Review of Development of the Smooth Particle Hydrodynamics (SPH) Method

Vignjević, Rade; Campbell, J.

doi:10.1007/978-1-4419-0727-1_20

Cited by 46 publications

(31 citation statements)

References 67 publications

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“…As a final remark, it has been demonstrated that C 0 particle consistency for both the estimates of a function and its gradient implies preservation of the homogeneity and isotropy of the discrete space, which have as consequences conservation of the linear and angular momentum, respectively (Vignjevic & Campbell 2009;Sigalotti et al 2016). Therefore, we may expect that local linear and angular momentum are well conserved in our consistent collapse calculations.…”

Section: Discussionmentioning

confidence: 79%

“…In particular, satisfaction of relation (5) means that the homogeneity of space is not affected by the SPH kernel approximation, which has as a consequence the conservation of linear momentum. On the other hand, fulfillment of relation (11) expresses that the isotropy of space is preserved by the kernel approximation, and therefore angular momentum is locally conserved (Vignjevic & Campbell 2009;Sigalotti et al 2016). …”

Section: The Issue Of Consistencymentioning

confidence: 99%

“…In particular, restoring C 0 particle consistency implies that the homogeneity and isotropy of the discrete space are preserved, which has as a consequence the conservation of linear and angular momentum in practical calculations (Vignjevic & Campbell 2009;Sigalotti et al 2016). The goal here is to track the quality of the particle consistency relations in a true hydrodynamic evolution involving large density and pressure gradients as well as large spatial and temporal variations of the smoothing length.…”

Section: The Issue Of Consistencymentioning

confidence: 99%

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Consistent SPH Simulations of Protostellar Collapse and Fragmentation

Gabbasov

Sigalotti

Cruz

et al. 2017

ApJ

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We study the consistency and convergence of smoothed particle hydrodynamics (SPH) as a function of the interpolation parameters, namely the number of particles N, the number of neighbors n, and the smoothing length h, using simulations of the collapse and fragmentation of protostellar rotating cores. The calculations are made using a modified version of the GADGET-2 code that employs an improved scheme for the artificial viscosity and power-law dependences of n and h on N, as was recently proposed by Zhu et al., which comply with the combined limit  ¥ N ,  h 0, and  ¥ n with  n N 0 for full SPH consistency as the domain resolution is increased. We apply this realization to the "standard isothermal test case" in the variant calculated by Burkert & Bodenheimer and the Gaussian cloud model of Boss to investigate the response of the method to adaptive smoothing lengths in the presence of large density and pressure gradients. The degree of consistency is measured by tracking how well the estimates of the consistency integral relations reproduce their continuous counterparts. In particular, C 0 and C 1 particle consistency is demonstrated, meaning that the calculations are close to second-order accuracy. As long as n is increased with N, mass resolution also improves as the minimum resolvable mass~-M n min 1 . This aspect allows proper calculation of small-scale structures in the flow associated with the formation and instability of protostellar disks around the growing fragments, which are seen to develop a spiral structure and fragment into close binary/multiple systems as supported by recent observations.

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Section: Discussionmentioning

confidence: 79%

Section: The Issue Of Consistencymentioning

confidence: 99%

Section: The Issue Of Consistencymentioning

confidence: 99%

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Consistent SPH Simulations of Protostellar Collapse and Fragmentation

Gabbasov

Sigalotti

Cruz

et al. 2017

ApJ

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“…The following brief overview is extracted from [11], and details some main points of the method. Spatial discretisation of the state variables is provided at the SPH particles using interpolation of the Kernel function.…”

Section: The Smooth Particle Hydrodynamics Methodsmentioning

confidence: 99%

“…4a. The The set of neighbouring particles [11] contributions of each particle to a property are weighted according to their distance from the particle of interest and their density. The Kernel function has the following properties:…”

Section: The Smooth Particle Hydrodynamics Methodsmentioning

confidence: 99%

Braiding Simulation and Prediction of Mechanical Properties

2009

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Rotary braiding is a cost effective method to manufacture near net shaped preforms that generally have a closed section and may have an arbitrary shape if braiding is performed over a shaped mandrel. The reinforcement architecture can be varied by the number and spacing of active bobbins, and by the speeds used to 'take-up' the braid and move the circumferential bobbins. Analytical methods are available that can reliably predict yarn paths and the final braid meso-structure for simple regular sections, and further analytical methods have been proposed to estimate composite braid elastic mechanical properties. A full simulation chain using the explicit Finite Element (FE) technique is presented for composite braid manufacture and mechanical stiffness prediction of the final composite. First simulation of the braiding process provides detailed information on yarns paths and braid meso-structure, from which Representative Volume Elements (RVE) of the braid may be constructed for analysis of stiffness properties. The techniques are general and can be applied to any braid geometry. A specific problem of meshing the yarn structure and interspersed resin volumes is overcome using conventional solid elements for the yarns and Smooth Particle Hydrodynamics for the resin, with link element to join the two constituents. Details of the background theory, braid simulation methods, meso-model analysis and validation again analytical and test measurements are presented.

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An Efficient SPH Framework for Modeling Binary Granular Mixtures and Implications for Granular Flows

Zhang,

Wu,

et al. 2024

Num Anal Meth Geomechanics

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A two‐way coupling numerical framework based on smoothed particle hydrodynamics (SPH) is developed in this study to model binary granular mixtures consisting of coarse and fine grains. The framework employs updated Lagrangian SPH to simulate fine grains, with particle configurations updated at each time step, and total Lagrangian SPH to efficiently model coarse grains without updated particle configurations. A Riemann solver is utilized to introduce numerical dissipation in fine grains and facilitate their coupling with coarse grains. To enhance computational efficiency, a multiple time‐stepping scheme is initially applied to manage the time integration coupling between coarse and fine grains. Several numerical experiments, including granular column collapse, low‐speed impact craters, and granular flow impacting blocks, are conducted to validate the stability and accuracy of the proposed algorithm. Subsequently, two more complex scenarios involving a soil–rock mixture slope considering irregular coarse particle shapes, and bouldery debris flows on natural terrain, are simulated to showcase the potential engineering applications. Finally, a detailed analysis is performed to evaluate the computational efficiency advantages of the present approach. The findings of this study are consistent with previous experimental and numerical results, and the implementation of a multiple time‐stepping scheme can improve computational efficiency by up to 600%, thereby providing significant advantages for large‐scale engineering simulations.

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Review of Development of the Smooth Particle Hydrodynamics (SPH) Method

Cited by 46 publications

References 67 publications

Consistent SPH Simulations of Protostellar Collapse and Fragmentation

Consistent SPH Simulations of Protostellar Collapse and Fragmentation

Braiding Simulation and Prediction of Mechanical Properties

An Efficient SPH Framework for Modeling Binary Granular Mixtures and Implications for Granular Flows

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