distributed over the propeller's boundary and the wake [2]. This BIE is accompanied by conditions on the wake, namely no flow and no pressure jump across it, as well as appropriate conditions for vanishing disturbance at infinity [1]. Adopting the concept of Isogeometric Analysis (IGA), the solution of

the continuous problem is approximated via a discrete space involving a bicubic T-spline basis used for representing the propeller's boundary surface. The resulting non-linear system is solved iteratively so that the shape of the wake secures zero-pressure jump through it (wake alignment) [3]. Using an in-house developed code, the proposed IGA-BEM scheme is tested against simple (e.g., cycloid) blade shapes and its performance is compared with results available in pertinet literature.

the continuous problem is approximated via a discrete space involving a bicubic T-spline basis used for representing the propeller's boundary surface. The resulting non-linear system is solved iteratively so that the shape of the wake secures zero-pressure jump through it (wake alignment) [3]. Using an in-house developed code, the proposed IGA-BEM scheme is tested against simple (e.g., cycloid) blade shapes and its performance is compared with results available in pertinet literature.

Original language | English |
---|---|

Number of pages | 22 |

Publication status | Published - 13 Sept 2017 |

Event | IGA 2017 - V International Conference on Isogeometric Analysis - Pavia, Italy Duration: 11 Sept 2017 → 13 Sept 2017 http://congress.cimne.com/IGA2017/frontal/default.asp |

### Conference

Conference | IGA 2017 - V International Conference on Isogeometric Analysis |
---|---|

Country/Territory | Italy |

City | Pavia |

Period | 11/09/17 → 13/09/17 |

Internet address |

## Keywords

- isogeometric analysis (IGA)
- boundary element methods (BEM)
- open-water marine propeller flow problem
- steady state problem
- perturbation potential
- boundary integral equation
- zero pressure jump
- Kutta