Aplicación de curvas B-Splines cúbicas para el mallado de cascos
DOI:
https://doi.org/10.25043/19098642.215Palabras clave:
curvas B-Spline cúbicas, malla del casco, malla de paneles cuadrilaterales, teorema de la divergenciaResumen
El presente artículo describe un código computacional, desarrollado para la elaboración de mallas regulares de cascos utilizando cuvas B-Splines cúbicas. El procedimiento de mallado comienza con la definición de curvas B-Spline, en el sentido transversal del casco, sobre las estaciones y los contornos de la proa y popa de un plano de líneas de forma. Por medio de estas curvas B-Spline es posible la creación de nuevos puntos igualmente espaciados en las regiones donde fueron definidas. Posteriormente, con estos puntos son trazadas curvas B-Spline cúbicas en el sentido longitudinal del casco, las cuales son utilizadas para obtener puntos igualmente espaciados, que permiten la creación de nuevas estaciones. Finalmente, los puntos transversales y longitudinales son utilizados para formar los paneles cuadrilaterales de la malla del casco. Este procedimiento es aplicado en los cascos sumergidos del modelo de casco Wigley y Serie 60 Cb=0.60. Los volumenes de estas mallas son calculados usando el teorema de la divergencia para servir como parametro de control de la calidad de la malla.
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Referencias bibliográficas
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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