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Solving the forward problem of helioseismology in the frequency domain

Abstract : Solar acoustic waves are continuously excited by turbulent convection (a random process). The forward problem of local helioseismology was specified at the Waves 2013 conference: computing the cross-covariance of the wave field between any two locations on the solar surface. Here we solve the problem in the frequency domain using the finite element solver Montjoie. One of the specificities of propagation/scattering problems in the Sun is the very sharp decrease of sound speed and density with radius near the surface. We show that the problem simplifies considerably under the assumption that the co-variance function of the source of excitation is proportional to the attenuation.
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https://hal.archives-ouvertes.fr/hal-01264023
Contributor : Juliette Chabassier <>
Submitted on : Tuesday, February 2, 2016 - 2:02:30 PM
Last modification on : Thursday, March 5, 2020 - 7:22:58 PM
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  • HAL Id : hal-01264023, version 1

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Laurent Gizon, Hélène Barucq, Marc Duruflé, C. Aaron Birch, Juliette Chabassier, et al.. Solving the forward problem of helioseismology in the frequency domain. THE 12TH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION, Jul 2015, Karlsruhe, Germany. ⟨hal-01264023⟩

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