High order flux reconstruction on stretched and warped meshes

William Trojak; Rob Watson; Paul G. Tucker

doi:10.2514/6.2017-0521

High order flux reconstruction on stretched and warped meshes

William Trojak, Rob Watson, Paul G. Tucker

School of Mechanical and Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

Abstract

High-order CFD is gathering a broadening interest as a future industrial tool, one such approach is Flux Reconstruction (FR). However, to displace current, lower order, methods FR will likely have to be applied to stretched and warped meshes through the need to mesh complex geometries. The analytical and numerical behaviour of FR on deformed meshes is therefore carried out for both 1. D linear advection and the 2. D Euler equation. By direct comparison with Finite Difference (FD) and Finite Volume (FV) schemes widely used in industry it it shown that FR has increased wave propagating ability on warped and stretched meshes due to increase resilience to mesh deformation. Lastly the importance of a Jacobian order consistent with the underlying scheme order is shown via a degradation of FR order on highly warped meshes.

Original language	English
Title of host publication	AIAA SciTech Forum - 55th AIAA Aerospace Sciences Meeting: Proceedings
Publisher	American Institute of Aeronautics and Astronautics Inc. (AIAA)
Number of pages	12
ISBN (Electronic)	9781624104473
DOIs	https://doi.org/10.2514/6.2017-0521
Publication status	Published - 09 Jan 2017
Event	55th AIAA Aerospace Sciences Meeting - Grapevine, United States Duration: 09 Jan 2017 → 13 Jan 2017

Conference

Conference	55th AIAA Aerospace Sciences Meeting
Country/Territory	United States
City	Grapevine
Period	09/01/2017 → 13/01/2017

ASJC Scopus subject areas

Aerospace Engineering

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title = "High order flux reconstruction on stretched and warped meshes",

abstract = "High-order CFD is gathering a broadening interest as a future industrial tool, one such approach is Flux Reconstruction (FR). However, to displace current, lower order, methods FR will likely have to be applied to stretched and warped meshes through the need to mesh complex geometries. The analytical and numerical behaviour of FR on deformed meshes is therefore carried out for both 1. D linear advection and the 2. D Euler equation. By direct comparison with Finite Difference (FD) and Finite Volume (FV) schemes widely used in industry it it shown that FR has increased wave propagating ability on warped and stretched meshes due to increase resilience to mesh deformation. Lastly the importance of a Jacobian order consistent with the underlying scheme order is shown via a degradation of FR order on highly warped meshes.",

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AU - Trojak, William

AU - Watson, Rob

AU - Tucker, Paul G.

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N2 - High-order CFD is gathering a broadening interest as a future industrial tool, one such approach is Flux Reconstruction (FR). However, to displace current, lower order, methods FR will likely have to be applied to stretched and warped meshes through the need to mesh complex geometries. The analytical and numerical behaviour of FR on deformed meshes is therefore carried out for both 1. D linear advection and the 2. D Euler equation. By direct comparison with Finite Difference (FD) and Finite Volume (FV) schemes widely used in industry it it shown that FR has increased wave propagating ability on warped and stretched meshes due to increase resilience to mesh deformation. Lastly the importance of a Jacobian order consistent with the underlying scheme order is shown via a degradation of FR order on highly warped meshes.

AB - High-order CFD is gathering a broadening interest as a future industrial tool, one such approach is Flux Reconstruction (FR). However, to displace current, lower order, methods FR will likely have to be applied to stretched and warped meshes through the need to mesh complex geometries. The analytical and numerical behaviour of FR on deformed meshes is therefore carried out for both 1. D linear advection and the 2. D Euler equation. By direct comparison with Finite Difference (FD) and Finite Volume (FV) schemes widely used in industry it it shown that FR has increased wave propagating ability on warped and stretched meshes due to increase resilience to mesh deformation. Lastly the importance of a Jacobian order consistent with the underlying scheme order is shown via a degradation of FR order on highly warped meshes.

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M3 - Conference contribution

BT - AIAA SciTech Forum - 55th AIAA Aerospace Sciences Meeting: Proceedings

PB - American Institute of Aeronautics and Astronautics Inc. (AIAA)

T2 - 55th AIAA Aerospace Sciences Meeting

Y2 - 9 January 2017 through 13 January 2017

ER -

High order flux reconstruction on stretched and warped meshes

Abstract

Conference

ASJC Scopus subject areas

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