Convergence study and optimal weight functions of an explicit particle method for the incompressible Navier–Stokes equations

Imoto, Yusuke; Tsuzuki, Satori; Nishiura, Daisuke

doi:10.1007/s40571-019-00247-y

Cited by 8 publications

(2 citation statements)

References 30 publications

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“…where ρ 0 and p 0 are the reference density and reference pressure, respectively, α is a free parameter to control the compressibility of the system, and β is a parameter that determines the initial pressure of the system. Furthermore, we introduce the techniques of pressure filtering [18] and density reinitialization [19] to maintain the numerical stability.…”

Section: Fluid Forcesmentioning

confidence: 99%

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DEMocritus: an open source framework for simulating slurry flows using an SDPD-DEM coupled model

Tsuzuki

2020

Preprint

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This paper provides open-source code that works as a viscometer of particle-based simulations of three-dimensional fluid-particle interaction systems, targetting slurry or suspension flow in chemical engineering. The smoothed dissipative particle dynamics (SDPD), a fluid particle model developed for thermodynamic flow at mesoscale, is combined with the contact model of the discrete element method (DEM). The mechanics of fluid-particle interaction is modeled by a two-way interaction scheme using a dragforce model. We demonstrate our simulation code by several validation tests: simulations of reverse-Poiseuille flow, single-particle sedimentation, and a dam-breaking problem containing rigid particles, in reasonable calculation time. Our new open-source code is beneficial for scientists, researchers, and engineers in computational physics.

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Section: Fluid Forcesmentioning

confidence: 99%

“…( 17). Additionally, in smoothe_particle_pres() in line 6, each particle smoothes the pressure by a weighted calculation [18] in a similar manner to Eq. ( 16).…”

Section: Overviews Of Computational Procesesmentioning

confidence: 99%

DEMocritus: an open source framework for simulating slurry flows using an SDPD-DEM coupled model

Tsuzuki

2020

Preprint

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RETRACTED ARTICLE: Molecular dynamics performance for coronavirus simulation by C, N, O, and S atoms implementation dreiding force field: drug delivery atomic interaction in contact with metallic Fe, Al, and steel

Karimipour

Amini²,

Nouri³

et al. 2020

Comp. Part. Mech.

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Coronavirus causes some illnesses to include cold, COVID-19, MERS, and SARS. This virus can be transmitted through contact with different atomic matrix between humans. So, this atomic is essential in medical cases. In this work, we describe the atomic manner of this virus in contact with various metallic matrix such as Fe, Al, and steel with equilibrium molecular dynamic method. For this purpose, we reported physical properties such as temperature, total energy, distance and angle of structures, mutual energy, and volume variation of coronavirus. In this approach, coronavirus is precisely simulated by O, C, S, and N atoms and they are implemented dreiding force field. Our simulation shows that virus interaction with steel matrix causes the maximum removing of the virus from the surfaces. After 1 ns, the atomic distance between these two structures increases from 45 to 75 Å. Furthermore, the volume of coronavirus 14.62% increases after interaction with steel matrix. This atomic manner shows that coronavirus removes and destroyed with steel surface, and this metallic structure can be a promising material for use in medical applications.

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Reproduction of vortex lattices in the simulations of rotating liquid helium-4 by numerically solving the two-fluid model using smoothed-particle hydrodynamics incorporating vortex dynamics

Tsuzuki

2021

Physics of Fluids

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Our recent study has shown that the representative phenomena of liquid helium-4 rotating in a cylinder could be simulated by solving the two-fluid model using smoothed-particle hydrodynamics (SPH) after reformulating the viscosity to conserve the rotational angular momentum. Specifically, the emergence of multiple parallel vortices and their rigid-body rotations were observed in our previous SPH simulations. The reported scheme is based on a classical approximation that assumes the fluid forces of both components and their interactions, with the expectation of functioning as a coarse-grained model of existing approximations that couple a microscopic model and the Navier–Stokes equation. Based on previous studies, this paper proposes an improved SPH scheme that explicitly incorporates vortex dynamics into SPH to reproduce vortex lattices, which was not possible in previous studies. Consequently, our improved scheme was observed to reproduce vortex lattices by introducing the Magnus force and interaction forces among vortices into the reformulated two-fluid model. The spinning of the vortices and rigid-body rotations were also observed. The number of vortices showed a certain agreement with Feynman's rule after the model parameter was optimized. Notably, from a scientific point of view, such vortex lattices are reproduced by the classical-mechanical approximation. We hope that our model will help physicists studying low-temperature physics find a new way of approaching this bizarre phenomenon that has attracted attention for more than 80 years.

show abstract

Convergence study and optimal weight functions of an explicit particle method for the incompressible Navier–Stokes equations

Cited by 8 publications

References 30 publications

DEMocritus: an open source framework for simulating slurry flows using an SDPD-DEM coupled model

DEMocritus: an open source framework for simulating slurry flows using an SDPD-DEM coupled model

RETRACTED ARTICLE: Molecular dynamics performance for coronavirus simulation by C, N, O, and S atoms implementation dreiding force field: drug delivery atomic interaction in contact with metallic Fe, Al, and steel

Reproduction of vortex lattices in the simulations of rotating liquid helium-4 by numerically solving the two-fluid model using smoothed-particle hydrodynamics incorporating vortex dynamics

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