Improved pressure calculation for the moving particle semi-implicit method

Shibata, Kazuya; Masaie, Issei; Kondo, Masahiro; Murotani, Kenta; Koshizuka, Seiichi

doi:10.1007/s40571-015-0039-6

Cited by 88 publications

(47 citation statements)

References 39 publications

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“…For the free‐surface boundary, the virtual particle method that is proved effective in enhancing accuracy is adopted. In this method, virtual particles with zero pressure are supplemented outside free surface, and thus, the pressure of free‐surface particles is solved from a modified PPE.…”

Section: Methodsmentioning

confidence: 99%

An accurate and stable multiphase moving particle semi‐implicit method based on a corrective matrix for all particle interaction models

Duan

Koshizuka

Yamaji

et al. 2018

Numerical Meth Engineering

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Summary The Lagrangian moving particle semi‐implicit (MPS) method has potential to simulate free‐surface and multiphase flows. However, the chaotic distribution of particles can decrease accuracy and reliability in the conventional MPS method. In this study, a new Laplacian model is proposed by removing the errors associated with first‐order partial derivatives based on a corrected matrix. Therefore, a corrective matrix is applied to all the MPS discretization models to enhance computational accuracy. Then, the developed corrected models are coupled into our previous multiphase MPS methods. Separate stabilizing strategies are developed for internal and free‐surface particles. Specifically, particle shifting is applied to internal particles. Meanwhile, a conservative pressure gradient model and a modified optimized particle shifting scheme are applied to free‐surface particles to produce the required adjustments in surface normal and tangent directions, respectively. The simulations of a multifluid pressure oscillation flow and a bubble rising flow demonstrate the accuracy improvements of the corrective matrix. The elliptical drop deformation demonstrates the stability/accuracy improvement of the present stabilizing strategies at free surface. Finally, a turbulent multiphase flow with complicated interface fragmentation and coalescence is simulated to demonstrate the capability of the developed method.

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Section: Methodsmentioning

confidence: 99%

An accurate and stable multiphase moving particle semi‐implicit method based on a corrective matrix for all particle interaction models

Duan

Koshizuka

Yamaji

et al. 2018

Numerical Meth Engineering

Self Cite

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“…A similar concept of an additional background computational point has been considered in Refs []. The particle shifting procedure adopted in Refs [] is not used in the present study.…”

Section: New Gradient Model and Laplacian Modelmentioning

confidence: 99%

Enhancement of the accuracy of the finite volume particle method for the simulation of incompressible flows

Liu

Morita

Zhang

2017

Numerical Methods in Fluids

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A finite volume particle (FVP) method for simulation of incompressible flows that provides enhanced accuracy is proposed. In this enhanced FVP (EFVP) method, a dummy neighbor particle is introduced for each particle in the calculation, and higher order discretization of the gradient model and Laplacian model is realized. A numerical test to assess accuracy and convergence and several 2‐dimensional numerical simulations are given to confirm its enhanced performance.

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“…Tanaka and Masunaga introduced the relaxation coefficient

γ

to the Poisson equation that simultaneously considers the PND and DF conditions, and proposed the introduction of pseudo‐compressibility . Shibata et al derived a modified pressure Poisson equation and a modified approximation model for the pressure gradient . Regarding the fluid compression by the increase in pressure, Ikeda et al proposed a relationship formula for the PND and pressure based on an equality formula for the sound velocity

c^{2} = {(\frac{\partial p}{\partial ρ})}_{s}

\frac{n^{t + Δ t}}{n^{0}} ≅ \frac{ρ^{t + Δ t}}{ρ} = 1 + \frac{p^{t + Δ t}}{ρ c^{2}}

…”

Section: Droplet Incompressible Flow Simulationmentioning

confidence: 99%

“…23 Shibata et al derived a modified pressure Poisson equation and a modified approximation model for the pressure gradient. 24 Regarding the fluid compression by the increase in pressure, Ikeda et al proposed a relationship formula for the PND and pressure based on an equality formula for the sound velocity 25…”

Section: Droplet Incompressible Flow Simulation Calculation Proceduresmentioning

confidence: 99%

Capturing the non‐spherical shape of granular media and its trickle flow characteristics using fully‐Lagrangian method

et al. 2016

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We performed a numerical analysis for simulating granular media structures containing non‐spherical elements and the liquid trickle flow characteristics of such structures. Fully‐Lagrangian numerical simulation methods can track all motion information for solid or liquid elements at each point in time. We introduced suitable compressibility to moving particle semi‐implicit (MPS) and performed individual packing behavior calculations for non‐spherical elements, based on discrete element method (DEM) with expanded functions. Rigid bodies‐DEM is a method using a DEM contact force model that is expanded to handle the motion of freely shaped solids. It expresses complex shapes to enable low calculation costs and intuitive mounting. We used the boundary for the granular media configured with non‐spherical elements to implement a trickle flow simulation based on weakly compressible‐MPS. Even for elements of equal volume, different shapes changed the liquid passage velocity and hold‐up amount. The mean downflow velocity of the liquid phase was not always dependent on the void fraction. For the plane of projection, we obtained a good correlation with the mean downflow velocity in each packed structure, and successfully performed arrangements according to the new liquid‐passage shape coefficient. © 2016 American Institute of Chemical Engineers AIChE J, 63: 2257–2271, 2017

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Improved pressure calculation for the moving particle semi-implicit method

Cited by 88 publications

References 39 publications

An accurate and stable multiphase moving particle semi‐implicit method based on a corrective matrix for all particle interaction models

An accurate and stable multiphase moving particle semi‐implicit method based on a corrective matrix for all particle interaction models

Enhancement of the accuracy of the finite volume particle method for the simulation of incompressible flows

Capturing the non‐spherical shape of granular media and its trickle flow characteristics using fully‐Lagrangian method

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