Development of modified SPH approach for modeling of high-velocity impact

Alhussan, Khaled; Babenko, V. A.; Kozlov, I. M.; Smetannikov, A. S.

doi:10.1016/j.ijheatmasstransfer.2012.06.002

Cited by 9 publications

(3 citation statements)

References 13 publications

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“…The most important is that the accuracy of SPH solution is not influenced by the arbitrary distribution of particles under any extreme conditions. So, thanks to its huge advantages in adaptability, straightforwardness, and implementation ease, this particle method originally invented for astrophysical applications 2,9,10 has been rapidly extended and applied to a vast range of applications, such as the multiphase flow, [11][12][13] explosion and underwater shocks, [14][15][16][17] penetration, [18][19][20] high-velocity impact, [21][22][23][24][25] and geophysics, [26][27][28][29] etc.…”

Section: Introductionmentioning

confidence: 99%

A 3D Lagrangian gradient smoothing method framework with an adaptable gradient smoothing domain‐constructing algorithm for simulating large deformation free surface flows

Mao

Liu

2019

Numerical Meth Engineering

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Summary A novel smoothing particle hydrodynamics (SPH)‐like Lagrangian meshfree method, named as Lagrangian gradient smoothing method (L‐GSM), has been proposed to avoid the “tensile instability” issue in SPH simulation by replacing the SPH particle‐summation gradient approximation technique with a local grid‐based GSM gradient smoothing operator. The L‐GSM model has been proven effective and efficient when applied to a wide range of large deformation problems for fluids and flowing solids in two‐dimensional case. In this study, a three‐dimensional (3D) L‐GSM numerical framework is proposed for simulating large deformation problems with the existence of free surfaces through developing a widely adaptable 3D gradient smoothing domain (GSD) constructing algorithm. It includes three key novel ingredients: (i) the localized GSD based on an efficient distance‐oriented particle‐searching algorithm enabling both easy implementation and efficient computation; (ii) a novel algorithm for constructing 3D GSD to guarantee the effectiveness of the 3D GSM gradient operator adaptable to any extreme cases; (iii) a robust normalized 3D GSM gradient operator formulation that can restore the accuracy of gradient approximation even on boundary interface. The effectiveness of the proposed 3D GSD‐constructing algorithm is first verified under various distribution conditions of particles. The accuracy of the proposed adaptable 3D GSM gradient algorithm is then examined through conducting a series of numerical experiments with different spacing ratios. Finally, the 3D L‐GSM numerical framework is applied to solve a practical problem of free surface flows with large deformation: collapse of a soil column. The results reveal that the present adaptable 3D L‐GSM numerical framework can effectively handle the large deformation problems, like flowing solids, with a constantly changing arbitrary free surface profile.

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Section: Introductionmentioning

confidence: 99%

A 3D Lagrangian gradient smoothing method framework with an adaptable gradient smoothing domain‐constructing algorithm for simulating large deformation free surface flows

Mao

Liu

2019

Numerical Meth Engineering

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“…Aluminum alloy projectile modeling process using the SPH method, honeycomb core sandwich panel modeling process using FE method. Literatures [12,13] have already shown that SPH method can avoid the grid serious deformation problems signally which appear in FE method. Panel used entity unit, honeycomb core using shell element.…”

Section: Hypervelocity Impact Testmentioning

confidence: 99%

A Study on the Split Effect of Projectile Debris on Honeycomb Core

Zhang¹,

Chi²,

Pang³

et al. 2016

Proceedings of the 2015 4th International Conference on Sustainable Energy and Environmental Engineering

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Abstract. Split appeared after initial interaction between honeycomb core and projectile debris when projectile hypervelocity impact on honeycomb sandwich panel. In order to investigate the split characteristics of projectile debris, a 3D simulation model of projectile hypervelocity impact on honeycomb sandwich panel was established. The simulation model was validated with experimental test by comparing numerical experimental damage performance, it reveal better agreement with both simulation and experiment. The simulation results of split phenomenon and the damage of honeycomb core and rear facesheet show that split phenomenon disappears with time going, but it has a close relation to initial bifurcation pattern of projectile. The energy change trend of honeycomb core also demonstrated that damage was obviously influenced by location of projectile impact point.

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“…Of all the meshfree methods, SPH is a robust Lagrangian particle method that can be dated back to 1970s. It was originally invented to solve astrophysical problems and was rapidly extended and applied to a vast range of engineering applications, such as blood flows, molecular dynamics in multiple scale, explosion and underwater shocks, cracking and fragmentation, penetration, high velocity impact, and geophysics …”

Section: Introductionmentioning

confidence: 99%

A Lagrangian gradient smoothing method for solid‐flow problems using simplicial mesh

Mao

Liu

2017

Numerical Meth Engineering

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A novel Lagrangian gradient smoothing method (L-GSM) is developed to solve "solid-flow" (flow media with material strength) problems governed by Lagrangian form of Navier-Stokes equations. It is a particle-like method, similar to the smoothed particle hydrodynamics (SPH) method but without the socalled tensile instability that exists in the SPH since its birth. The L-GSM uses gradient smoothing technique to approximate the gradient of the field variables, based on the standard GSM that was found working well with Euler grids for general fluids. The Delaunay triangulation algorithm is adopted to update the connectivity of the particles, so that supporting neighboring particles can be determined for accurate gradient approximations. Special techniques are also devised for treatments of 3 types of boundaries: no-slip solid boundary, free-surface boundary, and periodical boundary. An advanced GSM operation for better consistency condition is then developed. Tensile stability condition of L-GSM is investigated through the von Neumann stability analysis as well as numerical tests. The proposed L-GSM is validated by using benchmarking examples of incompressible flows, including the Couette flow, Poiseuille flow, and 2D shear-driven cavity. It is then applied to solve a practical problem of solid flows: the natural failure process of soil and the resultant soil flows. The numerical results are compared with theoretical solutions, experimental data, and other numerical results by SPH and FDM to evaluate further L-GSM performance. It shows that the L-GSM scheme can give a very accurate result for all these examples. Both the theoretical analysis and the numerical testingresults demonstrate that the proposed L-GSM approach restores first-order accuracy unconditionally and does not suffer from the tensile instability. It is also shown that the L-GSM is much more computational efficient compared with SPH, especially when a large number of particles are employed in simulation.

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Development of modified SPH approach for modeling of high-velocity impact

Cited by 9 publications

References 13 publications

A 3D Lagrangian gradient smoothing method framework with an adaptable gradient smoothing domain‐constructing algorithm for simulating large deformation free surface flows

A 3D Lagrangian gradient smoothing method framework with an adaptable gradient smoothing domain‐constructing algorithm for simulating large deformation free surface flows

A Study on the Split Effect of Projectile Debris on Honeycomb Core

A Lagrangian gradient smoothing method for solid‐flow problems using simplicial mesh

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