Ship-hull shape optimization with a T-spline based BEM-isogeometric solver

K. V. Kostas, A. I. Ginnis, C. G. Politis, P. D. Kaklis

Research output: Contribution to journalArticle

  • 34 Citations

Abstract

In this work, we present a ship-hull optimization process combining a T-spline based parametric ship-hull model and an Isogeometric Analysis (IGA) hydrodynamic solver for the calculation of ship wave resistance. The surface representation of the ship-hull instances comprise one cubic T-spline with extraordinary points, ensuring C2 continuity everywhere except for the vicinity of extraordinary points where G1 continuity is achieved. The employed solver for ship wave resistance is based on the Neumann-Kelvin formulation of the problem, where the resulting Boundary Integral Equation is numerically solved using a higher order collocated Boundary Element Method which adopts the IGA concept and the T-spline representation for the ship-hull surface. The hydrodynamic solver along with the ship parametric model are subsequently integrated within an appropriate optimization environment for local and global ship-hull optimizations against the criterion of minimum resistance.

LanguageEnglish
Pages611-622
Number of pages12
JournalComputer Methods in Applied Mechanics and Engineering
Volume284
Early online date27 Oct 2014
DOIs
StatePublished - 1 Feb 2015

Fingerprint

ship hulls
shape optimization
Shape optimization
splines
Splines
Ships
wave resistance
ships
continuity
optimization
hydrodynamics
boundary element method
Hydrodynamics
integral equations
Boundary integral equations
formulations
Boundary element method

Keywords

  • shape-optimization
  • ship-hull
  • T-splines
  • wave-resistance
  • boundary element method

Cite this

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abstract = "In this work, we present a ship-hull optimization process combining a T-spline based parametric ship-hull model and an Isogeometric Analysis (IGA) hydrodynamic solver for the calculation of ship wave resistance. The surface representation of the ship-hull instances comprise one cubic T-spline with extraordinary points, ensuring C2 continuity everywhere except for the vicinity of extraordinary points where G1 continuity is achieved. The employed solver for ship wave resistance is based on the Neumann-Kelvin formulation of the problem, where the resulting Boundary Integral Equation is numerically solved using a higher order collocated Boundary Element Method which adopts the IGA concept and the T-spline representation for the ship-hull surface. The hydrodynamic solver along with the ship parametric model are subsequently integrated within an appropriate optimization environment for local and global ship-hull optimizations against the criterion of minimum resistance.",
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Ship-hull shape optimization with a T-spline based BEM-isogeometric solver. / Kostas, K. V.; Ginnis, A. I.; Politis, C. G.; Kaklis, P. D.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 284, 01.02.2015, p. 611-622.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Ship-hull shape optimization with a T-spline based BEM-isogeometric solver

AU - Kostas,K. V.

AU - Ginnis,A. I.

AU - Politis,C. G.

AU - Kaklis,P. D.

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AB - In this work, we present a ship-hull optimization process combining a T-spline based parametric ship-hull model and an Isogeometric Analysis (IGA) hydrodynamic solver for the calculation of ship wave resistance. The surface representation of the ship-hull instances comprise one cubic T-spline with extraordinary points, ensuring C2 continuity everywhere except for the vicinity of extraordinary points where G1 continuity is achieved. The employed solver for ship wave resistance is based on the Neumann-Kelvin formulation of the problem, where the resulting Boundary Integral Equation is numerically solved using a higher order collocated Boundary Element Method which adopts the IGA concept and the T-spline representation for the ship-hull surface. The hydrodynamic solver along with the ship parametric model are subsequently integrated within an appropriate optimization environment for local and global ship-hull optimizations against the criterion of minimum resistance.

KW - shape-optimization

KW - ship-hull

KW - T-splines

KW - wave-resistance

KW - boundary element method

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