Effect of Mesh Quality on Flux Reconstruction in Multi-dimensions

Theoretical methods are developed to understand the effect of non-uniform grids on Flux Reconstruction (FR) in multi-dimensions. A better theoretical understanding of the effect of wave angle and grid deformation is established. FR is shown to have a smaller variation in properties than some finite...

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Bibliographic Details
Published inJournal of scientific computing Vol. 82; no. 3; p. 77
Main Authors Trojak, Will, Watson, Rob, Scillitoe, Ashley, Tucker, Paul G.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.03.2020
Springer Nature B.V
Subjects
Algorithms
Computational Mathematics and Numerical Analysis
Deformation effects
Finite volume method
Investigations
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Multidimensional methods
Reconstruction
Theoretical
Flux reconstruction
Von Neumann analysis
Mesh quality
76F65
Multiple dimensions
65T99
Fourier analysis
65M60
76M10
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Summary:Theoretical methods are developed to understand the effect of non-uniform grids on Flux Reconstruction (FR) in multi-dimensions. A better theoretical understanding of the effect of wave angle and grid deformation is established. FR is shown to have a smaller variation in properties than some finite difference counterparts. Subsequent numerical experiments on the Taylor–Green Vortex with jittered elements show the effect of localised regions of expansion and contraction. The effect this had on Nodal DG-like schemes was to increase the dissipation, whereas for more typical FR schemes the effect was to increase the dispersion. Some comparison is made between second-order FR and a second-order finite volume (FV) scheme. FR is found to be more resilient to mesh deformation, however, FV is found to be more resolved when operated at second order on the same mesh.
ISSN:0885-7474
1573-7691
DOI:10.1007/s10915-020-01184-2