Feasibility of Adapting Lagrangian Vortex Particle Methods for High-Reynolds Two-Dimensional Flow Simulation.

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Title: Feasibility of Adapting Lagrangian Vortex Particle Methods for High-Reynolds Two-Dimensional Flow Simulation.
Authors: Izmailova, Yu.1 (AUTHOR) yulia.izmailova@mail.ru
Source: Technical Physics. May2026, Vol. 71 Issue 5, p262-272. 11p.
Subjects: Vortex methods, Reynolds number, Flow simulations, Turbulence, Fluid-structure interaction, Computational fluid dynamics, Fluid dynamics
Abstract: Vortex Particle Methods (VPMs) are meshless Lagrangian methods for computational fluid dynamics (CFD) that are particularly efficient for estimating hydrodynamic loads acting on streamlined airfoils (or their systems), especially for highly unsteady flows and complex fluid-structure interaction (FSI) problems. Their key advantages include low numerical diffusion due to their particle-based nature and computational efficiency. However, at moderate and high Reynolds numbers (~103 and higher), the applicability of two-dimensional VPMs becomes restricted. Reliable simulation results can be obtained only for airfoils with sharp edges. For airfoils with smooth boundaries, the simulation results diverge from experimental data because unresolved three-dimensional turbulent effects govern such flows. To demonstrate this, the flow simulation around an immovable circular cylinder from small to high Reynolds numbers was considered. The numerical results for hydrodynamic loads acting on this cylinder were compared using OpenFOAM and an in-house VPM code, VM2D, which implements the Viscous Vortex Domains (VVD) method. Analysis of the velocity field in a vortex wake behind a circular cylinder showed that the spatial and temporal spectra of turbulence kinetic energy follow a power law with an exponent (–3) instead of the classical (–5/3) predicted by Kolmogorov–Obukhov theory. This result matches theoretical expectations for purely two-dimensional flows, where three-dimensional turbulent effects are not simulated. It confirms that 2D VPMs cannot accurately capture turbulent flow behavior around smooth bodies at high Reynolds numbers. The paper also discusses possible ways to improve two-dimensional vortex methods by adding LES-type turbulence models. [ABSTRACT FROM AUTHOR]
Copyright of Technical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Feasibility of Adapting Lagrangian Vortex Particle Methods for High-Reynolds Two-Dimensional Flow Simulation.
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  Data: <searchLink fieldCode="AR" term="%22Izmailova%2C+Yu%2E%22">Izmailova, Yu.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> yulia.izmailova@mail.ru</i>
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  Data: <searchLink fieldCode="JN" term="%22Technical+Physics%22">Technical Physics</searchLink>. May2026, Vol. 71 Issue 5, p262-272. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Vortex+methods%22">Vortex methods</searchLink><br /><searchLink fieldCode="DE" term="%22Reynolds+number%22">Reynolds number</searchLink><br /><searchLink fieldCode="DE" term="%22Flow+simulations%22">Flow simulations</searchLink><br /><searchLink fieldCode="DE" term="%22Turbulence%22">Turbulence</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid-structure+interaction%22">Fluid-structure interaction</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+fluid+dynamics%22">Computational fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Vortex Particle Methods (VPMs) are meshless Lagrangian methods for computational fluid dynamics (CFD) that are particularly efficient for estimating hydrodynamic loads acting on streamlined airfoils (or their systems), especially for highly unsteady flows and complex fluid-structure interaction (FSI) problems. Their key advantages include low numerical diffusion due to their particle-based nature and computational efficiency. However, at moderate and high Reynolds numbers (~103 and higher), the applicability of two-dimensional VPMs becomes restricted. Reliable simulation results can be obtained only for airfoils with sharp edges. For airfoils with smooth boundaries, the simulation results diverge from experimental data because unresolved three-dimensional turbulent effects govern such flows. To demonstrate this, the flow simulation around an immovable circular cylinder from small to high Reynolds numbers was considered. The numerical results for hydrodynamic loads acting on this cylinder were compared using OpenFOAM and an in-house VPM code, VM2D, which implements the Viscous Vortex Domains (VVD) method. Analysis of the velocity field in a vortex wake behind a circular cylinder showed that the spatial and temporal spectra of turbulence kinetic energy follow a power law with an exponent (–3) instead of the classical (–5/3) predicted by Kolmogorov–Obukhov theory. This result matches theoretical expectations for purely two-dimensional flows, where three-dimensional turbulent effects are not simulated. It confirms that 2D VPMs cannot accurately capture turbulent flow behavior around smooth bodies at high Reynolds numbers. The paper also discusses possible ways to improve two-dimensional vortex methods by adding LES-type turbulence models. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Technical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1134/S1063784226700258
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      – Code: eng
        Text: English
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        PageCount: 11
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    Subjects:
      – SubjectFull: Vortex methods
        Type: general
      – SubjectFull: Reynolds number
        Type: general
      – SubjectFull: Flow simulations
        Type: general
      – SubjectFull: Turbulence
        Type: general
      – SubjectFull: Fluid-structure interaction
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      – SubjectFull: Computational fluid dynamics
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      – SubjectFull: Fluid dynamics
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      – TitleFull: Feasibility of Adapting Lagrangian Vortex Particle Methods for High-Reynolds Two-Dimensional Flow Simulation.
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            – D: 01
              M: 05
              Text: May2026
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              Y: 2026
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