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An FC-based spectral solver for elastodynamic problems in general three-dimensional domains

Amlani, Faisal and Bruno, Oscar P. (2016) An FC-based spectral solver for elastodynamic problems in general three-dimensional domains. Journal of Computational Physics, 307 . pp. 333-354. ISSN 0021-9991. doi:10.1016/j.jcp.2015.11.060. https://resolver.caltech.edu/CaltechAUTHORS:20181101-152904690

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Abstract

This paper presents a spectral numerical algorithm for the solution of elastodynamics problems in general three-dimensional domains. Based on a recently introduced “Fourier continuation” (FC) methodology for accurate Fourier expansion of non-periodic functions, the proposed approach possesses a number of appealing properties: it yields results that are essentially free of dispersion errors, it entails mild CFL constraints, it runs at a cost that scales linearly with the discretization sizes, and it lends itself easily to efficient parallelization in distributed-memory computing clusters. The proposed algorithm is demonstrated in this paper by means of a number of applications to problems of isotropic elastodynamics that arise in the fields of materials science and seismology. These examples suggest that the new approach can yield solutions within a prescribed error tolerance by means of significantly smaller discretizations and shorter computing times than those required by other methods.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.jcp.2015.11.060DOIArticle
ORCID:
AuthorORCID
Bruno, Oscar P.0000-0001-8369-3014
Additional Information:© 2015 Elsevier. Received 21 March 2015, Revised 27 November 2015, Accepted 28 November 2015, Available online 8 December 2015. The authors gratefully acknowledge support from NSF (Grants DMS-1008631 and DMS-1411876) and AFOSR (Grants FA9550-11-1-0193 and FA9550-15-1-0043). Our interactions with Prof. J. Carlos López-Vázquez and his collaborators at the University of Vigo provided one of the main motivations for the efforts leading to the present contribution; we thank these colleagues for profitable discussions and for providing data on through-hole plate-scattering experiments. Valuable conversations with Prof. D. Appelo are also gratefully acknowledged.
Funders:
Funding AgencyGrant Number
NSFDMS-1008631
NSFDMS-1411876
Air Force Office of Scientific Research (AFOSR)FA9550-11-1-0193
Air Force Office of Scientific Research (AFOSR)FA9550-15-1-0043
Subject Keywords:Elastic wave equation; Spectral solver; General domain; FC solver; Seismic simulations; Non-destructive testing
DOI:10.1016/j.jcp.2015.11.060
Record Number:CaltechAUTHORS:20181101-152904690
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20181101-152904690
Official Citation:Faisal Amlani, Oscar P. Bruno, An FC-based spectral solver for elastodynamic problems in general three-dimensional domains, Journal of Computational Physics, Volume 307, 2016, Pages 333-354, ISSN 0021-9991, https://doi.org/10.1016/j.jcp.2015.11.060. (http://www.sciencedirect.com/science/article/pii/S0021999115008086)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90597
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:01 Nov 2018 22:34
Last Modified:16 Nov 2021 03:34

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