An accurate multi-regime SPH scheme for barotropic flows

Collé, Anthony; Limido, Jérôme; Vila, Jean‐Paul

doi:10.1016/j.jcp.2019.03.028

Cited by 6 publications

(13 citation statements)

References 49 publications

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“…In this section the γ-SPH-ALE scheme is detailed in the context of Euler equations [7]. The general SPH framework is explained and then applied to the ALE context.…”

Section: γ -Sph-alementioning

confidence: 99%

“…To ensure that the proposed scheme is conservative, robust, stable, and consistent, stability conditions on the scheme parameters are exhibited thanks to nonlinear stability analysis. We refer to [7] for the detailed proof in the context of monophasic barotropic Euler equations. These properties are validated on numerous academic test cases going from hydrodynamics to solid dynamics [7,10].…”

Section: Extension To Solid Dynamicsmentioning

confidence: 99%

“…We refer to [7] for the detailed proof in the context of monophasic barotropic Euler equations. These properties are validated on numerous academic test cases going from hydrodynamics to solid dynamics [7,10]. γ-SPH-ALE is also fully implemented in the Impetus Afea Solver® benefiting from massive GPU parallelization allowing it to provide such compelling results 100 times faster than legacy SPH solvers.…”

Section: Extension To Solid Dynamicsmentioning

confidence: 99%

“…However, facing a huge compromise between accuracy and computation times particularly regarding the jet fragmentation process, Lagrangian and ALE approaches were then evaluated [3,5,6]. Among them is the Smoothed Particle Hydrodynamics method and we focus here on a recent method called γ-SPH-ALE [7]. The combination of the SPH-ALE formalism [8] and a finite volume low-Mach scheme [9] provides consistent and robust stabilization to well-known SPH instabilities such as spurious oscillations and tensile instability.…”

Section: Introductionmentioning

confidence: 99%

“…The combination of the SPH-ALE formalism [8] and a finite volume low-Mach scheme [9] provides consistent and robust stabilization to well-known SPH instabilities such as spurious oscillations and tensile instability. Benefiting from a massively parallelGPU implementation, it provides convincing and reliable results on numerous academic test cases going from hydrodynamics [7] to solid dynamics [10] in reduced computation times contrary to legacy SPH solvers. Thus, we propose to evaluate its capabilities regarding shaped charge modeling.…”

Section: Introductionmentioning

confidence: 99%

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Innovative meshless approach for shaped charges applications

Collé¹,

Limido²,

Unfer³

et al. 2022

J. Phys.: Conf. Ser.

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We focus here on modelling shaped charges. Combining large deformations, numerous interfaceproductions, and strong damage mechanisms, those events are particularly challenging from a numerical point of view. Eulerian finite element methods are classically used for such modeling.However, they induce very long computation times, accuracy losses (projection algorithms), anddifficulties with opening criteria related to jet fragmentation. Among the Lagrangian approaches, the meshless method called Smoothed Particle Hydrodynamics (SPH) appears as a relevant alternative to prevent such shortcomings. Based on a set of moving interpolation points, it disregards any connectivity between its elements which makes it naturally well suited to handle material failure. Nevertheless, SPH schemes suffer from well-known instabilities questioning their accuracy and activating nonphysical processes,such as numerical fragmentation. Many stabilizing tools are available in the literature however, they either raise conservation and consistency issues or drastically increase the computation times. We propose then to use an alternative scheme called γ-SPH-ALE. Based on the ALE framework, it achieves robust and consistent stabilization through an arbitrary description of motion. Thanks to CFL-like conditions obtained through a nonlinear stability analysis, the scheme stability is ensured. By preventing spurious oscillations in elastic waves and correcting the so-called tensile instability, both stability and accuracy are increased regarding classical approaches. Also, taking advantage of GPU computing, such results are achieved in reduced computation times contrary to classical CPUimplementations. Its implementation on a “Viper” shaped charge shows that the scheme handles the jet generation process as well as its resulting interaction with a target.

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“…In this section the γ-SPH-ALE scheme is detailed in the context of Euler equations [7]. The general SPH framework is explained and then applied to the ALE context.…”

Section: γ -Sph-alementioning

confidence: 99%

Section: Extension To Solid Dynamicsmentioning

confidence: 99%

Section: Extension To Solid Dynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Innovative meshless approach for shaped charges applications

Collé¹,

Limido²,

Unfer³

et al. 2022

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

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A simple Eulerian–Lagrangian weakly compressible smoothed particle hydrodynamics method for fluid flow and heat transfer

Yoo

Kim

et al. 2022

Numerical Meth Engineering

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In this article, we propose a simple, consistent, and robust Eulerian-Lagrangian weakly compressible smoothed particle hydrodynamics (EL-WCSPH) for the simulation of hydrodynamics and convection heat transfer problems. First, the basic governing equation is formulated using the ALE-SPH framework. The universal formulation is similar to the standard WCSPH, but the degree of Eulerian and Lagrangian schemes can be controlled by inserting a pre-defined arbitrary parameter α ∈ [0, 1]. To alleviate potential numerical errors and inconsistency, particle mass correction is proposed along with particle disorder correction.Then, an algorithm is introduced, in which only a slight modification is necessary compared to the standard WCSPH. Finally, extensive benchmark simulations are conducted to validate the proposed method. As a result, the proposed method is found to perform well in hydrodynamics problems with various flow conditions (pipe flow, lid-driven problem, Taylor-Green vortex, vortex shedding problem, and water sloshing) and thermal-hydraulics problems (natural convection in a square cavity).

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