Incompressible moving boundary flows with the finite volume particle method

Nestor, Ruairi M.; Quinlan, Nathan J.

doi:10.1016/j.cma.2010.03.015

Cited by 18 publications

(23 citation statements)

References 44 publications

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“…The method with particle shifting is called ISPH_DFS. The idea of shifting particle positions has been proposed previously in the context of the Finite Volume Particle Method (FVPM) by Nestor et al [22]. This allows the use of particle velocities with a correction, u 0 , added to conserve fluid momentum.…”

Section: Isph Based On Combining Both a Divergence-free Velocity Fielmentioning

confidence: 98%

“…(34). Similar to the velocity correction equation, u 0 , in [22], but modifying the particle shifting magnitude, a, in relation to the particle convection distance and the particle size, the position shift reads…”

Section: Isph Based On Combining Both a Divergence-free Velocity Fielmentioning

confidence: 99%

“…A value of 0.04 is generally used. In [22], an average particle spacing, as defined in Eq. (37), is used as the shifting magnitude a, considering the influence of particle size.…”

Section: Isph Based On Combining Both a Divergence-free Velocity Fielmentioning

confidence: 99%

See 2 more Smart Citations

Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach

Xu¹,

Stansby²,

Laurence³

2009

Journal of Computational Physics

588

387

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Section: Isph Based On Combining Both a Divergence-free Velocity Fielmentioning

confidence: 98%

Section: Isph Based On Combining Both a Divergence-free Velocity Fielmentioning

confidence: 99%

See 1 more Smart Citation

Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach

Xu¹,

Stansby²,

Laurence³

2009

Journal of Computational Physics

588

387

View full text Add to dashboard Cite

“…Aiming to minimize this problem, Monaghan [29] proposed the so-called XSPH variant, which modifies the particle movement based on the local average velocity to attain a more isotropic particle distribution. On the other hand, the 'particle shifting' algorithm, developed by Xu et al [5] based on the earlier work of Nestor et al [14], has proved to be more effective and robust. On the other hand, the 'particle shifting' algorithm, developed by Xu et al [5] based on the earlier work of Nestor et al [14], has proved to be more effective and robust.…”

Section: Modified Particle Shifting Algorithmmentioning

confidence: 99%

“…In the latter, a projection method is typically used to solve the pressure in the field, which also increases the accuracy of the calculation for this field variable [4,10]. In this context, special emphasis must be given to 'particle shifting' [5], a tool designed to improve the robustness and accuracy of the ISPH formulation, based on a particle correction methodology previously introduced for the finite volume (FV) particle method [14]. Recently, various researchers dedicated their efforts to improve the accuracy of SPH for both algorithms, for example [5][6][7][11][12][13] among others.…”

Section: Introductionmentioning

confidence: 99%

An innovative open boundary treatment for incompressible SPH

Khorasanizade

Sousa

2015

Numerical Methods in Fluids

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Summary An innovative inflow/outflow boundary treatment has been proposed to be used in smoothed particle hydrodynamics (SPH). Among other strategies, it involves the use of extended regions at open boundary sections and a procedure to enforce the mass continuity constraint, as well as to minimize outflow reflections. This methodology has been coupled with a modified ‘particle shifting’ algorithm, so that the robustness of the method could be ensured at high Reynolds number regimes. Confined flow around a square cylinder with an open outflow has been selected as the flow problem to analyze the performance of the new method. Detailed comparisons with data available in the literature for a variety of mesh‐based methods have been made for two different values of the blockage ratio β, namely for β = 1/4 and 1/8, and a range of supercritical Reynolds numbers. The results obtained with the present implementation of truly incompressible SPH have demonstrated numerical accuracy comparable with that of other methods, as well as the success of the open boundary treatment. A direct comparison with previously published SPH results for a distinct blockage ratio, namely for β = 1/5, has also revealed that a major improvement has been achieved by the use of the method described in this paper. Copyright © 2015 John Wiley & Sons, Ltd.

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Enhancement of the accuracy of the finite volume particle method for the simulation of incompressible flows

Liu

Morita

Zhang

2017

Numerical Methods in Fluids

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A finite volume particle (FVP) method for simulation of incompressible flows that provides enhanced accuracy is proposed. In this enhanced FVP (EFVP) method, a dummy neighbor particle is introduced for each particle in the calculation, and higher order discretization of the gradient model and Laplacian model is realized. A numerical test to assess accuracy and convergence and several 2‐dimensional numerical simulations are given to confirm its enhanced performance.

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Incompressible moving boundary flows with the finite volume particle method

Cited by 18 publications

References 44 publications

Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach

Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach

An innovative open boundary treatment for incompressible SPH

Enhancement of the accuracy of the finite volume particle method for the simulation of incompressible flows

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