MPS mesh-free particle method for multiphase flows

Shakibaeinia, Ahmad; Jin, Yee‐Chung

doi:10.1016/j.cma.2012.03.013

Cited by 137 publications

(88 citation statements)

References 25 publications

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“…The subscript presents the phase that particles belong to, for which . The motion of particles in either phase is driven by gravity, pressure gradient and viscous force as in other Lagrangian multiphase approaches (e.g., [12], [19]). …”

Section: Governing Equationsmentioning

confidence: 99%

“…As discussed in the Introduction section, there are largely three types of ways to implement the conditions in meshless methods in literature: (1) treating multiphase as one fluid without explicitly imposing interface conditions, e.g., [12], [13] and [23]; (2) explicitly enforcing the continuity of pressure (not pressure gradient), e.g., [23]; (3) explicitly enforcing the continuity of pressure and specific pressure gradient, e.g. [21], [22].…”

Section: Interface Particlesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Recently a weakly compressible MPS [12] was developed which introduced the equation of state to original MPS method. In [12] a smoothing scheme based on the spatial averaging of density and a harmonic mean for viscosity on interfaces was adopted. However, as pointed out by [13], the zero order smoothing may downgrade the accuracy in capturing the sharp variation of density at the interface and subsequently lead to unphysical dispersions of particles near the interface.…”

Section: Introductionmentioning

confidence: 99%

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MLPG_R method for modelling 2D flows of two immiscible fluids

Zhou

Yan

2016

Numerical Methods in Fluids

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent repository link City Research OnlineThis article has been accepted for publication and undergone full peer review but has not been through the copyediting, typesetting, pagination and proofreading process which may lead to differences between this version and the Version of Record. Please cite this article as doi: 10.1002/fld.4353This article is protected by copyright. All rights reserved. MLPG_R method for modelling 2D flows of two immiscible fluids AbstractThis is a first attempt to develop the Meshless Local Petrov-Galerkin method with Rankine source solution (MLPG_R method) to simulate multiphase flows. In this paper, we do not only further develop the MLPG_R method to model two-phase flows but also propose two new techniques to tackle the associated challenges. The first technique is to form an equation for pressure on the explicitly identified interface between different phases by considering the continuity of the pressure and the discontinuity of the pressure gradient (i.e., the ratio of pressure gradient to fluid density), the latter reflecting the fact that the normal velocity is continuous across the interface. The second technique is about solving the algebraic equation for pressure, which gives reasonable solution not only for the cases with low density ratio but also for the cases with very high density ratio, such as more than 1000. The numerical tests show that the results of the newly developed two-phase MLPG_R method agree well with analytical solutions and experimental data in the cases studied.The numerical results also demonstrate that the newly developed method has a second-order convergent rate in the cases for sloshing motion with small amplitudes.

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Section: Governing Equationsmentioning

confidence: 99%

Section: Interface Particlesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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MLPG_R method for modelling 2D flows of two immiscible fluids

Zhou

Yan

2016

Numerical Methods in Fluids

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“…[7]. Whereas, in the MPS method (Moving Particles Semi-Implicit), first developed by S. Koshizuka [8] and, then, used by other Researchers, too [9] [10] some high frequency oscillations are suppressed, depending on time step-length Δt, because of the implicit nature of the method, with no additional technique for suppression.…”

Section: Introductionmentioning

confidence: 99%

Incremental Static Analysis of 2D Flow by Inter-Colliding Point-Particles and Use of Incompressible Rhombic Element

Papadopoulos¹,

Koutitas²,

Lazaridis³

2016

OJCE

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A simple method is proposed, for incremental static analysis of a set of inter-colliding particles, simulating 2D flow. Within each step of proposed algorithm, the particles perform small displacements, proportional to the out-of-balance forces, acting on them. Numerical experiments show that if the liquid is confined within boundaries of a set of inter-communicating vessels, then the proposed method converges to a final equilibrium state. This incremental static analysis approximates dynamic behavior with strong damping and can provide information, as a first approximation to 2D movement of a liquid. In the initial arrangement of particles, a rhombic element is proposed, which assures satisfactory incompressibility of the fluid. Based on the proposed algorithm, a simple and short computer program (a "pocket" program) has been developed, with only about 120 Fortran instructions. This program is first applied to an amount of liquid, contained in a single vessel. A coarse and refined discretization is tried. In final equilibrium state of liquid, the distribution on hydro-static pressure on vessel boundaries, obtained by proposed computational model, is found in satisfactory approximation with corresponding theoretical data. Then, an opening is formed, at the bottom of a vertical boundary of initial vessel, and the liquid is allowed to flow gradually to an adjacent vessel. Almost whole amount of liquid is transferred, from first to second vessel, except of few drops-particles, which remain, in equilibrium, at the bottom of initial vessel. In the final equilibrium state of liquid, in the second vessel, the free surface level of the liquid confirms that the proposed rhombing element assures a satisfactory incompressibility of the fluid.

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Simulating gas–liquid multiphase flow using meshless Lagrangian method

Jin

2014

Numerical Methods in Fluids

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SUMMARY A multiphase flow model has been established based on a moving particle semi‐implicit method. A surface tension model is introduced to the particle method to improve the numerical accuracy and stability. Several computational techniques are employed to simplify the numerical procedure and further improve the accuracy. A particle fraction multiphase flow model is developed and verified by a two‐phase Poiseuille flow. The multiphase surface tension model is discussed in detail, and an ethanol drop case is introduced to verify the surface tension model. A simple dam break is simulated to demonstrate the improvements with various modifications in particle method along with a new boundary condition. Finally, we simulate several bubble rising cases to show the capacity of this new model in simulating gas–liquid multiphase flow with large density ratio difference between phases. The comparisons among numerical results of mesh‐based model, experimental data, and the present model, indicate that the new multiphase particle method is acceptable in gas–liquid multiphase fluids simulation. Copyright © 2014 John Wiley & Sons, Ltd.

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MPS mesh-free particle method for multiphase flows

Cited by 137 publications

References 25 publications

MLPG_R method for modelling 2D flows of two immiscible fluids

MLPG_R method for modelling 2D flows of two immiscible fluids

Incremental Static Analysis of 2D Flow by Inter-Colliding Point-Particles and Use of Incompressible Rhombic Element

Simulating gas–liquid multiphase flow using meshless Lagrangian method

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