Stable perfectly matched layers with Lorentz transformation for the convected Helmholtz equation
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Publication:2120762
DOI10.1016/j.jcp.2021.110180OpenAlexW3126793049MaRDI QIDQ2120762
Hadrien Bériot, Xavier Antoine, Philippe Marchner, Christophe A. Geuzaine
Publication date: 1 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110180
stabilityLorentz transformationperfectly matched layershigh-order FEMconvected Helmholtz equationcross flow
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Hydro- and aero-acoustics (76Qxx)
Related Items (5)
Direct and adjoint problems for sound propagation in non-uniform flows with lined and vibrating surfaces ⋮ Construction and Numerical Assessment of Local Absorbing Boundary Conditions for Heterogeneous Time-Harmonic Acoustic Problems ⋮ Low-order Prandtl-Glauert-Lorentz based absorbing boundary conditions for solving the convected Helmholtz equation with discontinuous Galerkin methods ⋮ An adaptive order finite element method for poroelastic materials described through the Biot equations ⋮ Analysis of Schwarz Methods for Convected Helmholtz-Like Equations
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Cites Work
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- Boundary element and finite element coupling for aeroacoustics simulations
- A comparison of high-order polynomial and wave-based methods for Helmholtz problems
- A parameter-free perfectly matched layer formulation for the finite-element-based solution of the Helmholtz equation
- An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems
- Perfectly matched layers for coupled nonlinear Schrödinger equations with mixed derivatives
- On the analysis and construction of perfectly matched layers for the linearized Euler equations
- A perfectly matched layer for the absorption of electromagnetic waves
- Stability of perfectly matched layers, group velocities and anisotropic waves.
- Well-posed perfectly matched layers for advective acoustics
- Parametric finite elements, exact sequences and perfectly matched layers
- Optimizing the perfectly matched layer
- Enhanced conformal perfectly matched layers for Bernstein-Bézier finite element modelling of short wave scattering
- Anisotropic adaptivity of the \(p\)-FEM for time-harmonic acoustic wave propagation
- A time domain analysis of PML models in acoustics
- A perfectly matched layer absorbing boundary condition for linearized Euler equations with a non-uniform mean flow
- A new approach to perfectly matched layers for the linearized Euler system
- On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer
- Perfectly matched layers in negative index metamaterials and plasmas
- SIMILARITY VARIABLES FOR SOUND RADIATION IN A UNIFORM FLOW
- Optimal A Priori Error Estimates for an Elliptic Problem with Dirac Right-Hand Side
- Analysis of high-order finite elements for convected wave propagation
- Optimizing perfectly matched layers in discrete contexts
- Efficient implementation of high‐order finite elements for Helmholtz problems
- Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well‐posedness, and Stability
- Improving the performance of perfectly matched layers by means of hp‐adaptivity
- An Exact Bounded Perfectly Matched Layer for Time-Harmonic Scattering Problems
- PML absorbing boundary conditions for the linearized and nonlinear Euler equations in the case of oblique mean flow
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- A transformation of the acoustic equation with implications for wind-tunnel and low-speed flight tests
- The Perfectly Matched Layer in Curvilinear Coordinates
- Complex space approach to perfectly matched layers: a review and some new developments
- Perfectly Matched Layers for the Convected Helmholtz Equation
- Acoustic black holes: horizons, ergospheres and Hawking radiation
- Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides
- Non-Maxwellian Locally-Conformal PML Absorbers for Finite Element Mesh Truncation
- The aerodynamic noise of small-perturbation subsonic flows
- A stable, perfectly matched layer for linearized Euler equations in unsplit physical variables
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