Thesis
An isogeometric boundary element method for three-dimensional lifting flows
- Creator
- Rights statement
- Awarding institution
- University of Strathclyde
- Date of award
- 2020
- Thesis identifier
- T15776
- Person Identifier (Local)
- 201652273
- Qualification Level
- Qualification Name
- Department, School or Faculty
- Abstract
- In this PhD thesis an Isogeometric Boundary Element Method (IGA-BEM) for three dimensional steady lifting flows based on Morino's [50] formulation is presented. A potential flow assumption is used and the unknown perturbation potential satisfies Laplace's equation. Application of Green's identities leads to a Boundary Integral Equation (BIE) that is enhanced with kinematic and dynamic boundary conditions.;Analysis suitable T-splines are used for the representation of all boundary surfaces and the unknown perturbation potential is approximated by the same T-spline basis as the one used for the geometry. The BIE is discretised by enforcing it on the generalised version of Greville points for unstructured T-meshes. A novel numerical application of the so-called Kutta condition is introduced that utilises the advantages of IGA with regard to the smoothness of the trailing edge curve basis functions.;This leads to a quadratic system that is solved by a Newton-Raphson iterative scheme. The method is applied for three different test cases and shows good agreement with existing experimental results and superior behaviour when compared to a low order panel method.The effect of the tip singularity on Kutta condition is also investigated for different levels of refinement and positions of the trailing edge collocation points.
- Advisor / supervisor
- Kaklis, Panagiotis
- Resource Type
- DOI
- Date Created
- 2020
- Former identifier
- 9912939993502996
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