| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4639365 | Journal of Computational and Applied Mathematics | 2013 | 9 Pages |
Abstract
The objective of the present work is to provide a theoretical analysis of the spectral properties of a selection of nonlinear finite difference schemes. The Nonlinear Spectral Analysis (NSA) of Fauconnier and Dick (2011) [6] is applied in order to study the statistical behavior of the modified wavenumber of TVD schemes in combination with five common limiter functions and also the 5th-order WENO scheme, for a large set of synthetic scalar fields with prescribed energy spectrum and random phase. The theoretical observations are verified numerically for the linear propagation of a broadband wave.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
D. Fauconnier, E. Dick,