Certifiable computational fluid dynamics through mesh optimization

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DOI	Resolve DOI: https://doi.org/10.2514/2.458
Author	Search for: Habashi, W. G.; Search for: Dompierre, J.; Search for: Bourgault, Y.; Search for: Fortin, M.; Search for: Vallet, M. -G.¹
Affiliation	National Research Council of Canada. NRC Industrial Materials Institute
Format	Text, Article
Abstract	The accuracy and reliability of computational fluid dynamics (CFD) are addressed by proposing a novel, efficient, and generic mesh optimization approach. By using an appropriate directional error estimator, coupled with an effective mesh adaptation technique that is tied closely to the solver, it can be demonstrated that, for each flow condition and geometry combination, a controllable error level and an optimal mesh can be obtained. It is further demonstrated that such an optimal mesh can be reached from almost any reasonable initial grid and, more astonishingly, that the order of accuracy of well-posed numerical algorithms has a considerably reduced impact on solution accuracy if the mesh is well adapted. Thus, the proposed approach can be considered a first step toward user-, mesh-, and solver-independent, and thus certifiable, CFD.
Publication date	1998-05
Publisher	American Institute of Aeronautics and Astronautics
In	AIAA Journal 36, no. 5: 703–711.
Language	English
Peer reviewed	Yes
NRC number	NRCC 40575 NRC_IMI-96AP-50302-71085-G
NPARC number	23003016
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Record identifier	34317dc7-683b-42d7-8057-6815d2f46796
Record created	2018-04-12
Record modified	2020-03-20

Date modified:: 2025-11-15