Numerical modeling on the discharged fluid flow from a glass melter by a Lagrangian approach

Sun, Xiaosong; Sakai, Mikio; Shibata, Kazuya; Tochigi, Yoshikatsu; Fujiwara, Hiroaki

doi:10.1016/j.nucengdes.2012.04.004

Cited by 25 publications

(12 citation statements)

References 16 publications

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“…Here, the kernel functions are the same as the original ones. In general understanding, the accuracy of the E-MPS method is quite similar to that of the original MPS method, as both have been employed even in the solid-liquid flow states in chemical engineering (Sakai et al, 2012;Yamada and Sakai, 2013;Sun et al, 2014). Modeling of the phase change between the solid state and liquid state is described in the subsequent sections.…”

Section: The Mps Methods For Phase Change Simulationmentioning

confidence: 97%

“…The DEM, for instance, has been employed for simulating discontinuum as in the case of granular media and is known to inevitably and easily introduce inter-particle force. Consequently, the DEM can introduce cohesive forces, such as van der Waals force (Sakai et al, 2012) and liquid bridge force (Dhenge et al, 2013;Tsunazawa et al, 2016;Chan and Washino, 2018;Schmelzle and Nirschl, 2018;Sun and Sakai, 2018;Sakai et al, 2019). Very recently, modeling of the particle shape has been extensively studied in the DEM (Zhou et al, 2011;Govender et al, 2019;Kafashan et al, 2019;Nie et al, 2019;Shrestha et al, 2019;Yang et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

“…Very recently, modeling of the particle shape has been extensively studied in the DEM (Zhou et al, 2011;Govender et al, 2019;Kafashan et al, 2019;Nie et al, 2019;Shrestha et al, 2019;Yang et al, 2019). In contrast, the continuum media have been simulated using the SPH and the MPS methods, which have been consistently employed in the computation of free surface fluid flows, such as droplet impingement (Xiong et al, 2010(Xiong et al, , 2011, free surface fluid flow through porous media (Sun et al, 2019), discharge of highly viscous fluid flow (Sun et al, 2012), and wave migration (Shibata et al, 2011). Hence, the mesh-free particle methods make it possible to simulate complex multi-phase flow systems.…”

Section: Introductionmentioning

confidence: 99%

“…Highly viscous fluid flow in a glass melter(Sun et al, 2012) Copyright: (2012) Elsevier B.V.Fig. 9Verification test system for the heat flux model in the MPS method(Takabatake et al, 2016) Copyright: (2016) Elsevier B.V.…”

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confidence: 99%

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Recent Progress on Mesh-free Particle Methods for Simulations of Multi-phase Flows: A Review

Sakai

Mori

Sun

et al. 2020

KONA

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The discrete element method (DEM) and the moving particle semi-implicit (MPS) method are the most popular mesh-free particle methods in the discontinuum and continuum. This paper describes a state-of-the-art modeling on multi-phase flows using these mesh-free particle methods. Herein, a combinational model of the signed distance function (SDF) and immersed boundary method (IBM) is introduced for an arbitrary-shaped wall boundary in the DEM simulation. Practically, this model uses a simple operation to create the wall boundary. Although the SDF is a scalar field for the wall boundary of the DEM, it is useful for the wall boundary of the CFD through combination with the IBM. Validation tests are carried out to demonstrate the adequacy of the SDF/IBM wall boundary model. Regarding the mesh-free particle method for continuum, the phase change problem is one of the challenging topics, as the solid state is usually modeled by extremely high viscous fluid in the phase change simulation. The phase change simulation is shown to be efficiently performed through an implicit algorithm and a heat flux model in the MPS method. The adequacy of these models is verified by the numerical examples.

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Section: The Mps Methods For Phase Change Simulationmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Recent Progress on Mesh-free Particle Methods for Simulations of Multi-phase Flows: A Review

Sakai

Mori

Sun

et al. 2020

KONA

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“…In comparison with conventional Eulerian methods, those Lagrangian particle methods are completely mesh-free, which thus saves the time-consuming task of mesh generation. Moreover, they are also advantageous in treating large deformations of the free surface including nonlinear dynamics of breakup and coalescence, which could be encountered in various industrial and environmental flows (Gómez-Gesteira et al 2005;Shibata and Koshizuka 2007;Sun et al 2012;Takabatake et al 2016). Lagrangian particle methods have also been coupled with the discrete element method (Cundall and Strack 1979) to simulate solid-liquid two-phase flows involving free surfaces (Sakai et al 2012;Yamada and Sakai 2013;Sun et al 2013Sun et al , 2014.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Free Surface Fluid Flows Through Porous Media by Using the Explicit MPS Method

Sun

Takabatake

et al. 2018

Transp Porous Med

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An extension of the explicit moving particle semi-implicit (MPS) method is proposed for simulating free surface flow through a porous structure object. The model formulation is based on the local volume averaging equations, and the porous drag is given by a general closure function. It can compute the macroscopic behaviors of incompressible flows in porous media. Specifically, the present study addresses numerical difficulties of existing MPS models in two respects, namely the conservation of macroscopic fluid volume and the well-balanced hydrostatic equilibrium where the fluid and porous media interpenetrate. Numerical tests are performed to examine the validity and accuracy of the proposed model, from which good agreements are found between the simulation results and validation data. In comparison with existing models, it is also demonstrated that the numerical techniques developed in this study are important to obtain consistent predictions of flow behaviors. Therefore, the present MPS method is shown to be suitable for modeling free surface flows interacting with porous structures.

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Imposing accurate wall boundary conditions in corrective‐matrix‐based moving particle semi‐implicit method for free surface flow

Duan

Matsunaga

Yamaji

et al. 2020

Numerical Methods in Fluids

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Corrective matrix that is derived to restore consistency of discretization schemes can significantly enhance accuracy for the inside particles in the Moving Particle Semi-implicit method. In this situation, the error due to free surface and wall boundaries becomes dominant. Based on the recent study on Neumann boundary condition (Matsunaga et al, CMAME, 2020), the corrective matrix schemes in MPS are generalized to straightforwardly and accurately impose Neumann boundary condition. However, the new schemes can still easily trigger instability at free surface because of the biased error caused by the incomplete/biased neighbor support. Therefore, the existing stable schemes based on virtual particles and conservative gradient models are applied to free surface and nearby particles to produce a stable transitional layer at free surface. The new corrective matrix schemes are only applied to the particles under the stable transitional layer for improving the wall boundary conditions. Three numerical examples of free surface flows demonstrate that the proposed method can help to reduce the pressure/velocity fluctuations and hence enhance accuracy further.

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Numerical modeling on the discharged fluid flow from a glass melter by a Lagrangian approach

Cited by 25 publications

References 16 publications

Recent Progress on Mesh-free Particle Methods for Simulations of Multi-phase Flows: A Review

Recent Progress on Mesh-free Particle Methods for Simulations of Multi-phase Flows: A Review

Numerical Simulation of Free Surface Fluid Flows Through Porous Media by Using the Explicit MPS Method

Imposing accurate wall boundary conditions in corrective‐matrix‐based moving particle semi‐implicit method for free surface flow

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