A B-spline based higher order panel method for analysis of steady flow around marine propellers

A B-spline based higher order panel method (hereinafter, HiPan) is developed for the motion of bodies in ideal fluid, either of infinite extent or with free boundary surface. In this method, both the geometry and the potential are represented by B-splines, and it guarantees more accurate results than most potential based panel methods. In the present work, we apply the HiPan, which differs with the works at MIT in evaluating the induction integrals, to two major marine hydrodynamic problems: analysis of propulsive performance of the marine propellers and the motion of the floating bodies on the free surface. The present HiPan is shown superior to the constant panel method (hereinafter, CoPan) in predicting flow quantities in the area of the thin trailing edge and blade tip of the propeller. Numerical results are validated by comparison with experimental measurements.

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Analysis of Steady Flow Around a Two-Dimensional Body Under the Free Surface Using B-Spline Based Higher Order Panel Method

Journal of the Society of Naval Architects of Korea ◽

10.3744/snak.2002.39.1.008 ◽

2002 ◽

Vol 39 (1) ◽

pp. 8-15

Author(s):

Jae-Moon Lew ◽

Yang-Ik Kim

Keyword(s):

Free Surface ◽

Steady Flow ◽

Higher Order ◽

Panel Method ◽

Two Dimensional ◽

B Spline

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Wake Roll-up Modeling and Steady Hydrodynamic Analysis of Marine Propellers Using a B-Spline Based Higher-Order Panel Method

Journal of the Society of Naval Architects of Korea ◽

10.3744/snak.2008.45.4.353 ◽

2008 ◽

Vol 45 (4) ◽

pp. 353-360 ◽

Cited By ~ 1

Author(s):

Byoung-Kwon Ahn ◽

Gun-Do Kim ◽

Chang-Sup Lee

Keyword(s):

Higher Order ◽

Panel Method ◽

Hydrodynamic Analysis ◽

B Spline ◽

Marine Propellers

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Improved hydrodynamic analysis of marine propellers using a B-spline-based higher-order panel method

Journal of Marine Science and Technology ◽

10.1007/s00773-015-0320-7 ◽

2015 ◽

Vol 20 (4) ◽

pp. 670-678 ◽

Cited By ~ 5

Author(s):

Gun-Do Kim ◽

Byoung-Kwon Ahn ◽

Ji-Hye Kim ◽

Chang-Sup Lee

Keyword(s):

Higher Order ◽

Panel Method ◽

Hydrodynamic Analysis ◽

B Spline ◽

Marine Propellers

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A B-Spline Higher-Order Panel Method Applied to Two-Dimensional Lifting Problem

Journal of Ship Research ◽

10.5957/jsr.2003.47.4.290 ◽

2003 ◽

Vol 47 (04) ◽

pp. 290-298

Author(s):

Chang-Sup Lee ◽

Justin E. Kerwin

Keyword(s):

Present Method ◽

Gaussian Quadrature ◽

Solution Process ◽

Higher Order ◽

Panel Method ◽

Pressure Jump ◽

Two Dimensional ◽

Kutta Condition ◽

B Spline ◽

Panel Methods

A higher-order panel method based on B-spline representation for both the geometry and the solution is developed for the solution of the flow around two-dimensional lifting bodies. The influence functions due to the normal dipole and the source are separated into the singular and nonsingular parts; then the former is integrated analytically, whereas the latter is integrated using Gaussian quadrature. Through a desingularization process, the accuracy of the present method can be increased without limit to any order by selecting a proper numerical quadrature. A null pressure jump Kutta condition at the trailing edge is found to be effective in stabilizing the solution process and in predicting the correct solution. Numerical experiments indicate that the present method is robust and predicts the pressure distribution around lifting foils with far fewer panels than existing low-order panel methods.

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Improved Hydrodynamic Analysis of 3-D Hydrofoil and Marine Propeller Using the Potential Panel Method Based on B-Spline Scheme

Symmetry ◽

10.3390/sym11020196 ◽

2019 ◽

Vol 11 (2) ◽

pp. 196 ◽

Cited By ~ 3

Author(s):

Chen-Wei Chen ◽

Ming Li

Keyword(s):

Surface Pressure ◽

Spline Interpolation ◽

Pressure Coefficient ◽

Panel Method ◽

Hydrodynamic Performance ◽

Surface Velocity ◽

B Spline ◽

Marine Propellers ◽

Aspect Ratios ◽

Thrust And Torque

In this paper, the hydrodynamic performance of lift-body marine propellers and hydrofoils is analyzed using a B-spline potential-based panel method. The potential panel method, based on a combination of two singularity elements, is proposed, and a B-spline curve interpolation method is integrated with the interpolation of the corner points and collocation points to ensure accuracy and continuity of the interpolation points. The B-spline interpolation is used for the distribution of the singularity elements on a complex surface to ensure continuity of the results for the intensity of the singular points and to reduce the possibility of abrupt changes in the surface velocity potential to a certain extent. A conventional cubic spline method is also implemented as a comparison of the proposed method. The surface pressure coefficient and lift the performance of 2-D and 3-D hydrofoils of sweepback and dihedral type with different aspect ratios are analyzed to verify the rationality and feasibility of the present method. The surface pressure distribution and coefficients of thrust and torque are calculated for different marine propellers and compared with the experimental data. A parametric study on the propeller wake model was carried out. The validated results show that it is practical to improve the accuracy of hydrodynamic performance prediction using the improved potential panel method proposed.

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