An isogeometric BEM for exterior potential-flow problems around lifting bodies

C.G Politis, A. Papagiannopoulos, K.A. Belibassakis, P. D. Kaklis, K.V. Kostas, A. I. Ginnis, T. P. Gerostathis

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

7 Citations (Scopus)

Abstract

In this paper, the Isogeometric Analysis (IGA) concept is combined with the Boundary Element Method (BEM) for solving the exterior Neumann problem associated with the steady lifting flow around a hydrofoil. The formulation of the problem is based on a Boundary Integral Equation for the associated velocity potential combined with the null-pressure jump Kutta condition at the trailing edge. The developed Isogeometric-BEM is based on a parametric NURBS representation of the hydrofoil and employs the very same basis for representing the velocity potential. The Boundary Integral Equation is numerically solved by collocating at the Greville abscissas of the knot vector of the hydrofoil's parametric representation. Numerical error analysis of the Isogeometric-BEM using h-renement is performed and compared with classical low-order panel methods.
LanguageEnglish
Title of host publication11th World Congress on Computational Mechanics (WCCM XI)
Subtitle of host publication5th European Conference on Computational Mechanics (ECCM V) -- 6th European Conference on Computational Fluid Dynamics (ECFD VI)
EditorsE. Onate, J. Oliver, A. Huerta
Place of PublicationBarcelona, Spain
Pages2433-2444
Number of pages12
VolumeIII
Publication statusPublished - Jul 2014

Fingerprint

Hydrofoils
Potential Flow
Potential flow
Boundary element method
Boundary Elements
Boundary integral equations
Boundary Integral Equations
Isogeometric Analysis
Panel Method
NURBS
Parametric Representation
Exterior Problem
Neumann Problem
Error Analysis
Error analysis
Knot
Null
Numerical Analysis
Jump
Formulation

Keywords

  • isogeometric analysis
  • NURBS
  • potential flows
  • lifting flows

Cite this

Politis, C. G., Papagiannopoulos, A., Belibassakis, K. A., Kaklis, P. D., Kostas, K. V., Ginnis, A. I., & Gerostathis, T. P. (2014). An isogeometric BEM for exterior potential-flow problems around lifting bodies. In E. Onate, J. Oliver, & A. Huerta (Eds.), 11th World Congress on Computational Mechanics (WCCM XI) : 5th European Conference on Computational Mechanics (ECCM V) -- 6th European Conference on Computational Fluid Dynamics (ECFD VI) (Vol. III, pp. 2433-2444). Barcelona, Spain.
Politis, C.G ; Papagiannopoulos, A. ; Belibassakis, K.A. ; Kaklis, P. D. ; Kostas, K.V. ; Ginnis, A. I. ; Gerostathis, T. P. / An isogeometric BEM for exterior potential-flow problems around lifting bodies. 11th World Congress on Computational Mechanics (WCCM XI) : 5th European Conference on Computational Mechanics (ECCM V) -- 6th European Conference on Computational Fluid Dynamics (ECFD VI). editor / E. Onate ; J. Oliver ; A. Huerta. Vol. III Barcelona, Spain, 2014. pp. 2433-2444
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abstract = "In this paper, the Isogeometric Analysis (IGA) concept is combined with the Boundary Element Method (BEM) for solving the exterior Neumann problem associated with the steady lifting flow around a hydrofoil. The formulation of the problem is based on a Boundary Integral Equation for the associated velocity potential combined with the null-pressure jump Kutta condition at the trailing edge. The developed Isogeometric-BEM is based on a parametric NURBS representation of the hydrofoil and employs the very same basis for representing the velocity potential. The Boundary Integral Equation is numerically solved by collocating at the Greville abscissas of the knot vector of the hydrofoil's parametric representation. Numerical error analysis of the Isogeometric-BEM using h-renement is performed and compared with classical low-order panel methods.",
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Politis, CG, Papagiannopoulos, A, Belibassakis, KA, Kaklis, PD, Kostas, KV, Ginnis, AI & Gerostathis, TP 2014, An isogeometric BEM for exterior potential-flow problems around lifting bodies. in E Onate, J Oliver & A Huerta (eds), 11th World Congress on Computational Mechanics (WCCM XI) : 5th European Conference on Computational Mechanics (ECCM V) -- 6th European Conference on Computational Fluid Dynamics (ECFD VI). vol. III, Barcelona, Spain, pp. 2433-2444.

An isogeometric BEM for exterior potential-flow problems around lifting bodies. / Politis, C.G; Papagiannopoulos, A. ; Belibassakis, K.A.; Kaklis, P. D.; Kostas, K.V.; Ginnis, A. I.; Gerostathis, T. P.

11th World Congress on Computational Mechanics (WCCM XI) : 5th European Conference on Computational Mechanics (ECCM V) -- 6th European Conference on Computational Fluid Dynamics (ECFD VI). ed. / E. Onate; J. Oliver; A. Huerta. Vol. III Barcelona, Spain, 2014. p. 2433-2444.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

TY - GEN

T1 - An isogeometric BEM for exterior potential-flow problems around lifting bodies

AU - Politis, C.G

AU - Papagiannopoulos, A.

AU - Belibassakis, K.A.

AU - Kaklis, P. D.

AU - Kostas, K.V.

AU - Ginnis, A. I.

AU - Gerostathis, T. P.

PY - 2014/7

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N2 - In this paper, the Isogeometric Analysis (IGA) concept is combined with the Boundary Element Method (BEM) for solving the exterior Neumann problem associated with the steady lifting flow around a hydrofoil. The formulation of the problem is based on a Boundary Integral Equation for the associated velocity potential combined with the null-pressure jump Kutta condition at the trailing edge. The developed Isogeometric-BEM is based on a parametric NURBS representation of the hydrofoil and employs the very same basis for representing the velocity potential. The Boundary Integral Equation is numerically solved by collocating at the Greville abscissas of the knot vector of the hydrofoil's parametric representation. Numerical error analysis of the Isogeometric-BEM using h-renement is performed and compared with classical low-order panel methods.

AB - In this paper, the Isogeometric Analysis (IGA) concept is combined with the Boundary Element Method (BEM) for solving the exterior Neumann problem associated with the steady lifting flow around a hydrofoil. The formulation of the problem is based on a Boundary Integral Equation for the associated velocity potential combined with the null-pressure jump Kutta condition at the trailing edge. The developed Isogeometric-BEM is based on a parametric NURBS representation of the hydrofoil and employs the very same basis for representing the velocity potential. The Boundary Integral Equation is numerically solved by collocating at the Greville abscissas of the knot vector of the hydrofoil's parametric representation. Numerical error analysis of the Isogeometric-BEM using h-renement is performed and compared with classical low-order panel methods.

KW - isogeometric analysis

KW - NURBS

KW - potential flows

KW - lifting flows

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M3 - Conference contribution book

SN - 9788494284472

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BT - 11th World Congress on Computational Mechanics (WCCM XI)

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A2 - Oliver, J.

A2 - Huerta, A.

CY - Barcelona, Spain

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Politis CG, Papagiannopoulos A, Belibassakis KA, Kaklis PD, Kostas KV, Ginnis AI et al. An isogeometric BEM for exterior potential-flow problems around lifting bodies. In Onate E, Oliver J, Huerta A, editors, 11th World Congress on Computational Mechanics (WCCM XI) : 5th European Conference on Computational Mechanics (ECCM V) -- 6th European Conference on Computational Fluid Dynamics (ECFD VI). Vol. III. Barcelona, Spain. 2014. p. 2433-2444