Dynamic refinement and boundary contact forces in SPH with applications in fluid flow problems

Feldman, Jerome A.; Bonet, Javier

doi:10.1002/nme.2010

Cited by 206 publications

(143 citation statements)

References 20 publications

(21 reference statements)

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“…They are only used to compute boundary integrals, similarly to what was done by Feldman and Bonet [9]. Their length is set as the initial interparticle spacing, δr.…”

Section: Sph Interpolation In the Frame Of Unified Semi-analytical Wamentioning

confidence: 99%

“…This is why we propose a method to compute γ a analytically without solving (4), which avoids the condition (50). It follows the idea proposed by Feldman and Bonet [9], which consists in writing γ a as a boundary integral by applying Gauss's theorem to (3):…”

Section: Reducing Computational Time: Analytical Computation Of γ a Wmentioning

confidence: 99%

“…De Leffe et al [24] proposed approximate methods to calculate the renormalisation factor while Feldman and Bonet [9] proposed an analytical method for simple wall shapes. In these works, the application of the renormalisation factor in the discrete SPH interpolation formula led to the application of a boundary force in the Navier-Stokes equations.…”

Section: Introductionmentioning

confidence: 99%

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Unified semi-analytical wall boundary conditions applied to 2-D incompressible SPH

Leroy

Violeau

Ferrand³

et al. 2014

Journal of Computational Physics

108

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This work aims at improving the 2-D incompressible SPH model (ISPH) by adapting it to the unified semi-analytical wall boundary conditions proposed by Ferrand et al. [10]. The ISPH algorithm considered is as proposed by Lind et al. [25], based on the projection method with a divergence-free velocity field and using a stabilising procedure based on particle shifting. However, we consider an extension of this model to Reynolds-Averaged Navier-Stokes equations based on the k − ǫ turbulent closure model, as done in [10]. The discrete SPH operators are modified by the new description of the wall boundary conditions. In particular, a boundary term appears in the Laplacian operator, which makes it possible to accurately impose a von Neumann pressure wall boundary condition that corresponds to impermeability. The shifting and free-surface detection algorithms have also been adapted to the new boundary conditions. Moreover, a new way to compute the wall renormalisation factor in the frame of the unified semi-analytical boundary conditions is proposed in order to decrease the computational time. We present several verifications to the present approach, including a lid-driven cavity, a water column collapsing on a wedge and a periodic schematic fish-pass. Our results are compared to Finite Volumes methods, using Volume of Fluids in the case of free-surface flows. We briefly investigate the convergence of the method and prove its ability to model complex free-surface and turbulent flows. The results are generally improved when compared to a weakly compressible SPH model with the same boundary conditions, especially * Corresponding author. tel: +33 (0)6 67 88 92 13Email addresses: agnes.leroy@edf.fr (A. Leroy), damien.violeau@edf.fr (D. Violeau),

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“…They are only used to compute boundary integrals, similarly to what was done by Feldman and Bonet [9]. Their length is set as the initial interparticle spacing, δr.…”

Section: Sph Interpolation In the Frame Of Unified Semi-analytical Wamentioning

confidence: 99%

Section: Reducing Computational Time: Analytical Computation Of γ a Wmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Unified semi-analytical wall boundary conditions applied to 2-D incompressible SPH

Leroy

Violeau

Ferrand³

et al. 2014

Journal of Computational Physics

108

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“…(8) highlights the difference between the particle value f (x i ) and the kernel approximation < f (x i ) >. These values must not be confused [17], even if they can be sufficiently close if h is small enough.…”

Section: Integral Representation Of a Fieldmentioning

confidence: 99%

“…This method was developed by Lucy in 1977 [16] and first applied to astrophysical problems. Thus far, the method has been applied to many problems of continuous and discontinuous dynamics as fluid flow problems [17], damage and fracture [18], impact computation [19] or heat conduction [20]. The main principles of the SPH method are widely developed in [21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Transient Fokker-Planck Equation With SPH Method - Application in Seismic Design

Canor¹,

Denoël²

2014

Proceedings of the 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. In reliability theory, the knowledge of the time evolution of the probability density function (pdf) of the response of a diffusive random system may be required. The time evolution of this pdf is described by the transient Fokker-Planck-Kolmogorov (FPK) Numerical implementation shows notable advantages of SPH method for solving FPK equation in an unbounded state-space compared with mesh-based method : (i) the conservation of total probability is explicitly written, (ii) no artefact is required in low density zones, (iii) the positivity of the pdf is ensured, (iv) the formalism offers straightforward extension to higher dimension systems, (v) the method is adapted for a large kind of initial conditions, even slightly dispersed distributions.In

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Analysis of flow and mixing in screw elements of corotating twin‐screw extruders via SPH

2017

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Due to its meshless nature, the smoothed particle hydrodynamics method (SPH) provides high potential for the simulation of free‐surface flows and mixing in complex geometries. We used SPH to analyze the flow inside five typical screw elements of corotating twin‐screw extruders, two conveying elements, two kneading elements and a mixing element. Our results show conveying capabilities, pressure generation and power input for various operation states, completely and partially filled. We conducted a detailed mixing analysis based on tracer particles, which yielded the time evolution of the intensity of segregation for different tracers. From that, we determined exponential mixing rates, which describe the relative decrease of the intensity of segregation per screw revolution and characterize the mixing performance in different operation states. This provides valuable input information for simplified models of extruders, which are relevant to industrial applications and can significantly contribute to the efficient design, optimization and scale‐up of extruders. © 2017 American Institute of Chemical Engineers AIChE J, 63: 2451–2463, 2017

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Dynamic refinement and boundary contact forces in SPH with applications in fluid flow problems

Cited by 206 publications

References 20 publications

Unified semi-analytical wall boundary conditions applied to 2-D incompressible SPH

Unified semi-analytical wall boundary conditions applied to 2-D incompressible SPH

Transient Fokker-Planck Equation With SPH Method - Application in Seismic Design

Analysis of flow and mixing in screw elements of corotating twin‐screw extruders via SPH

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