Analytical approach to Galerkin BEMs on polyhedral surfaces
Warncke, Norbert G. W.1 ; Ciotir, Ioana2 ; Tonnoir, Antoine2 ; Lambert, Zoé2 ; Gout, Christian3
1 Siemens Gamesa Renewable Energy
2 LMI, Normandie Univ., INSA Rouen, 76000 Rouen, France
3 LMI, Normandie Univ., INSA Rouen, 76000 Rouen, France; and Magique 3D - Advanced 3D Numerical Modeling in Geophysics, Inria Bordeaux - Sud-Ouest [Pau], France
The SMAI Journal of computational mathematics, Tome S5 (2019), pp. 27-46.

In this paper, we present a contribution linked to the mini symposium (MS) Mathematical tools in energy industry (organised at Arcachon during the 9th International conference Curves and Surfaces). Boundary Element Methods (BEM) have recently had a renewed interest in the field of wind energy as they allow to model more of the unsteady flow phenomena around wind turbine airfoils than Blade Element Momentum theory. Though being computationally more complex, their costs are still significantly lower than CFD methods, placing them in a sweet-spot for the validation of turbine designs under various conditions (yaw, turbulent wind). Based on the results of Lenoir and Salles ([8, 9]), the aim of this work is to find generalised formulas for some integrals involved in Galerkin BEM method for efficient parallelisation and to reduce the computational costs wherever possible.

Publié le :
DOI : 10.5802/smai-jcm.50
Mots clés : Numerical analysis, approximation, energy, HPC, finite elements method, boundary element methods, Galerkin method, DG method.
Warncke, Norbert G. W. 1 ; Ciotir, Ioana 2 ; Tonnoir, Antoine 2 ; Lambert, Zoé 2 ; Gout, Christian 3

1 Siemens Gamesa Renewable Energy
2 LMI, Normandie Univ., INSA Rouen, 76000 Rouen, France
3 LMI, Normandie Univ., INSA Rouen, 76000 Rouen, France; and Magique 3D - Advanced 3D Numerical Modeling in Geophysics, Inria Bordeaux - Sud-Ouest [Pau], France 
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     title = {Analytical approach to {Galerkin} {BEMs} on polyhedral surfaces},
     journal = {The SMAI Journal of computational mathematics},
     pages = {27--46},
     publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles},
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Warncke, Norbert G. W.; Ciotir, Ioana; Tonnoir, Antoine; Lambert, Zoé; Gout, Christian. Analytical approach to Galerkin BEMs on polyhedral surfaces. The SMAI Journal of computational mathematics, Tome S5 (2019), pp. 27-46. doi : 10.5802/smai-jcm.50. http://www.numdam.org/articles/10.5802/smai-jcm.50/

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