An adaptive fourier filter for relaxing time stepping constraints for explicit solvers

Dennis Denker, Rick Archibald, Anne Gelb

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Filtering is necessary to stabilize piecewise smooth solutions. The resulting diffusion stabilizes the method, but may fail to resolve the solution near discontinuities. Moreover, high order filtering still requires cost prohibitive time stepping. This paper introduces an adaptive filter that controls spurious modes of the solution, but is not unnecessarily diffusive. Consequently we are able to stabilize the solution with larger time steps, but also take advantage of the accuracy of a high order filter.

Original languageEnglish (US)
Title of host publicationLecture Notes in Computational Science and Engineering
PublisherSpringer Verlag
Pages157-166
Number of pages10
Volume106
ISBN (Print)9783319197999
DOIs
StatePublished - 2015
Event10th International Conference on Spectral and High-Order Methods, ICOSAHOM 2014 - Salt Lake City, United States
Duration: Jun 23 2014Jun 27 2014

Publication series

NameLecture Notes in Computational Science and Engineering
Volume106
ISSN (Print)14397358

Other

Other10th International Conference on Spectral and High-Order Methods, ICOSAHOM 2014
CountryUnited States
CitySalt Lake City
Period6/23/146/27/14

Fingerprint

Time Stepping
Filtering
Higher Order
Filter
Adaptive Filter
Smooth Solution
Discontinuity
Resolve
Necessary
Adaptive filters
Costs

ASJC Scopus subject areas

  • Engineering(all)
  • Computational Mathematics
  • Modeling and Simulation
  • Control and Optimization
  • Discrete Mathematics and Combinatorics

Cite this

Denker, D., Archibald, R., & Gelb, A. (2015). An adaptive fourier filter for relaxing time stepping constraints for explicit solvers. In Lecture Notes in Computational Science and Engineering (Vol. 106, pp. 157-166). (Lecture Notes in Computational Science and Engineering; Vol. 106). Springer Verlag. https://doi.org/10.1007/978-3-319-19800-2_12

An adaptive fourier filter for relaxing time stepping constraints for explicit solvers. / Denker, Dennis; Archibald, Rick; Gelb, Anne.

Lecture Notes in Computational Science and Engineering. Vol. 106 Springer Verlag, 2015. p. 157-166 (Lecture Notes in Computational Science and Engineering; Vol. 106).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Denker, D, Archibald, R & Gelb, A 2015, An adaptive fourier filter for relaxing time stepping constraints for explicit solvers. in Lecture Notes in Computational Science and Engineering. vol. 106, Lecture Notes in Computational Science and Engineering, vol. 106, Springer Verlag, pp. 157-166, 10th International Conference on Spectral and High-Order Methods, ICOSAHOM 2014, Salt Lake City, United States, 6/23/14. https://doi.org/10.1007/978-3-319-19800-2_12
Denker D, Archibald R, Gelb A. An adaptive fourier filter for relaxing time stepping constraints for explicit solvers. In Lecture Notes in Computational Science and Engineering. Vol. 106. Springer Verlag. 2015. p. 157-166. (Lecture Notes in Computational Science and Engineering). https://doi.org/10.1007/978-3-319-19800-2_12
Denker, Dennis ; Archibald, Rick ; Gelb, Anne. / An adaptive fourier filter for relaxing time stepping constraints for explicit solvers. Lecture Notes in Computational Science and Engineering. Vol. 106 Springer Verlag, 2015. pp. 157-166 (Lecture Notes in Computational Science and Engineering).
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