On the maximum time step in weakly compressible SPH

Violeau, Damien; Leroy, Agnès

doi:10.1016/j.jcp.2013.09.001

Cited by 69 publications

(40 citation statements)

References 34 publications

(53 reference statements)

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“…A recent article [94] proposes a detailed investigation on maximum admissible time steps for WCSPH. In the subsequent simulations, we used three types of boundary conditions (BC): no-slip wall (superscript w), periodic and inlet/outlet (superscripts in and out).…”

Section: Corrector Stepmentioning

confidence: 99%

Comparison of multiphase SPH and LBM approaches for the simulation of intermittent flows

et al. 2019

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Smoothed Particle Hydrodynamics (SPH) and Lattice Boltzmann Method (LBM) are increasingly popular and attractive methods that propose efficient multiphase formulations, each one with its own strengths and weaknesses. In this context, when it comes to study a given multi-fluid problem, it is helpful to rely on a quantitative comparison to decide which approach should be used and in which context. In particular, the simulation of intermittent two-phase flows in pipes such as slug flows is a complex problem involving moving and intersecting interfaces for which both SPH and LBM could be considered. It is a problem of interest in petroleum applications since the formation of slug flows that can occur in submarine pipelines connecting the wells to the production facility can cause undesired behaviors with hazardous consequences. In this work, we compare SPH and LBM multiphase formulations where surface tension effects are modeled respectively using the continuum surface force and the color gradient approaches on a collection of standard test cases, and on the simulation of intermittent flows in 2D. This paper aims to highlight the contributions and limitations of SPH and LBM when applied to these problems. First, we compare our implementations on static bubble problems with different density and viscosity ratios. Then, we focus on gravity driven simulations of slug flows in pipes for several Reynolds numbers. Finally, we conclude with simulations of slug flows with inlet/outlet boundary conditions. According to the results presented in this study, we confirm that the SPH approach is more robust and versatile whereas the LBM formulation is more accurate and faster.

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Section: Corrector Stepmentioning

confidence: 99%

Comparison of multiphase SPH and LBM approaches for the simulation of intermittent flows

et al. 2019

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“…Details about this algorithm are provided in [26]. The numerical stability is based on the concepts discussed in [53] and the time step is selected in accordance to the following criterion:…”

Section: Mixture Model For Dense Granular Flowsmentioning

confidence: 99%

WCSPH with Limiting Viscosity for Modeling Landslide Hazard at the Slopes of Artificial Reservoir

Manenti

Amicarelli²,

Todeschini

2018

Water

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Abstract:This work illustrated an application of the FOSS code SPHERA v.8.0 (RSE SpA, Milano, Italy) to the simulation of landslide hazard at the slope of a water basin. SPHERA is based on the weakly compressible SPH method (WCSPH) and holds a mixture model, consistent with the packing limit of the Kinetic Theory of Granular Flow (KTGF), which was previously tested for simulating two-phase free-surface rapid flows involving water-sediment interaction. In this study a limiting viscosity parameter was implemented in the previous formulation of the mixture model to limit the growth of the apparent viscosity, thus saving computational time while preserving the solution accuracy. This approach is consistent with the experimental behavior of high polymer solutions for which an almost constant value of viscosity may be approached at very low deformation rates near the transition zone of elastic-plastic regime. In this application, the limiting viscosity was used as a numerical parameter for optimization of the computation. Some preliminary tests were performed by simulating a 2D erosional dam break, proving that a proper selection of the limiting viscosity leads to a considerable drop of the computational time without altering significantly the numerical solution. SPHERA was then validated by simulating a 2D scale experiment reproducing the early phase of the Vajont landslide when a tsunami wave was generated that climbed the opposite mountain side with a maximum run-up of about 270 m. The obtained maximum run-up was very close to the experimental result. Influence of saturation of the landslide material below the still water level was also accounted, showing that the landslide dynamics can be better represented and the wave run-up can be properly estimated.

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“…A recent article [68] investigated in detail what is the maximum admissible timestep in the WCSPH context.…”

Section: )mentioning

confidence: 99%

Simulations of intermittent two-phase flows in pipes using smoothed particle hydrodynamics

et al. 2018

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Slug flows are a typical intermittent two-phase flow pattern that can occur in submarine pipelines connecting the wells to the production facility and that is known to cause undesired consequences. In this context, computational fluid dynamics appears to be the tool of choice to understand their formation. However, few direct numerical simulations of slug flows are available in the literature, especially using meshless methods which are known to be capable of handling complex problems involving interfaces.In this work, a 2D study of the instability processes leading to the formation of intermittent flows in pipes is conducted using an existing multiphase smoothed particle hydrodynamics formulation associated with inlet and outlet boundary conditions. This paper aims to demonstrate the applicability of smoothed particle hydrodynamics to a given set of close-to-industry cases.First, we check the ability of our implementation to reproduce flow regimes predicted by Taitel and Duckler's flow map. Then, we focus on the transition processes from one flow pattern to the other. Finally, we present the results obtained for more realistic cases with high density and viscosity ratios.

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On the maximum time step in weakly compressible SPH

Cited by 69 publications

References 34 publications

Comparison of multiphase SPH and LBM approaches for the simulation of intermittent flows

Comparison of multiphase SPH and LBM approaches for the simulation of intermittent flows

WCSPH with Limiting Viscosity for Modeling Landslide Hazard at the Slopes of Artificial Reservoir

Simulations of intermittent two-phase flows in pipes using smoothed particle hydrodynamics

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