A high-order super-grid-scale absorbing layer and its application to linear hyperbolic systems

DOI10.1016/j.jcp.2009.02.030zbMath1273.65104OpenAlexW2171338657WikidataQ59755900 ScholiaQ59755900MaRDI QIDQ1025172

Tim Colonius, Daniel Appelö

Publication date: 18 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.02.030

zbMATH Keywords

Maxwell's equationselastic wavesperfectly matched layersnon-reflecting boundary conditionsabsorbing layers

Mathematics Subject Classification ID

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Cites Work

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• Guided elastic waves and perfectly matched layers
• Nonreflecting boundary conditions for the time-dependent wave equation
• Invariance theorems concerning reflection at numerical boundaries
• Absorbing boundaries for wave propagation problems
• Approximation of radiation boundary conditions
• Numerical solution of problems in unbounded regions: coordinate transforms
• Experiments with approximate radiation boundary conditions for computational aeroacoustics
• A perfectly matched layer for the absorption of electromagnetic waves
• Stability of perfectly matched layers, group velocities and anisotropic waves.
• A super-grid-scale model for simulating compressible flow on unbounded domains.
• Summation by parts operators for finite difference approximations of second derivatives
• The numerical behavior of high-order finite difference methods
• High-order local non-reflecting boundary conditions: a review
• A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems
• A new absorbing layer for elastic waves
• VERY HIGH-ORDER SPATIALLY IMPLICIT SCHEMES FOR COMPUTATIONAL ACOUSTICS ON CURVILINEAR MESHES
• Wave propagation analysis of difference schemes for hyperbolic equations: A review
• Group Velocity in Finite Difference Schemes
• Cheap Error Estimation for Runge--Kutta Methods
• Far-Field Filtering Operators for Suppression of Reflection From Artificial Boundaries
• M<scp>ODELING</scp> A<scp>RTIFICIAL</scp> B<scp>OUNDARY</scp> C<scp>ONDITIONS FOR</scp> C<scp>OMPRESSIBLE</scp> F<scp>LOW</scp>

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