Embedded WENO : a design method to improve existing WENO schemes

Onderzoeksoutput: Boek/rapportRapportAcademic

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Embedded WENO methods utilize all adjacent smooth substencils to construct a desirable interpolation. Conventional WENO schemes underuse this possibility close to large gradients or discontinuities. Embedded methods based on the WENO schemes of Jiang and Shu [1] and on the WENO-Z scheme of Borges et al. [2] are explicitly constructed. Several possible choices are presented that result in either better spectral properties or a higher order of convergence. The embedded methods are demonstrated to be improvements over their standard counterparts by several numerical examples. All the embedded methods presented have virtually no added computational effort compared to their standard counterparts. Keywords: Essentially non-oscillatory, WENO, high-resolution scheme, hyperbolic conservation laws, nonlinear interpolation, spectral analysis.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijTechnische Universiteit Eindhoven
Aantal pagina's39
StatusGepubliceerd - 2015

Publicatie series

NaamCASA-report
Volume1529
ISSN van geprinte versie0926-4507

Vingerafdruk

WENO Scheme
Design Method
Interpolate
High-resolution Schemes
Hyperbolic Conservation Laws
Order of Convergence
Spectral Analysis
Spectral Properties
Discontinuity
Adjacent
Higher Order
Gradient
Numerical Examples

Citeer dit

Lith, van, B. S., Thije Boonkkamp, ten, J. H. M., & IJzerman, W. L. (2015). Embedded WENO : a design method to improve existing WENO schemes. (CASA-report; Vol. 1529). Eindhoven: Technische Universiteit Eindhoven.
Lith, van, B.S. ; Thije Boonkkamp, ten, J.H.M. ; IJzerman, W.L. / Embedded WENO : a design method to improve existing WENO schemes. Eindhoven : Technische Universiteit Eindhoven, 2015. 39 blz. (CASA-report).
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Lith, van, BS, Thije Boonkkamp, ten, JHM & IJzerman, WL 2015, Embedded WENO : a design method to improve existing WENO schemes. CASA-report, vol. 1529, Technische Universiteit Eindhoven, Eindhoven.

Embedded WENO : a design method to improve existing WENO schemes. / Lith, van, B.S.; Thije Boonkkamp, ten, J.H.M.; IJzerman, W.L.

Eindhoven : Technische Universiteit Eindhoven, 2015. 39 blz. (CASA-report; Vol. 1529).

Onderzoeksoutput: Boek/rapportRapportAcademic

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Lith, van BS, Thije Boonkkamp, ten JHM, IJzerman WL. Embedded WENO : a design method to improve existing WENO schemes. Eindhoven: Technische Universiteit Eindhoven, 2015. 39 blz. (CASA-report).