CUED Publications database

Effect of Mesh Quality on Flux Reconstruction in Multi-dimensions

Trojak, W and Watson, R and Scillitoe, A and Tucker, PG (2020) Effect of Mesh Quality on Flux Reconstruction in Multi-dimensions. Journal of Scientific Computing, 82. ISSN 0885-7474

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: math.NA math.NA 65M60, 65T99, 76F65, 76M10
Subjects: UNSPECIFIED
Divisions: Div A > Fluid Mechanics
Div A > Energy
Depositing User: Cron Job
Date Deposited: 27 Sep 2018 01:25
Last Modified: 31 Aug 2021 07:55
DOI: 10.1007/s10915-020-01184-2