Treatment of unphysical numerical oscillations via local grid refinement

Unphysical numerical oscillations (UNOs) arise when a non-dissipative scheme is employed to discretize fluid equations on a coarse grid. Treating UNOs often relies on upwind schemes, digital filtration, artificial viscosity, or adaptive mesh refinement, which are either too dissipative or too costly...

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Bibliographic Details
Published inPhysics of fluids (1994) Vol. 33; no. 7
Main Authors Xu, Haosen H. A., Yang, Xiang I. A.
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.07.2021
Subjects
Computational fluid dynamics
Flow velocity
Fluid dynamics
Fluid flow
Grid refinement (mathematics)
Laminar flow
Oscillations
Physics
Three dimensional flow
Two dimensional flow
Upwind schemes (mathematics)
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Summary:Unphysical numerical oscillations (UNOs) arise when a non-dissipative scheme is employed to discretize fluid equations on a coarse grid. Treating UNOs often relies on upwind schemes, digital filtration, artificial viscosity, or adaptive mesh refinement, which are either too dissipative or too costly. We propose an alternative solution by refining one grid in regions where the flow velocity changes drastically. The effectiveness of our single-point grid refinement strategy is tested in various two-dimensional and three-dimensional flows at both laminar and turbulent flow conditions, and the results are highly favorable.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0054642