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Hybrid Galerkin numerical modelling of elastodynamics and compressible Navier–Stokes couplings: applications to seismo-gravito acoustic waves

Brissaud, Quentin and Martin, Roland and Garcia, Raphael and Komatitsch, Dimitri (2017) Hybrid Galerkin numerical modelling of elastodynamics and compressible Navier–Stokes couplings: applications to seismo-gravito acoustic waves. Geophysical Journal International, 210 (2). pp. 1047-1069. ISSN 0956-540X. https://resolver.caltech.edu/CaltechAUTHORS:20180803-103342228

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Abstract

We introduce a hybrid Galerkin modelling tool for the nonlinear acoustic and gravity wave propagation in planetary atmospheres coupled through topography to a solid medium. We rely on a 2-D spectral-element technique to model linear visco-elastic solid media and couple it to a discontinuous Galerkin method for the atmosphere modelled by the fully nonlinear Navier–Stokes equations. Significant benefits of such a method are, first, its versatility because it handles both acoustic and gravity waves in the same simulation, second, it enables one to observe nonlinear effects as convection or wave-breaking and, finally, it allows one to study the impact of ground-atmosphere coupling for waves propagating from seismic sources. Simulations are performed for 2-D isothermal atmosphere models with complex wind and viscosity profiles. We validate the computations by comparing them to finite-difference solutions, already validated in a previous paper. Specific benchmark validation cases are considered for both acoustic and gravity waves subject to viscosity variations, wind duct and nonlinear wave breaking. We apply this tool to study acoustic and gravity waves generated by a strong seismic source and its nonlinear breaking in the upper atmosphere.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1093/gji/ggx185DOIArticle
ORCID:
AuthorORCID
Garcia, Raphael0000-0003-1460-6663
Additional Information:© The Authors 2017. Published by Oxford University Press on behalf of The Royal Astronomical Society. Accepted 2017 May 3. Received 2017 March 28; in original form 2017 January 9. We thank Vadim Monteiller for helpful discussions on the implementation of the discontinuous Galerkin method. Computer resources were provided by projects # p1404 at CALMIP computing centre (Toulouse, France). This work was also granted access to the French HPC resources of TGCC under allocation 2016-gen7646 made by GENCI. The authors also thank the ‘Région Midi-Pyrénées’ (France) and ‘Université de Toulouse’ for funding the PhD grant of Quentin Brissaud.
Group:Keck Institute for Space Studies
Subject Keywords:Acoustic-gravity waves, Non-linear differential equations, Numerical modelling, Computational seismology, Earthquake ground motions, Wave propagation
Issue or Number:2
Record Number:CaltechAUTHORS:20180803-103342228
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180803-103342228
Official Citation:Quentin Brissaud, Roland Martin, Raphaël F. Garcia, Dimitri Komatitsch; Hybrid Galerkin numerical modelling of elastodynamics and compressible Navier–Stokes couplings: applications to seismo-gravito acoustic waves, Geophysical Journal International, Volume 210, Issue 2, 1 August 2017, Pages 1047–1069, https://doi.org/10.1093/gji/ggx185
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88567
Collection:CaltechAUTHORS
Deposited By: Iryna Chatila
Deposited On:03 Aug 2018 20:18
Last Modified:03 Oct 2019 20:07

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