Here are presented some recent results and subjects studied by the team. They can be grouped by field of application:
They can also be grouped following the methodology used:
You can also consult all the topics related to a specific open software or a specific collaborative project.
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…
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…
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…
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…
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…
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…
Participants : Kakon Sem Fure (Master student), Margot Sirdey (PhD Student), Sébastien Pernet (ONERA), Sébastien Tordeux Trefftz methods are known to be very efficient to reduce the numerical pollution when associated to plane wave basis. However, these local basis functions are not adapted to the computation of evanescent modes or…
The bassoon is a woodwind instrument with side holes, and it is played with a double cane reed. Today, the French and German models coexist in the orchestra, with a predominance of the German model. They differ mainly by the number and the location of the holes and by the…
Participants : Margot Sirdey (Doctorante) Sébastien Tordeux, Sébastien Pernet (ONERA) Three dimensional electromagnetic waves simulation is an important issue in many applications. Industrial simulation frequently involves the solution of a large linear system. When resorting to direct methods (LU decompositions) the necessary memory for the inversion of the matrix increases…
We have used unstructured (simplex) splines to formulate an unstructured version of isogeometric analysis. The basis functions are built from an underlying point cloud, and not on a mesh, unlike standard finite elements (FE). The basis functions are smoother than the usual FE basis, and their regularity can be adapted…
