Preprint on HDG for elastic anisotropy

A preprint on HDG method for anisotropy is available online:Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation, arXiv preprint 2403.02862, pp. 1–34, 2024. The associated research report (79 pages) is also available on Hal: On the implementation of Hybridizable Discontinuous Galerkin discretization for…

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Preprint on helioseismology

A preprint is available online:H. Pham, F. Faucher, D. Fournier, H. Barucq, and L. Gizon. Assembling algorithm for Green’s tensors and absorbing boundary conditions for Galbrun’s equation in radial symmetry, arXiv preprint 2401.17080, pp. 1–33, 2024. Abstract Solar oscillations can be modeled by Galbrun’s equation which describes Lagrangian wave displacement in…

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Sparsified discrete wave problem involving a radiation condition on a prolate spheroidal surface

Authors : Hélène Barucq, M’Barek Fares (Cerfacs), Carola Kruse (Cerfacs), Sébastien Tordeux Research article : Hélène Barucq, M’Barek Fares, Carola Kruse, Sébastien Tordeux, Sparsified discrete wave problem involving a radiation condition on a prolate spheroidal surface, IMA Journal of Numerical Analysis, Volume 41, Issue 1, January 2021, Pages 315–343 (link to the…

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Absorbing Boundary Conditions for the Convected Helmholtz Equation

Authors : Hélène Barucq, Nathan Rouxelin (Former PhD student of Makutu), Sébastien Tordeux Article published in : Low-order Prandtl-Glauert-Lorentz based Absorbing Boundary Conditions for solving the convected Helmholtz equation with Discontinuous Galerkin methods, Journal of Computational Physics, Volume 468, 2022, (link to the journal) Many wave propagation problems are set in unbounded…

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Bore reconstruction of woodwind-like instruments

The internal geometry of a wind instrument can be estimated from acoustic measurements. For woodwind instruments, this involves characterizing the inner shape (bore) but also the side holes (dimensions and location). In this study, the geometric parameters are recovered by a gradient-based optimization process, which minimizes the deviation between simulated…

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Model of thermoviscous acoustic propagation in thin rough tubes

Contributors: Alexis Thibault (Ph. D. student), Henri Boutin (STMS UMR 9912), Juliette Chabassier, Thomas Hélie (STMS UMR 9912) Thermoviscous acoustic propagation in a tube with corrugated isothermal rigid walls is considered. At long wavelengths, it amounts to a 1D transmission line equation, in which the coefficients depend on the solution…

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