High-order embedded WENO schemes

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Samenvatting

Embedded WENO schemes are a new family of weighted essentially nonoscillatory schemes that always utilise all adjacent smooth substencils. This results in increased control over the convex combination of lower-order interpolations. We show that more conventional WENO schemes, such as WENO-JS and WENO-Z (Borges et al., J. Comput. Phys., 2008; Jiang and Shu, J. Comput. Phys., 1996), do not exhibit this feature and as such do not always provide a desirable linear combination of smooth substencils. In a previous work, we have already developed the theory and machinery needed to construct embedded WENO methods and shown some five-point schemes (van Lith et al., J. Comput. Phys., 2016). Here, we construct a seven-point scheme and show that it too performs well using some numerical examples from the one-dimensional Euler equations.

Originele taal-2Engels
TitelSpectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016
SubtitelSelected Papers from the ICOSAHOM conference, June 27-July 1, 2016, Rio de Janeiro, Brazil
RedacteurenM.L. Bittencourt, N.A. Dumont, J.S. Hesthaven
Plaats van productieDordrecht
UitgeverijSpringer
Pagina's257-268
Aantal pagina's12
ISBN van elektronische versie978-3-319-65870-4
ISBN van geprinte versie978-3-319-65869-8
DOI's
StatusGepubliceerd - 2016
Evenement11th International Conference on Spectral and High-Order Methods (ICOSAHOM 2016) - Rio Othon Palace Copacabana, Rio de Janeiro, Brazilië
Duur: 27 jun 20161 jul 2016
Congresnummer: 11

Publicatie series

NaamLecture Notes in Computational Science and Engineering
Volume119
ISSN van geprinte versie1439-7358

Congres

Congres11th International Conference on Spectral and High-Order Methods (ICOSAHOM 2016)
Verkorte titelICOSAHOM2016
LandBrazilië
StadRio de Janeiro
Periode27/06/161/07/16

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