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.
@article{SMAI-JCM_2019__S5__27_0, author = {Warncke, Norbert G. W. and Ciotir, Ioana and Tonnoir, Antoine and Lambert, Zo\'e and Gout, Christian}, 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}, volume = {S5}, year = {2019}, doi = {10.5802/smai-jcm.50}, language = {en}, url = {http://www.numdam.org/articles/10.5802/smai-jcm.50/} }
TY - JOUR AU - Warncke, Norbert G. W. AU - Ciotir, Ioana AU - Tonnoir, Antoine AU - Lambert, Zoé AU - Gout, Christian TI - Analytical approach to Galerkin BEMs on polyhedral surfaces JO - The SMAI Journal of computational mathematics PY - 2019 SP - 27 EP - 46 VL - S5 PB - Société de Mathématiques Appliquées et Industrielles UR - http://www.numdam.org/articles/10.5802/smai-jcm.50/ DO - 10.5802/smai-jcm.50 LA - en ID - SMAI-JCM_2019__S5__27_0 ER -
%0 Journal Article %A Warncke, Norbert G. W. %A Ciotir, Ioana %A Tonnoir, Antoine %A Lambert, Zoé %A Gout, Christian %T Analytical approach to Galerkin BEMs on polyhedral surfaces %J The SMAI Journal of computational mathematics %D 2019 %P 27-46 %V S5 %I Société de Mathématiques Appliquées et Industrielles %U http://www.numdam.org/articles/10.5802/smai-jcm.50/ %R 10.5802/smai-jcm.50 %G en %F SMAI-JCM_2019__S5__27_0
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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