High Order Flux Reconstruction on Stretched and Warped Meshes

Will Trojak, Rob Watson, Paul G. Tucker

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
265 Downloads (Pure)

Abstract

High-order CFD is gathering a broadening interest as a future industrial tool, with one such approach being Flux Reconstruction (FR). However, due to the need to mesh complex geometries if FR is to displace current, lower order methods, FR will likely have to be applied to stretched and warped meshes. Therefore, it is proposed that the analytical and numerical behaviour of FR on deformed meshes for both the 1D linear advection and the 2D Euler equations is investigated. The analytical foundation of this work is based on a modified von Neumann analysis for linearly deformed grids that is presented. The temporal stability limits for linear advection on such grids are also explored analytically and numerically, with CFL limits set out for several Runge-Kutta schemes, with the primary trend being that contracting mesh regions give rise to higher CFL limits whereas expansion leads to lower CFL limits. Lastly, the benchmarks of FR are compared to finite difference and finite volumes schemes, as are common in industry, with the comparison showing the increased wave propagating ability on warped and stretched meshes, and hence, FR;s increased resilience to mesh deformation.
Original languageEnglish
Pages (from-to)341–351
Number of pages11
JournalAIAA Journal
Volume57
Issue number1
Early online date15 Aug 2018
DOIs
Publication statusPublished - Jan 2019

Bibliographical note

Accepted manusript for AIAA-J, manusricpt DOI: 10.2514/1.J056341

Keywords

  • math.NA

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