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

6 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-refinement is performed and compared with classical low-order panel methods.

Original languageEnglish
Title of host publication11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014
PublisherInternational Center for Numerical Methods in Engineering
Pages2433-2444
Number of pages12
ISBN (Print)9788494284472
Publication statusPublished - Jul 1 2014
Externally publishedYes
EventJoint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014 - Barcelona, Spain
Duration: Jul 20 2014Jul 25 2014

Other

OtherJoint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014
CountrySpain
CityBarcelona
Period7/20/147/25/14

Fingerprint

Hydrofoils
Potential flow
Boundary element method
Boundary integral equations
Error analysis

Keywords

  • Isogeometric Analysis
  • Lifting flows
  • NURBS
  • Potential flows

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Theory and Mathematics
  • Computer Science Applications
  • Mechanical Engineering

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 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014 (pp. 2433-2444). International Center for Numerical Methods in Engineering.

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 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014. International Center for Numerical Methods in Engineering, 2014. p. 2433-2444.

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

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 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014. International Center for Numerical Methods in Engineering, pp. 2433-2444, Joint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014, Barcelona, Spain, 7/20/14.
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 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014. International Center for Numerical Methods in Engineering. 2014. p. 2433-2444
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 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014. International Center for Numerical Methods in Engineering, 2014. pp. 2433-2444
@inproceedings{8c0e26a1a4e94728b2cc2caa1044eb52,
title = "An isogeometric BEM for exterior potential-flow problems around lifting bodies",
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-refinement is performed and compared with classical low-order panel methods.",
keywords = "Isogeometric Analysis, Lifting flows, NURBS, Potential flows",
author = "Politis, {C. G.} and A. Papagiannopoulos and Belibassakis, {K. A.} and Kaklis, {P. D.} and Kostas, {K. V.} and Ginnis, {A. I.} and Gerostathis, {T. P.}",
year = "2014",
month = "7",
day = "1",
language = "English",
isbn = "9788494284472",
pages = "2433--2444",
booktitle = "11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014",
publisher = "International Center for Numerical Methods in Engineering",

}

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 - 2014/7/1

Y1 - 2014/7/1

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-refinement 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-refinement is performed and compared with classical low-order panel methods.

KW - Isogeometric Analysis

KW - Lifting flows

KW - NURBS

KW - Potential flows

UR - http://www.scopus.com/inward/record.url?scp=84923974471&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84923974471&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9788494284472

SP - 2433

EP - 2444

BT - 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014

PB - International Center for Numerical Methods in Engineering

ER -