Radiation boundary conditions for wave‐like equations
Abstract
In the numerical computation of hyperbolic equations it is not practical to use infinite domains. Instead, one truncates the domain with an artificial boundary. In this study we construct a sequence of radiating boundary conditions for wave‐like equations. We prove that as the artificial boundary is moved to infinity the solution approaches the solution of the infinite domain as O( r −m−1/2 ) for the m ‐th boundary condition. Numerical experiments with problems in jet acoustics verify the practical nature and utility of the boundary conditions.
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Ref. 151 demonstrated the importance of accounting for the capacitive coupling.
“Ref. 151 demonstrated the importance of accounting for the capacitive coupling.”
From Plasma propulsion modeling with particle-based algorithms (2023) · cites this paper as [151]
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Plasma propulsion modeling with particle-based algorithms
Taccogna, F., Cichocki, F., Eremin, D., Fubiani, G., & Garrigues, L. (2023) · Journal of Applied Physics · doi:10.1063/5.0153862 · Cited by 29 · see citing works
- Authors
- Bayliss, A., & Turkel, E.
- Affiliations
- Tel Aviv University (IL)
- ORCID
- Turkel, Eli
- Venue
- Communications on Pure and Applied Mathematics
- Publisher
- Wiley
- Published
- 1980-11
- Volume
- 33
- Issue
- 6
- Pages
- 707-725
- ISSN
- 0010-3640 (ISSN-L)
- 1097-0312
- OpenAlex
- W2075241282
- Cited by
- 1,026
- References
- 0
- Citations by year
- 2026: 23 · 2025: 14 · 2024: 27 · 2023: 20 · 2022: 16 · 2021: 19 · 2020: 28 · 2019: 45 · 2018: 23 · 2017: 17 · 2016: 19 · 2015: 16 · 2014: 21 · 2013: 23 · 2012: 25
- FWCI
- 7.94
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Communications on Pure and Applied Mathematics (publishedVersion)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Computational Fluid Dynamics and Aerodynamics
- Physical Sciences › Engineering › Computational Mechanics › Advanced Numerical Methods in Computational Mathematics
- Physical Sciences › Mathematics › Applied Mathematics › Differential Equations and Boundary Problems
- Keywords
- radiation boundary conditions, hyperbolic equations, artificial boundary, domain truncation, jet acoustics, asymptotic error estimates
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