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Title: An Adaptive Fourier Filter for Relaxing Time Stepping Constraints for Explicit Solvers

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.
 [1] ;  [2]
  1. Arizona State University
  2. ORNL
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Conference: ICSAHOM, Salt Lake City, UT, USA, 20150615, 20150615
Research Org:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
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Country of Publication:
United States