publications

articles

2022

1. JCP

   Low-order Prandtl-Glauert-Lorentz based Absorbing Boundary Conditions for solving the convected Helmholtz equation with Discontinuous Galerkin methods

   Barucq, Hélène, Rouxelin, Nathan, and Tordeux, Sébastien

   Journal of Computational Physics 2022

   Abs Link

   We construct Absorbing Boundary Conditions (ABCs) for the convected Helmholtz equation that are easy to implement in a Hybridizable Discontinuous Galerkin (HDG) formulation. The construction is based upon the Prandtl-Glauert-Lorentz map which transforms the convected Helmholtz equation into the regular Helmholtz equation. The new ABCs are thus issued from classical Bayliss-Gunztburger-Turkel ABCs and are valid for carrier flows that vary inside the computational domain but become uniform far away from the source. They lead to accurate numerical results for low and intermediate Mach numbers using a HDG formulation with the acoustic potential and the total flux as unknowns.

pre-prints

2021

1. Report

   HDG and HDG+ methods for harmonic wave problems with convection

   Barucq, Hélène, Rouxelin, Nathan, and Tordeux, Sébastien

   Link

talks

2022

1. CMAM

   A HDG framework for convected wave equations: Applications in helioseismology

   Rouxelin, Nathan, Barucq, Hélène, and Tordeux, Sébastien

   In CMAM 2022 (Vienna)– Computational Methods in Applied Mathematics 2022
2. WAVES

   Low-order Absorbing Boundary Conditions in HDG discretization of the convected Helmholtz equation

   Rouxelin, Nathan, Barucq, Hélène, and Tordeux, Sébastien

   In WAVES 2022 (Palaiseau)– 15th International Conference and Mathematical and Numerical Aspects of Wave Propagation 2022
3. CANUM

   Conditions limites absorbantes d’ordre faible pour l’équation de Helmholtz convectée

   Rouxelin, Nathan, Barucq, Hélène, and Tordeux, Sébastien

   In CANUM (Évian-les-bains) – 45eme Congrès d’Analyse Numérique 2022
4. CANUM

   Méthodes de différences finies pour des équations de Hamilton-Jacobi dans des milieux stratifiés

   Rouxelin, Nathan, and Zidani, Hasnaa

   In CANUM (Évian-les-bains) – 45eme Congrès d’Analyse Numérique 2022

2021

1. WCCM-ECCOMAS

   Numerical simulation of aeroacoustic wave propagation in the Sun

   Rouxelin, Nathan, Barucq, Hélène, and Tordeux, Sébastien

   In 14th WCCM-ECCOMAS Congress 2020 2021

   Link
2. ICOSAHOM

   Convergence analysis of HDG formulations for the convected Helmholtz equation

   Rouxelin, Nathan, Barucq, Hélène, and Tordeux, Sébastien

   In ICOSAHOM 2021 – International conference on spectral and high-order methods 2021
3. ANTS

   HDG methods for the scalar wave equation with flows

   Rouxelin, Nathan, Barucq, Hélène, and Tordeux, Sébastien

   In 2nd ANTS workshop on computational helioseismology 2021

2019

1. ANTS

   On the equivalence between Galbrun’s equation and LEE in time-hamonic domain

   Rouxelin, Nathan, Barucq, Hélène, Chabassier, Juliette, and Duruflé, Marc

   In 1st ANTS workshop on computational helioseismology 2019

posters

2021

1. WINE

   Simple Absorbing Boundary Conditions for the Convected Helmholtz equation

   Rouxelin, Nathan, Barucq, Hélène, and Tordeux, Sébastien

   In Wavecomplexity International Networking Event 2021

2018

1. SIAM Imaging

   A second order free discontinuity model for bituminous surfacing crack recovery, analysis of a nonlocal version of it and MPI implementation

   Le Guyader, C., Rouxelin, N., Schmoderer, T., Quesnel, E., Bousquet-Melou, P., and Debroux, N.

   In SIAM Conference on Imaging Science 2018
2. C & S

   A second order nonlocal variational model for crack detection on bituminous surfacing

   Le Guyader, C., Debroux, N., Bousquet-Melou, P., Quesnel, E., Rouxelin, N., Schmoderer, T., Gout, C., Antoine, R., Fauchard, C., and Jouin, D.

   In Curves and surfaces 2018 2018