Dispersion and dissipation properties of the 1D spectral volume method and application to a p-multigrid algorithm

Kris Van Den Abeele; Tim Broeckhoven; Christian Lacor; G. Tryggvason

Dispersion and dissipation properties of the 1D spectral volume method and application to a p-multigrid algorithm

Kris Van Den Abeele, Tim Broeckhoven, Christian Lacor, G. Tryggvason (Editor)

Applied Mechanics

Research output: Contribution to journal › Article › peer-review

67 Citations (Scopus)

Abstract

In this article, the wave propagation properties of the 1D spectral volume method are studied through analysis of the Fourier footprint of the schemes. A p-multigrid algorithm for the spectral volume method is implemented. Restriction and prolongation operators are discussed and the efficiency of the smoothing operators is analyzed. The results are verified for simple 1D advection problems and for a quasi-1D Euler flow. It is shown that a significant decrease in computational effort is possible with the p-multigrid algorithm.

Original language	English
Pages (from-to)	616-636
Number of pages <span style="color:red"p> <font size="1.5"> ✽ </span> </font>	21
Journal	Journal of Computational Physics
Volume	224
Publication status	Published - 10 Jun 2007

Bibliographical note

G. Tryggvason

Keywords

spectral volume method
wave propagation properties
p-multigrid

Access to Document

http://dx.doi.org/10.1016/j.jcp.2006.10.022

Cite this

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title = "Dispersion and dissipation properties of the 1D spectral volume method and application to a p-multigrid algorithm",

abstract = "In this article, the wave propagation properties of the 1D spectral volume method are studied through analysis of the Fourier footprint of the schemes. A p-multigrid algorithm for the spectral volume method is implemented. Restriction and prolongation operators are discussed and the efficiency of the smoothing operators is analyzed. The results are verified for simple 1D advection problems and for a quasi-1D Euler flow. It is shown that a significant decrease in computational effort is possible with the p-multigrid algorithm.",

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T1 - Dispersion and dissipation properties of the 1D spectral volume method and application to a p-multigrid algorithm

AU - Van Den Abeele, Kris

AU - Broeckhoven, Tim

AU - Lacor, Christian

A2 - Tryggvason, G.

N1 - G. Tryggvason

PY - 2007/6/10

Y1 - 2007/6/10

N2 - In this article, the wave propagation properties of the 1D spectral volume method are studied through analysis of the Fourier footprint of the schemes. A p-multigrid algorithm for the spectral volume method is implemented. Restriction and prolongation operators are discussed and the efficiency of the smoothing operators is analyzed. The results are verified for simple 1D advection problems and for a quasi-1D Euler flow. It is shown that a significant decrease in computational effort is possible with the p-multigrid algorithm.

AB - In this article, the wave propagation properties of the 1D spectral volume method are studied through analysis of the Fourier footprint of the schemes. A p-multigrid algorithm for the spectral volume method is implemented. Restriction and prolongation operators are discussed and the efficiency of the smoothing operators is analyzed. The results are verified for simple 1D advection problems and for a quasi-1D Euler flow. It is shown that a significant decrease in computational effort is possible with the p-multigrid algorithm.

KW - spectral volume method

KW - wave propagation properties

KW - p-multigrid

M3 - Article

VL - 224

SP - 616

EP - 636

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

ER -

Dispersion and dissipation properties of the 1D spectral volume method and application to a p-multigrid algorithm

Abstract

Bibliographical note

Keywords

Access to Document

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Cite this