Title
Extending the stability limit of explicit scheme with spatial filtering for solving wave equations.
Abstract
The explicit finite-difference scheme is widely used for solving the wave equation; however, its time step is strictly constrained by the Courant-Friedrichs-Lewy (CFL) stability limit. We apply spatial filtering to reduce the high-wavenumber noise caused by using a larger time step beyond the CFL stability limit. We further incorporate the forward and inverse time dispersion transforms to reduce the time-dispersion error. This method allows us to use a time step larger than the maximum time step allowed by the CFL stability limit.
Year
DOI
Venue
2019
10.1016/j.jcp.2019.07.051
Journal of Computational Physics
Keywords
Field
DocType
Explicit scheme,Spatial filtering,CFL stability limit,Time-dispersion error,Large time step
Dispersion (optics),Inverse,Mathematical analysis,Wave equation,Mathematics,Spatial filter
Journal
Volume
ISSN
Citations 
397
0021-9991
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Yingjie Gao121.01
Jinhai Zhang2173.41
Yao Zhenxing3194.03