This item is non-discoverable
Loading...
Non-discoverable
Relations Between WENO3 and Third-Order Limiting in Finite Volume Methods
Schmidtmann, B Seibold, B Torrilhon, M
Schmidtmann, B
Seibold, B
Torrilhon, M
Citations
Altmetric:
Genre
Journal Article
Date
2016-08-01
Advisor
Committee member
Group
Department
Permanent link to this record
Collections
Research Projects
Organizational Units
Journal Issue
DOI
10.1007/s10915-015-0151-z
Abstract
© 2015, Springer Science+Business Media New York. Weighted essentially non-oscillatory (WENO) and finite volume (FV) methods employ different philosophies in their way to perform limiting. We show that a generalized view on limiter functions, which considers a two-dimensional, rather than a one-dimensional dependence on the slopes in neighboring cells, allows to write WENO3 and 3rd-order FV schemes in the same fashion. Within this framework, it becomes apparent that the classical approach of FV limiters to only consider ratios of the slopes in neighboring cells, is overly restrictive. The hope of this new perspective is to establish new connections between WENO3 and FV limiter functions, which may give rise to improvements for the limiting behavior in both approaches.
Description
Citation
Citation to related work
Springer Science and Business Media LLC
Has part
Journal of Scientific Computing
ADA compliance
For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu