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

Abstract : 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.
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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-03288930
Contributor : Nathan Rouxelin Connect in order to contact the contributor
Submitted on : Thursday, June 23, 2022 - 12:36:04 PM
Last modification on : Thursday, June 30, 2022 - 3:34:34 AM

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paper_lorentz_v2.pdf
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  • HAL Id : hal-03288930, version 2

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Hélène Barucq, Nathan Rouxelin, Sébastien Tordeux. Low-order Prandtl-Glauert-Lorentz based Absorbing Boundary Conditions for solving the convected Helmholtz equation with Discontinuous Galerkin methods. 2022. ⟨hal-03288930v2⟩

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