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  Atmospheric radiation boundary conditions for the Helmholtz equation

Barucq, H., Chabassier, J., Duruflé, M., Gizon, L., & Leguèbe, M. (2018). Atmospheric radiation boundary conditions for the Helmholtz equation. ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN), 52(3), 945-964. doi:10.1051/m2an/2017059.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-C5C7-E Version Permalink: http://hdl.handle.net/21.11116/0000-0003-C5CB-A
Genre: Journal Article

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 Creators:
Barucq, Hélène, Author
Chabassier, Juliette, Author
Duruflé, Marc, Author
Gizon, Laurent1, Author              
Leguèbe, Michael1, Author              
Affiliations:
1Department Solar and Stellar Interiors, Max Planck Institute for Solar System Research, Max Planck Society, ou_1832287              

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Free keywords: Radiation boundary condition / Helmholtz equation / atmosphere
 Abstract: This work offers some contributions to the numerical study of acoustic waves propagating in the Sun and its atmosphere. The main goal is to provide boundary conditions for outgoing waves in the solar atmosphere where it is assumed that the sound speed is constant and the density decays exponentially with radius. Outgoing waves are governed by a Dirichlet-to-Neumann map which is obtained from the factorization of the Helmholtz equation expressed in spherical coordinates. For the purpose of extending the outgoing wave equation to axisymmetric or 3D cases, different approximations are implemented by using the frequency and/or the angle of incidence as parameters of interest. This results in boundary conditions called atmospheric radiation boundary conditions (ARBC) which are tested in ideal and realistic configurations. These ARBCs deliver accurate results and reduce the computational burden by a factor of two in helioseismology applications.

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Language(s): eng - English
 Dates: 2018
 Publication Status: Published online
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1051/m2an/2017059
 Degree: -

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Title: ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)
Source Genre: Journal
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Affiliations:
Publ. Info: Les Ulis; London : EDP Sciences
Pages: - Volume / Issue: 52 (3) Sequence Number: - Start / End Page: 945 - 964 Identifier: CoNE: https://pure.mpg.de/cone/journals/resource/0764-583X