Finite pointset method for simulation of the liquid–liquid flow field in an extractor

Drumm, Christian; Tiwari, Sudarshan; Kuhnert, Jörg; Bart, Hans‐Jörg

doi:10.1016/j.compchemeng.2008.03.009

Cited by 68 publications

(70 citation statements)

References 22 publications

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“…Therefore different shapes and sizes of the SPH particles increase the difficulty in implementing the contact algorithm. During the course of SPH development, different contact algorithms have emerged [126][127][128][129][130][131][132][133][134][135][136][137][138][139][140][141][142]. For simplicity, only SPH models with circular or spherical shaped particles are discussed here.…”

Section: Materials Interface Treatmentmentioning

confidence: 99%

Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments

Liu

2010

Arch Computat Methods Eng

1,529

682

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Smoothed particle hydrodynamics (SPH) is a meshfree particle method based on Lagrangian formulation, and has been widely applied to different areas in engineering and science. This paper presents an overview on the SPH method and its recent developments, including (1) the need for meshfree particle methods, and advantages of SPH, (2) approximation schemes of the conventional SPH method and numerical techniques for deriving SPH formulations for partial differential equations such as the Navier-Stokes (N-S) equations, (3) the role of the smoothing kernel functions and a general approach to construct smoothing kernel functions, (4) kernel and particle consistency for the SPH method, and approaches for restoring particle consistency, (5) several important numerical aspects, and (6) some recent applications of SPH. The paper ends with some concluding remarks.

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Section: Materials Interface Treatmentmentioning

confidence: 99%

Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments

Liu

2010

Arch Computat Methods Eng

1,529

682

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“…As mentioned earlier, the fluid velocity is not calculated explicitly and instead, we take the fluid velocity at the location of the ith particle as a weighted function of the velocities of the neighbouring particles. For this purpose, we use a weighted average of the velocities of the surrounding particles, similar to Drumm et al [5], given by…”

Section: Discrete Element Modelmentioning

confidence: 99%

“…This choice of weight function is based on the work of Drumm et al [5] and arises from the requirement that velocity at a point in the fluid is most affected by particles in its immediate neighborhood. In addition, the effect of a given particle decreases as the distance from the point under consideration increases.…”

Section: Discrete Element Modelmentioning

confidence: 99%

A novel coupled fluid–particle DEM for simulating dense granular slurry dynamics

et al. 2015

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We study two-dimensional flow of a granular slurry in a lid driven cavity using novel coupled fluid-particle discrete element simulations. The particles are assumed to be linearly elastic and fully immersed in a Newtonian fluid. In contrast to previous approaches to coupling fluid particle interactions, the fluid-particle interaction in the present study is modeled purely through Stokes' drag. This assumption is based on the fluid inertia being small in comparison to particle inertia. Using this model, we study mixing of two initially stratified layers of the granular material in a belt-driven square cavity. We also study the microscopic aspects of the mixing process by monitoring the breakup of representative unit cells. Higher belt velocities are observed to require lower overall energy to achieve a well-mixed state.

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“…r min and r max usually have values of approximately 0.2 and 0.45 respectively. Further details about point cloud organization and management, including the setup of the initial point cloud, can be found in [7,13].…”

Section: Meshfree Generalized Finite Difference Methodsmentioning

confidence: 99%

“…However, these advantages come with the drawback of a lack of formal conservation. Despite the lack of conservation, the FPM has been shown to be a robust method with many practical applications [7,13,34,37]. The FPM is also used as the numerical basis of two commercially used meshfree simulation tools: NOGRID [25] and the meshfree module of VPS-PAMCRASH [36].…”

Section: Introductionmentioning

confidence: 99%

A flux conserving meshfree method for conservation laws

Suchde

Kuhnert

Schröder

et al. 2017

Numerical Meth Engineering

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SUMMARYLack of conservation has been the biggest drawback in meshfree generalized finite difference methods (GFDMs). In this paper, we present a novel modification of classical meshfree GFDMs to include local balances which produce an approximate conservation of numerical fluxes. This numerical flux conservation is done within the usual moving least squares framework. Unlike Finite Volume Methods, it is based on locally defined control cells, rather than a globally defined mesh. We present the application of this method to an advection diffusion equation and the incompressible Navier-Stokes equations. Our simulations show that the introduction of flux conservation significantly reduces the errors in conservation in meshfree GFDMs.

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Finite pointset method for simulation of the liquid–liquid flow field in an extractor

Cited by 68 publications

References 22 publications

Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments

Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments

A novel coupled fluid–particle DEM for simulating dense granular slurry dynamics

A flux conserving meshfree method for conservation laws

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