Comparing inviscid and viscous flows around moving plates

We compare an inviscid vortex sheet model with continuous leading-edge shedding with direct Navier–Stokes simulations over a wide range of unsteady plate motions at moderate Reynolds number ( italic Re almost equals 1000 Re ≈ 1000 ${\textit{Re}} \approx 1000$ ). Approximately 70 70 $70$ distinct kinematic configurations are examined, spanning both body-dominated and flow-dominated regimes. In body-dominated motions, where the fluid dynamics are primarily driven by prescribed plate accelerations, the inviscid model accurately reproduces normal force histories and the qualitative structure of the induced vorticity field. In flow-dominated configurations, with quasi-periodic vortex shedding, agreement with force predictions is good but reduced at low angles of attack, reflecting the greater sensitivity of vortex shedding dynamics to physical and computational parameters. The ability of the present formulation to accommodate stable, continuous leading-edge vortex shedding enables uniform comparisons across diverse motions and clarifies the regimes in which inviscid vortex sheet models can be used reliably for force prediction and physical interpretation.

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Publication Details

Journal
Journal of Fluid Mechanics
Published
2026-10-15
DOI
https://doi.org/10.1017/jfm.2026.12119
Primary Topic
Fluid Dynamics and Vibration Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Comparing inviscid and viscous flows around moving plates

Silas Alben, Yu Jun Loo
Journal of Fluid Mechanics
Fluid Dynamics and Vibration Analysis
article

Comparing inviscid and viscous flows around moving plates

Silas Alben, Yu Jun Loo
article en

Abstract

We compare an inviscid vortex sheet model with continuous leading-edge shedding with direct Navier–Stokes simulations over a wide range of unsteady plate motions at moderate Reynolds number ( italic Re almost equals 1000 Re ≈ 1000 ${\textit{Re}} \approx 1000$ ). Approximately 70 70 $70$ distinct kinematic configurations are examined, spanning both body-dominated and flow-dominated regimes. In body-dominated motions, where the fluid dynamics are primarily driven by prescribed plate accelerations, the inviscid model accurately reproduces normal force histories and the qualitative structure of the induced vorticity field. In flow-dominated configurations, with quasi-periodic vortex shedding, agreement with force predictions is good but reduced at low angles of attack, reflecting the greater sensitivity of vortex shedding dynamics to physical and computational parameters. The ability of the present formulation to accommodate stable, continuous leading-edge vortex shedding enables uniform comparisons across diverse motions and clarifies the regimes in which inviscid vortex sheet models can be used reliably for force prediction and physical interpretation.

Journal of Fluid MechanicsVol. 1045
University of Michigan (US)
National Science Foundation
Openalex Percentile: Top 19%
Fluid Dynamics and Vibration Analysis
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