A multiresolution remeshed Vortex-In-Cell algorithm using patches

Rasmussen, J.; Cottet, Georges-Henri; Walther, Jens Honoré

doi:10.1016/j.jcp.2011.05.006

Cited by 40 publications

(45 citation statements)

References 35 publications

(58 reference statements)

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“…where u is the velocity of the solid body and denotes a mask function that yields 0 in a fluid and 1 in a solid [16,18].…”

Section: Brinkman Penalization Methods For Diffusionmentioning

confidence: 99%

“…To avoid too small time step, the penalization term is evaluated by the implicit expression [16,18,30]:…”

Section: Brinkman Penalization Methods For Diffusionmentioning

confidence: 99%

“…We employed the hybrid particle-mesh method and the vorticity-based subgrid scale model to undertake a numerical flow simulation. The hybrid particle-mesh method is a combination of the vortexin-cell (VIC) method (see [12][13][14][15] and references therein) and the penalization technique [16], which has been developed in recent years (see [17][18][19][20][21][22][23][24] for a review). The hybrid particle-mesh method enables the use of fast and efficient techniques for computing differential operators, thereby enabling large scale simulations.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Investigation on Vortex Shedding from a Hydrofoil with a Beveled Trailing Edge

Lee

Suh

2015

Modelling and Simulation in Engineering

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To better understand the vortex shedding mechanism and to assess the capability of our numerical methodology, we conducted numerical investigations of vortex shedding from truncated and oblique trailing edges of a modified NACA 0009 hydrofoil. The hybrid particle-mesh method and the vorticity-based subgrid scale model were employed to simulate these turbulent wake flows. The hybrid particle-mesh method combines the vortex-in-cell and the penalization methods. We have implemented numerical schemes to more efficiently use available computational resources. In this study, we numerically investigated vortex shedding from various beveled trailing edges at a Reynolds number of 10 6 . We then compared the numerical results with the experimental data, which show good agreement. We also conducted numerical simulations of wakes behind the hydrofoil at rest in periodically varying flows. Results reveal that vortex shedding is affected by the periodicity of a free-stream flow, as well as the trailing-edge shape.

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“…where u is the velocity of the solid body and denotes a mask function that yields 0 in a fluid and 1 in a solid [16,18].…”

Section: Brinkman Penalization Methods For Diffusionmentioning

confidence: 99%

“…To avoid too small time step, the penalization term is evaluated by the implicit expression [16,18,30]:…”

Section: Brinkman Penalization Methods For Diffusionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical Investigation on Vortex Shedding from a Hydrofoil with a Beveled Trailing Edge

Lee

Suh

2015

Modelling and Simulation in Engineering

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“…Multi-resolution LPM include wavelet reproducing-kernel particle methods (WRKPM) [28], wavelet particle methods (WPM) [7], adaptive mesh refinement (AMR) as applied to particle methods [8,32], and adaptive tree codes [31]. Wavelet particle methods combine a sparse multi-resolution representation of the solution with a Lagrangian adaptation mechanism [7].…”

Section: Introductionmentioning

confidence: 99%

“…Wavelet particle methods combine a sparse multi-resolution representation of the solution with a Lagrangian adaptation mechanism [7]. AMR-type particle methods employ hierarchies of overlapping mesh patches onto which the particles are remeshed at every time step [8,32].…”

Section: Introductionmentioning

confidence: 99%

A self-organizing Lagrangian particle method for adaptive-resolution advection–diffusion simulations

Reboux

Schrader

Sbalzarini

2012

Journal of Computational Physics

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We present a novel adaptive-resolution particle method for continuous parabolic problems. In this method, particles self-organize in order to adapt to local resolution requirements. This is achieved by pseudo forces that are designed so as to guarantee that the solution is always well sampled and that no holes or clusters develop in the particle distribution. The particle sizes are locally adapted to the length scale of the solution. Differential operators are consistently evaluated on the evolving set of irregularly distributed particles of varying sizes using discretization-corrected operators. The method does not rely on any global transforms or mapping functions. After presenting the method and its error analysis, we demonstrate its capabilities and limitations on a set of two-and three-dimensional benchmark problems. These include advection-diffusion, the Burgers equation, the Buckley-Leverett five-spot problem, and curvature-driven level-set surface refinement. AbstractWe present a novel adaptive-resolution particle method for continuous parabolic problems. In this method, particles self-organize in order to adapt to local resolution requirements. This is achieved by pseudo forces that are designed so as to guarantee that the solution is always well sampled and that no holes or clusters develop in the particle distribution. The particle sizes are locally adapted to the length scale of the solution. Differential operators are consistently evaluated on the evolving set of irregularly distributed particles of varying sizes using discretization-corrected operators. The method does not rely on any global transforms or mapping functions. After presenting the method and its error analysis, we demonstrate its capabilities and limitations on a set of two-and three-dimensional benchmark problems. These include advection-diffusion, the Burgers equation, the Buckley-Leverett five-spot problem, and curvature-driven level-set surface refinement.

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Vortex penalization method for bluff body flows

Mimeau

Gallizio

Cottet

et al. 2015

Numerical Methods in Fluids

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International audienceIn this work, a penalization method is discussed in the context of vortex methods for incompressible flowsaround complex geometries. In particular, we illustrate the method in two cases: the flow around a rotatingblade for Reynolds numbers 1000 and 10,000 and the flow past a semi-circular body consisting of a porouslayer surrounding a rigid body at Reynolds numbers 550 and 3000. In the latter example, the results areinterpreted in terms of control strategy

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A multiresolution remeshed Vortex-In-Cell algorithm using patches

Cited by 40 publications

References 35 publications

Numerical Investigation on Vortex Shedding from a Hydrofoil with a Beveled Trailing Edge

Numerical Investigation on Vortex Shedding from a Hydrofoil with a Beveled Trailing Edge

A self-organizing Lagrangian particle method for adaptive-resolution advection–diffusion simulations

Vortex penalization method for bluff body flows

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