Stable perfectly matched layers with Lorentz transformation for the convected Helmholtz equation

P Marchner, H Beriot, X Antoine, C Geuzaine - Journal of Computational …, 2021 - Elsevier
Abstract Perfectly Matched Layers (PMLs) appear as a popular alternative to non-reflecting
boundary conditions for wave-type problems. The core idea is to extend the computational …

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

H Barucq, N Rouxelin, S Tordeux - Journal of Computational Physics, 2022 - Elsevier
Abstract We construct Absorbing Boundary Conditions (ABCs) for the convected Helmholtz
equation that are easy to implement in a Hybridizable Discontinuous Galerkin (HDG) …

Finite-wing-analogy formula for compressibility correction to pressure coefficient of an underwater vehicle model at low Mach number

Y Wang, Y Liu, Z Zhou, S Wang - Physics of Fluids, 2023 - pubs.aip.org
Wind tunnels are usually used to investigate the flows and forces associated with
underwater vehicles when free-surface effects can be ignored. However, because of the …

Development of 3D boundary element method for the simulation of acoustic metamaterials/metasurfaces in mean flow for aerospace applications

I Bashir, M Carley - International Journal of Aeroacoustics, 2020 - journals.sagepub.com
Low-cost airlines have significantly increased air transport, thus an increase in aviation
noise. Therefore, predicting aircraft noise is an important component for designing an aircraft …

An integral formulation for wave propagation on weakly non-uniform potential flows

S Mancini, RJ Astley, S Sinayoko, G Gabard… - Journal of Sound and …, 2016 - Elsevier
An integral formulation for acoustic radiation in moving flows is presented. It is based on a
potential formulation for acoustic radiation on weakly non-uniform subsonic mean flows. This …

On the use of a Prandtl-Glauert-Lorentz transformation for acoustic scattering by rigid bodies with a uniform flow

FQ Hu, ME Pizzo, DM Nark - Journal of Sound and Vibration, 2019 - Elsevier
It is well-known that the convective wave equation with a uniform mean flow can be
transformed into a standard wave equation without flow by a Prandtl-Glauert-Lorentz type …

A fast multipole boundary element method for three‐dimensional acoustic problems in a subsonic uniform flow

X Liu, H Wu, W Jiang, R Sun - International Journal for …, 2021 - Wiley Online Library
A fast multipole boundary element method (FMBEM) in a subsonic uniform flow is presented.
It is based on the boundary integral equation (BIE) in a subsonic uniform flow. The …

Homogenization of thin-structured surfaces for acoustics in the presence of a two-dimensional low Mach potential flow

JF Mercier - Proceedings of the Royal Society A, 2023 - royalsocietypublishing.org
A surface homogenization method for acoustic waves over thin microstructured surfaces in
the presence of a fluid in a potential flow is presented. Sound hard surfaces are considered …

A meshless wave-based method for modeling sound propagation in three-dimensional axisymmetric lined ducts

T He, S Mo, E Fang, X Liu, Y Li - Engineering with Computers, 2024 - Springer
Theoretical modeling of sound propagation within lined ducts can help with interpreting the
underlying mechanisms of waveguide physics. Herein, we present ESM-FLOW, a meshless …

Amplitude-based generalized plane waves: new quasi-Trefftz functions for scalar equations in two dimensions

LM Imbert-Gerard - SIAM Journal on Numerical Analysis, 2021 - SIAM
Generalized plane waves (GPWs) were introduced to take advantage of Trefftz methods for
problems modeled by variable coefficient equations. Despite the fact that GPWs do not …