Journal
ASTRONOMY & ASTROPHYSICS
Volume 522, Issue -, Pages -Publisher
EDP SCIENCES S A
DOI: 10.1051/0004-6361/201014345
Keywords
magnetohydrodynamics; Sun: helioseismology; waves; Sun: oscillations; methods: numerical
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Funding
- German Aerospace Center (DLR)
- European Research Council [FP7/2007-2013, 210949]
- European Research Council (ERC) [210949] Funding Source: European Research Council (ERC)
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Perfectly matched layers are a very efficient way to absorb waves on the outer edges of media. We present a stable convolutional unsplit perfectly matched formulation designed for the linearized stratified Euler equations. The technique as applied to the Magnetohydrodynamic (MHD) equations requires the use of a sponge, which, despite placing the perfectly matched status in question, is still highly efficient at absorbing outgoing waves. We study solutions of the equations in the backdrop of models of linearized wave propagation in the Sun. We test the numerical stability of the schemes by integrating the equations over a large number of wave periods.
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