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 publicationSpectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2014, Selected papers from the ICOSAHOM
EditorsRobert M. Kirby, Martin Berzins, Jan S. Hesthaven
PublisherSpringer Verlag
Pages157-166
Number of pages10
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)1439-7358

Other

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

ASJC Scopus subject areas

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

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