Dynamic flow‐based particle splitting in smoothed particle hydrodynamics

Khorasanizade, Sh.; Sousa, J. M. M.

doi:10.1002/nme.5128

Cited by 21 publications

(14 citation statements)

References 33 publications

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“…Similar study was conducted to approximate the density jump presented in Equation (35). To start with, a total of 250 particles were placed equidistant from each other, between x D 0:5 to x D 0:5.…”

Section: Numerical Assessment Of the Skewed Kernel Approachmentioning

confidence: 99%

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A skewed kernel approach for the simulation of shocks using SPH

Kumar

Patnaik

Liu

2016

Numerical Meth Engineering

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Summary A wide variety of jump discontinuities, such as shock fronts, are abound in high‐speed flows. An accurate approximation of these fronts may require higher order techniques either under mesh‐based methods or mesh‐free methods. In the latter class, the smoothed particle hydrodynamics (SPH) is becoming popular as a promising method. However, the standard approach in SPH (like any other discrete methods) can result in highly diffusive solutions because of the inevitable use of artificial viscosity to suppress numerical oscillations. On the other hand, the SPH formulation allows innovative ways to model complicated phenomena. In this paper, we introduce the novel idea of a skewed Gaussian kernel, to improve the shock capturing capability in high speed flows. Here, the standard Gaussian kernel function is modified, and its ‘shape’ is altered with a predesigned tunable skewness parameter, while the basic unity property of the kernel function is still preserved. The SPH with the proposed skewed Gaussian kernel is then applied on a number of benchmark problems in computational fluid dynamics, featuring shocks. The simulations have shown significantly better shock capture through the skewed kernel approach as against the standard techniques, with almost no increase in computational time. Copyright © 2016 John Wiley & Sons, Ltd.

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Section: Numerical Assessment Of the Skewed Kernel Approachmentioning

confidence: 99%

“…A novel SPH method called the adaptive SPH with anisotropic tensor‐based adaptation was developed by Shapiro et al . An interesting method of adaptivity is the particle splitting, with several variants for particle refinement .…”

Section: Introductionmentioning

confidence: 99%

A skewed kernel approach for the simulation of shocks using SPH

Kumar

Patnaik

Liu

2016

Numerical Meth Engineering

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“…For instance, Feldman and Bonet [20] presented a particle splitting method for adaptive refinement in dynamic fluid problems and investigated numerical errors; Vacondio et al [21] introduced a variable-resolution technique by splitting a parent particle into child particles and vise versa for refinement and coarsening, respectively. Subsequently, a number of adaptive particle methods have been proposed on controlling the resolution in fluid problems [22,23,24,25,26]. However, those techniques often encounter a problem in conservation of mass [22] and generally require a cumbersome implementation with respect to a parallel computation.…”

Section: Introductionmentioning

confidence: 99%

Generalized smoothed particle hydrodynamics with overset methods in total Lagrangian formulations

Deng,

Abe,

Okabe

2021

Preprint

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This study proposes a generalized coordinates based smoothed particle hydrodynamics (GSPH) method with overset methods using a Total Lagrangian (TL) formulation for large deformation and crack propagation problems. In the proposed GSPH, the physical space is decomposed into multiple domains, each of which is mapped to a local coordinate space (generalized space) to avoid coordinate singularities as well as to flexibly change the spatial resolution. The smoothed particle hydrodynamics (SPH) particles are then non-uniformly, e.g., typically in the boundary-conforming way, distributed in the physical space while they are defined uniformly in each generalized space similarly to the normal SPH method, which are numerically related by a coordinate transformation matrix. By solving a governing equation in each generalized space, the shape and size of the SPH kernel can be spatially changed in the physical space so that a spatial resolution is adaptively varied a priori depending on the deformation characteristics, and thus, a low-cost calculation with the less number of particles is achieved in complex shape structures.

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“…However, it was found that the total mass did not always conserve during this process [7]. Khorasanizade and Sousa [8] presented a dynamic flow-based particle splitting method.…”

Section: Introductionmentioning

confidence: 99%

“…Since the refinement zone is static, the static resolution is not adaptive. In contrast, for dynamic resolution, the refinement zones move according to the physical properties of the flows, such as density [3], velocity [5], and vorticity [8]. The dynamic resolution method is partially adaptive because the refinement criteria based on density, velocity or vorticity need to be defined beforehand and are different for different cases.…”

Section: Introductionmentioning

confidence: 99%

Adaptive resolution for multiphase smoothed particle hydrodynamics

Yang

Kong

2019

Computer Physics Communications

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The smoothed particle hydrodynamics (SPH) method has been increasingly used to study fluid problems in recent years; but its computational cost can be high if high resolution is required. In this study, an adaptive resolution method based on SPH is developed for multiphase flow simulation. The numerical SPH particles are refined or coarsened as needed, depending on the distance to the interface. In developing the criteria, reference particle spacing is defined for each particle, and it changes dynamically with the location of the interface. A variable smoothing length is used together with adaptive resolution.An improved algorithm for calculating the variable smoothing length is further developed to reduce numerical errors. The proposed adaptive resolution method is validated by five examples involving liquid drops impact on dry or wet surfaces, water entry of a cylinder and dam break flow, with the consideration of ambient gas. Different resolution levels are used in the simulations. Numerical validations have proven that the present adaptive resolution method can accurately capture the dynamics of liquid-gas interface with low computational costs. The present adaptive method can be incorporated into other SPHbased methods for efficient fluid dynamics simulation.

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Dynamic flow‐based particle splitting in smoothed particle hydrodynamics

Cited by 21 publications

References 33 publications

A skewed kernel approach for the simulation of shocks using SPH

A skewed kernel approach for the simulation of shocks using SPH

Generalized smoothed particle hydrodynamics with overset methods in total Lagrangian formulations

Adaptive resolution for multiphase smoothed particle hydrodynamics

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