Low-order Prandtl-Glauert-Lorentz based absorbing boundary conditions for solving the convected Helmholtz equation with discontinuous Galerkin methods

DOI10.1016/j.jcp.2022.111450OpenAlexW4283314234WikidataQ113871673 ScholiaQ113871673MaRDI QIDQ2168283

Sébastien Tordeux, Nathan Rouxelin, Hélène Barucq

Publication date: 31 August 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111450

zbMATH Keywords

absorbing boundary conditionsABCconvected Helmholtz equationPrandtl-Glauert-Lorentz transformation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx) Hydro- and aero-acoustics (76Qxx)

Related Items (2)

TRAC method in dissipative media—a first analysis in frequency domain and homogeneous media ⋮ Analysis of Schwarz Methods for Convected Helmholtz-Like Equations

Uses Software

• DLMF
• hawen

Cites Work

• Unnamed Item
• Coupled BEM-FEM for the convected Helmholtz equation with non-uniform flow in a bounded domain
• To CG or to HDG: A comparative study
• High-order absorbing boundary conditions for anisotropic and convective wave equations
• Far field boundary conditions for compressible flows
• Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape
• A perfectly matched layer for the absorption of electromagnetic waves
• Stable perfectly matched layers with Lorentz transformation for the convected Helmholtz equation
• A non-overlapping Schwarz domain decomposition method with high-order finite elements for flow acoustics
• Analysis of the convected Helmholtz equation with a uniform mean flow in a waveguide with complete radiation boundary conditions
• A time domain analysis of PML models in acoustics
• SIMILARITY VARIABLES FOR SOUND RADIATION IN A UNIFORM FLOW
• Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• High-Order Radiation Boundary Conditions for the Convective Wave Equation in Exterior Domains
• Time-Harmonic Acoustic Scattering in a Complex Flow: A Full Coupling Between Acoustics and Hydrodynamics
• Perfectly Matched Layers for the Convected Helmholtz Equation
• Construction and Numerical Assessment of Local Absorbing Boundary Conditions for Heterogeneous Time-Harmonic Acoustic Problems
• Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix
• A stable, perfectly matched layer for linearized Euler equations in unsplit physical variables

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