An FC-based spectral solver for elastodynamic problems in general three-dimensional domains
- Creators
- Amlani, Faisal
- Bruno, Oscar P.
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.
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.Additional details
- Eprint ID
- 90597
- Resolver ID
- CaltechAUTHORS:20181101-152904690
- DMS-1008631
- NSF
- DMS-1411876
- NSF
- FA9550-11-1-0193
- Air Force Office of Scientific Research (AFOSR)
- FA9550-15-1-0043
- Air Force Office of Scientific Research (AFOSR)
- Created
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2018-11-01Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field