Abstract
We present a new immersed method for Computational Fluid Dynamics applications. It is based on the use of Non Uniform Rational B-Splines (NURBS). The distance function to an immersed solid is computed directly from its Computer Aided Design (CAD) description. This allows to bypass the generation of surface meshes and to obtain accurate levelset functions for complex geometries. Combined with a metric based anisotropic mesh adaptation and stabilized Finite Elements Method (FEM), it allows a novel, efficient and flexible approach to deal with a wide range of fluid structure interaction problems. The metric field is computed directly at the node of the mesh using the length distribution tensor and an edge based error analysis. Several 2D and 3D numerical examples will demonstrate the applicability of the proposed method.
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Acknowledgements
The authors gratefully acknowledge the help of the Agence Nationale de la Recherche Scientifique (ANR), France, under the project ANR-10-REALISTIC-0065.
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Veysset, J., Jannoun, G., Coupez, T., Hachem, E. (2015). Immersed NURBS for CFD Applications. In: Perotto, S., Formaggia, L. (eds) New Challenges in Grid Generation and Adaptivity for Scientific Computing. SEMA SIMAI Springer Series, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-06053-8_7
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DOI: https://doi.org/10.1007/978-3-319-06053-8_7
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