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

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

Department of Mechanical and Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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

Original language	English
Title of host publication	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
Editors	Antonio Huerta, Eugenio Onate, Xavier Oliver
Publisher	International Center for Numerical Methods in Engineering
Pages	2433-2444
Number of pages	12
ISBN (Electronic)	9788494284472
Publication status	Published - Jul 1 2014
Event	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 Duration: Jul 20 2014 → Jul 25 2014

Publication series

Name	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

Other

Other	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
Country	Spain
City	Barcelona
Period	7/20/14 → 7/25/14

Keywords

Isogeometric Analysis
Lifting flows
NURBS
Potential flows

ASJC Scopus subject areas

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

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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 A. Huerta, E. Onate, & X. Oliver (Eds.), 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). (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.

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. ed. / Antonio Huerta; Eugenio Onate; Xavier Oliver. International Center for Numerical Methods in Engineering, 2014. p. 2433-2444 (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).

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 A Huerta, E Onate & X Oliver (eds), 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. 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 Huerta A, Onate E, Oliver X, editors, 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. (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).

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. editor / Antonio Huerta ; Eugenio Onate ; Xavier Oliver. International Center for Numerical Methods in Engineering, 2014. pp. 2433-2444 (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).

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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.

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