Application of Cubic B-Spline Curves for Hull Meshing

Authors

  • César Augusto Salhua Moreno Federal University of Pernambuco. Recife, Pernambuco, Brazil.

DOI:

https://doi.org/10.25043/19098642.215

Keywords:

cubic B-Spline curves, hull mesh, quadrilateral mesh panel, divergence theorem

Abstract

This paper describes the development of a regular hull meshing code using cubic B-Spline curves. The discretization procedure begins by the definition of B-Spline curves over stations, bow and stern contours of the hull plan lines. Thus, new knots are created applying an equal spaced subdivision procedure on defined B-spline curves. Then, over these equal transversal space knots, longitudinal B-spline curves are defined and subdivided into equally spaced knots, too. Subsequently, new transversal knots are created using the longitudinal equally spaced knots. Finally, the hull mesh is composed by quadrilateral panels formed by these new transversal and longitudinal knots. This procedure is applied in the submerged Wigley hulls Series 60 Cb=0.60. Their mesh volumes are calculated using the divergence theorem, for mesh quality evaluation.

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Author Biography

César Augusto Salhua Moreno, Federal University of Pernambuco. Recife, Pernambuco, Brazil.

Mechanical Engineering Department, Federal University of Pernambuco. Recife, Pernambuco, Brazil.

References

R. L. ALVAREZ and M. R. MARTINS, “Otimização das Formas de Cascos de Deslocamento em Relação a sua Resistência ao Avanço”, in XX Pan-American Conference of Naval Engineering (COPINAVAL), São Paulo, 2007.

CABRAL J., WROBEL L. and BREBBIA C., A BEM formulation using B-splines: II- multiple knots and non-uniform blending functions, Engineering Analysis with Boundary Elements. 1991, vol 7, issue 1.

CABRAL J., WROBEL L. and BREBBIA C., A BEM formulation using B-splines: I- uniform blending functions, Engineering Analysis with Boundary Elements. 1990, vol 7, issue 3.

DE BOOR C., A Practical Guide to Splines, Applied Mathematical Sciences. 2001.

J. J. JOURNEE, “Discrepancies in Hydrodynamic Coefficients of Wigley Hull Forms”, in Proceedings of the 3rd International Conference on Marine Industry (MARIND), Varna, 2001.

S. NAKAMURA, Métodos Numéricos Aplicados com Software. 1th ed. Naucalpan de Juarez, Mexico, Prentice Hall Inc, 1991.

NOWACKI H., Five Decades of Computer-Aided Ship Design, Computer-Aided Design. 2010, vol 42, pp 956-969.

R. F. RIESENFELD, “Applications of B-Spline Approximation to Geometric Problems of Computer Aided Design”, Ph.D. dissertation, Dept. of Systems and Information Science, Syracuse University, NY, 1973.

ROGERS D. F,. “B-Spline Curves and Surfaces for Ship Hull Definition”, in Symposium of Computer Aided Hull Surface Definition (SCAHD), Annapolis, MD, 1973.

C. SALHUA, “Hydrodynamic Interference between Ships with Forward Speed in Waves”, D.Sc. dissertation (in portuguese), Dept. of Naval and Ocean Engineering, Federal University of Rio de Janeiro, RJ, Brazil, 2010.

TODD F.H., Some further experiments on single-screw mechant ships forms - serie 60, SNAME Transaction, 1953.

USHATOV R., POWER H. and Rêgo SILVA J. J., Uniform bicubic B-splines applied to boundary element formulation for 3-D scalar problems, Engineering Analysis with Boundary Elements, 1994, vol 13, pp. 371-381.

VENTURA M. F., “Ship Hull Representation by Non-Uniform Rational B-Spline Surface Patches”, M.Sc. thesis, Dept. of Naval Architecture and Ocean Engineering, Glasgow, UK,1996.

YAMAGUCHI, F. A., A New Curve Fitting Method Using a CRT Computer Display, Comp. Graph and Image Processing. 1978, pp 425-437. Ship Science

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Published

2021-01-31

How to Cite

Salhua Moreno, C. A. (2021). Application of Cubic B-Spline Curves for Hull Meshing. Ciencia Y tecnología De Buques, 14(28), 53–62. https://doi.org/10.25043/19098642.215

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Section

Scientific and Technological Research Articles
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