Transparent Boundary Conditions for the Wave Equation: High-Order Approximation and Coupling with Characteristic NRBCs

DOI10.1007/978-3-319-19800-2_43zbMath1352.65267OpenAlexW2471617266MaRDI QIDQ2831235

Leonid Dovgilovich, Ivan L. Sofronov

Publication date: 2 November 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-19800-2_43

zbMATH Keywords

convergencenumerical examplewave equationtransparent boundary conditionswaveguidesnon-reflecting boundary conditionsmethod for generating finite difference approximationsstab8ility

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Cites Work

• A high-order super-grid-scale absorbing layer and its application to linear hyperbolic systems
• Non-reflecting inflow and outflow in a wind tunnel for transonic time-accurate simulation
• Application of transparent boundary conditions to high-order finite-difference schemes for the wave equation in waveguides
• The Role of Numerical Boundary Procedures in the Stability of Perfectly Matched Layers
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
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