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Journal of Scientific Computing

Erschienen in:

02.09.2015

A High-Order Compact Limiter Based on Spatially Weighted Projections for the Spectral Volume and the Spectral Differences Method

verfasst von: Raphaël Lamouroux, Jérémie Gressier, Gilles Grondin

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2016

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Abstract

This paper exposes the theoretical developments needed to design a class of spatially weighted polynomial projections used in the definition of a compact limiter dedicated to high-order methods. The spectral volume framework and its integral representation of the solution is used to introduce the degree reduction of the polynomial interpolation. The degree reduction is conducted through a linear projection onto a smaller polynomial space. A particular care is taken regarding the conservativity property and results in a parametric framework where projections can be monitored with spatial weights. These projections are used to define a simple and compact high-order limiting procedure, the SWeP limiter. Then, numerical evaluations are performed using the spectral differences method for the mono-dimensional Euler equations and demonstrate the high-order behavior of the SWeP limiter.

Vorheriger Artikel A Simplified Formulation of the Flux Reconstruction Method

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Titel: A High-Order Compact Limiter Based on Spatially Weighted Projections for the Spectral Volume and the Spectral Differences Method
verfasst von: Raphaël Lamouroux
Jérémie Gressier
Gilles Grondin
Publikationsdatum: 02.09.2015
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 1/2016
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-015-0084-6

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