A Spectral Study on the Dissipation and Dispersion of the WENO Schemes
Abstract
The dissipation and dispersion (spectral) properties of the nonlinear fifth order classical weighted essentially non-oscillatory finite difference scheme (WENO-JS5) and its improved version (WENO-Z5) using the approximate dispersion relation (ADR) (Pirozzoli in J Comput Phys 219:489---497, 2006) and the nonlinear spectral analysis (NSA) (Fauconnier et al. in J Comput Phys 228(6):1830---1861, 2009) are studied. Unlike the previous studies, the...
Paper Details
Title
A Spectral Study on the Dissipation and Dispersion of the WENO Schemes
Published Date
Jul 9, 2014
Volume
63
Issue
1
Pages
49 - 77
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