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Planar Slip Condition For Mesh Morphing Using Radial Basis Functions

Aubert, Stéphane, Franck Mastrippolito, Quentin Rendu, Martin Buisson, Frédéric Ducros

Proceedings, 26th International Meshing Roundtable, Elsevier, Science Direct, September 18-21 2017

INTERNATIONAL
MESHING
ROUNTABLE

26th International Meshing Roundtable
Barcelona, Spain
September 18-21, 2017

Stéphane Aubert, Univ. Lyon, Ecole Centrale de Lyon, Laboratoire de Mecanique des Fluides et d’Acoustique UMR5509, Lyon, F-69134, France, FR, stephane.aubert@ec-lyon.fr
Franck Mastrippolito, Univ. Grenoble Alpes, CEA, LITEN, DTBH, Laboratoire Echangeur et Reacteurs, F-38000 Grenoble, France, FR, franck.mastrippolito@cea.fr
Quentin Rendu, Univ. Lyon, Ecole Centrale de Lyon, Laboratoire de Mecanique des Fluides et d’Acoustique UMR5509, Lyon, F-69134, France, FR,
Martin Buisson, Univ. Lyon, Ecole Centrale de Lyon, Laboratoire de Mecanique des Fluides et d’Acoustique UMR5509, Lyon, F-69134, France, FR, martin.buisson@ec-lyon.fr
Frédéric Ducros, Univ. Grenoble Alpes, CEA, LITEN, DTBH, Laboratoire Echangeur et Reacteurs, F-38000 Grenoble, France, FR, frederic.ducros@cea.fr

Abstract
An original approach to morph meshes including slip planes is proposed. Extending the classical interpolation scheme based on Radial Basis Functions (RBF), it preserves the linear property underlying the RBF formalism. No post-correction stage, nor extra not-moving control points, are required to enforce in plane displacements. Accuracy and robustness are evaluated for a 2D configuration where a shock-wave impinges on a cross-flow flexible panel. Analysis is based on deformation quality metrics derived from the displacement field gradient, keeping the proposed approach free from connectivity information. 3D applications are briefly illustrated by the tip of an aero engine fan subjected to conjugated parameterized variations of tip clearance and stagger angle.

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