A higher-order panel method based on B-splines and doublet distribution for potential flow calculation of 2D hydrofoil / 利用B木條曲線及偶流計算二維水翼勢流場之高階小板法

碩士 / 國立臺灣大學 / 造船工程學系 / 85 / Panel method is a well-known method for dealing with two
dimensionalpotential flow problems.Due to simplicity,a body
shape is generallyrepresented by a closed polygon.In the present
paper,a body shape is represented by an exact mathematical
formulation or by the open periodicB-spline method.Gaussian
quadradure points and normal vectors needed forthe panel method
are then generated from the two geometrical definitionmethods.
Corresponding to geometrical representations,two methods are
alsoused for doublet distributions:the discrete Gaussian
distribution methodand the continuous B-spline method.Making use
of Dirichlet internal boundarycondition,a method is set up for
solving the doublet strengths in accordance with the geometrical
definitions.The results computed from the presentmethods show
that the Gaussian distribution method offers results with good
accuracy in case of symmetrical bodies while in case of
asymmetricalbodies with angle of attack the accuracy is broken
down.In the B-spline method,both the panel geometry and doublet
distributions are defined by B-spline curve,and the concept of
"sub-panel" is then adopted by splitting a panel at its
collocation point.Numerical results for different foils show
that excellent accuracies can be achieved by this method with
only a few computing point.

Identiferoai:union.ndltd.org:TW/085NTU00345014
Date January 1997
CreatorsLiu, Ren-Wen, 劉人聞
ContributorsKouh Jen-Shieng, 郭真祥
Source SetsNational Digital Library of Theses and Dissertations in Taiwan
Languagezh-TW
Detected LanguageEnglish
Type學位論文 ; thesis
Format64

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