An SPH modeling of bubble rising and coalescing in three dimensions

Zhang, A‐Man; Sun, Peng-Nan; Ming, Fu-Ren

doi:10.1016/j.cma.2015.05.014

Cited by 187 publications

(66 citation statements)

References 50 publications

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“…It has given relatively good results in many applications in both fluid and solid dynamics. Application of the SPH methods to steady and time-dependent models has also been investigated, see for example [1,6,11,39,41].…”

Section: Introductionmentioning

confidence: 99%

A Runge–Kutta–Chebyshev SPH algorithm for elastodynamics

Seaı̈d

2016

Acta Mech

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A stable and accurate Smoothed Particle Hydrodynamics (SPH) method is proposed for solving elastodynamics in solid mechanics. The SPH method is mesh-free, and it promises to overcome most of disadvantages of the traditional finite element techniques. The absence of a mesh makes the SPH method very attractive for those problems involving large deformations, moving boundaries and crack propagation. However, the conventional SPH method still has significant limitations that prevent its acceptance among researchers and engineers, namely the stability and computational costs. In approximating unsteady problems using the SPH method, attention should be given to the choice of time integration schemes as accuracy and efficiency of the SPH solution may be limited by the timesteps used in the simulation. This study presents an attempt to reconstruct an unconditionally stable SPH method for elastodynamics. To achieve this objective we implement an explicit Runge-Kutta Chebyshev scheme with extended stages in the SPH method. This time stepping scheme adds in a natural way a stabilizing stage to the conventional Runge-Kutta method using the Chebyshev polynomials. Numerical results are shown for several test problems in elastodynamics. For the considered elastic regimes, the obtained results demonstrate the ability of our new algorithm to better maintain the shape of the solution in the presence of shocks.

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Section: Introductionmentioning

confidence: 99%

A Runge–Kutta–Chebyshev SPH algorithm for elastodynamics

Seaı̈d

2016

Acta Mech

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“…A Lagrangian formulation of the motion equations is used in the SPH method [39][40][41][42][43][44][45][46][47][48][49][50][51]; it is meshfree and, therefore, very efficient for simulation of high-velocity impacts. Hence, a shaped-charge model was built with the SPH method in order to investigate the process of formation of a metal jet and its penetration performance.…”

Section: Sph Methodsmentioning

confidence: 99%

SPH-FEM simulation of shaped-charge jet penetration into double hull: A comparison study for steel and SPS

Zhang

Wang

Silberschmidt

et al. 2016

Composite Structures

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“…It is developed to model continuum physics, providing remarkable advantages compared to the usual limitations in Eulerian mesh methods. The Lagrangian nature of SPH makes it fairly simple in modeling complex flows with free surfaces and moving interfaces . Since its invention, the SPH method has been extensively studied and extended to different problems in engineering and sciences …”

Section: Introductionmentioning

confidence: 99%

Coupled finite particle method with a modified particle shifting technology

Huang

Zhang

Shi

et al. 2017

Numerical Meth Engineering

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Summary The conventional SPH method has been frustrated with the low accuracy originated from the particle inconsistency. The finite particle method (FPM) is an improved SPH method with a higher‐order accuracy. However, the numerical accuracy and stability of FPM depend on the uniformity of particles. Facing the disorder particles, the conventional FPM may suffer from an ill‐conditioned corrective matrix and is difficult to conduct longtime simulations. A popular and robust particle regularization scheme is the so‐called particle shifting technology (PST), which can effectively enhance the accuracy and stability of particle methods. In the context of FPM, PST is analyzed and discussed, and a modified PST (MPST) is proposed. Modified PST saves great amount of computational cost with respect to the conventional PST and acquires better features of accuracy and stability. Finally, the coupled FPM method by combining MPST and δ‐SPH is developed to simulate a series of viscous flows. The numerical results indicate that MPST is effective in improving accuracy, stability, and efficiency of PST, and the coupled FPM is shown to be robust for simulating viscous flows and has a higher accuracy and stability.

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An SPH modeling of bubble rising and coalescing in three dimensions

Cited by 187 publications

References 50 publications

A Runge–Kutta–Chebyshev SPH algorithm for elastodynamics

A Runge–Kutta–Chebyshev SPH algorithm for elastodynamics

SPH-FEM simulation of shaped-charge jet penetration into double hull: A comparison study for steel and SPS

Coupled finite particle method with a modified particle shifting technology

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