An SPH pressure correction algorithm for multiphase flows with large density ratio

Zhou, Li; Cai, Zhiwen; Zong, Zhi; Жен, Чен

doi:10.1002/fld.4207

Cited by 13 publications

(8 citation statements)

References 29 publications

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“…Over the past decades, significant advances have been made in numerical modeling of two-phase flows. For examples, the two-fluid model [12,13] and the discrete particle model [14,15] were developed to simulate two-phase flows. The front-capturing method [16] and the front-tracking [17] methods, were developed to capture the free surfaces of multi-phase flows.…”

Section: Introductionmentioning

confidence: 99%

Computational fluid simulation of non-Newtonian two-phase fluid flow through a channel with a cavity

Ahmadi

Khosravi

2020

THERM SCI

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In this paper, the numerical solution of non-Newtonian two-phase fluid-flow through a channel with a cavity was studied. Carreau-Yasuda non-Newtonian model which represents well the dependence of stress on shear rate was used and the effect of n index of the model and the effect of input Reynolds on the attribution of flow were considered. Governing equations were discretized using the finite volume method on staggered grid and the form of allocating flow parameters on staggered grid is based on marker and cell method. The QUICK scheme is employed for the convection terms in the momentum equations, also the convection term is discretized by using the hybrid upwind-central scheme. In order to increase the accuracy of making discrete, second order Van Leer accuracy method was used. For mixed solution of velocity-pressure field SIMPLEC algorithm was used and for pressure correction equation iteratively line-by-line TDMA solution procedure and the strongly implicit procedure was used. As the results show, by increasing Reynolds number, the time of sweeping the non-Newtonian fluid inside the cavity decreases, the velocity of Newtonian fluid increases and the pressure decreases. In the second section, by increasing n index, the velocity increases and the volume fraction of non-Newtonian fluid after cavity increases and by increasing velocity, the pressure decreases. Also changes in the velocity, pressure and volume fraction of fluids inside the channel and cavity are more sensible to changing the Reynolds number instead of changing n index.

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Section: Introductionmentioning

confidence: 99%

Computational fluid simulation of non-Newtonian two-phase fluid flow through a channel with a cavity

Ahmadi

Khosravi

2020

THERM SCI

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“…Mokos et al 34 used the density reinitialization technique for different fluid phases, respectively, in the sloshing system to avoid the effect of density discontinuities at the interface. Cai et al 35 employed a modified density reinitialization approach to stabilize the pressure field, in which the density conversion for particles located near the interface is required.…”

Section: Introductionmentioning

confidence: 99%

“…It should be noted that, a candidate solver for the simulation of sloshing problems must be capable of handling various numerical complexities, such as high‐density ratios, complex and fast evolving interfaces, and strong impacts between the fluids and structures, etc. The foregoing may bring in stability problems for which various forms of artificial viscosities have been proposed in the literature 33‐35 . Sloshing is a periodic phenomenon that usually requires a long‐term simulation.…”

Section: Introductionmentioning

confidence: 99%

“…Specifically, the dissipation term proposed by Molteni and Colagrossi 27 is modified to enhance its applicability to multiphase simulations with high density ratios. The present modified dissipation term can be indiscriminately applied to all the fluid phases without distinguishing the particles' material property or position (interface/inner) 34,35 ; moreover, solving the matrix inversion 33 is not required. The modified term is directly attached to the continuity equation, and is considerably easy to implement.…”

Section: Introductionmentioning

confidence: 99%

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Multiphase smoothed particle hydrodynamics modeling of forced liquid sloshing

Zheng

Sun

Chen

et al. 2020

Numerical Methods in Fluids

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In the present paper, an improved multiphase weakly compressible smoothed particle hydrodynamics model for balancing the accuracy and stability of the long‐term simulations is proposed to model the forced liquid sloshing in a tank. The governing equations of the multiphase flow are discretized by considering the density discontinuity over the interface. To suppress the pressure oscillation, a previous density correction term suitable only for single‐phase problems is modified and incorporated into the discrete continuity equation to suit multiphase problems. The modified density reinitialization algorithm is implemented to calculate the pressure of the boundary particles, and the coupled dynamic solid boundary treatment (SBT) is employed to determine the rigid wall condition. For convenience, a numerical probe algorithm is also proposed to accurately measure the wave height. The present model exhibits a better numerical stability than the previous multiphase smoothed particle hydrodynamics model, and its results well confirm with the experimental data of the forced sloshing of liquid excited by swaying or rolling.

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“…Since then, it has been used in several research areas, e.g. coastal engineering [3][4][5][6][7], flooding forecast [8][9][10][11], solid body transport [12][13][14][15], soil mechanics [16][17][18][19][20], sediment erosion or entrainment processes [21][22][23][24], fastmoving non-Newtonian flows [25][26][27][28][29][30][31][32][33], flows in porous media [34][35][36], solute transport [37][38][39], turbulent flows [40][41][42] and multiphase flows [43][44][45][46][47], not to mention manifold industrial applications (see, for instance [48][49][50]…”

Section: Introductionmentioning

confidence: 99%

Free-Surface Flow Simulations with Smoothed Particle Hydrodynamics Method using High-Performance Computing

Altomare¹,

Viccione²,

Tagliafierro³

et al. 2018

Computational Fluid Dynamics - Basic Instruments and Applications in Science

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Today, the use of modern high-performance computing (HPC) systems, such as clusters equipped with graphics processing units (GPUs), allows solving problems with resolutions unthinkable only a decade ago. The demand for high computational power is certainly an issue when simulating free-surface flows. However, taking the advantage of GPU's parallel computing techniques, simulations involving up to 10 9 particles can be achieved. In this framework, this chapter shows some numerical results of typical coastal engineering problems obtained by means of the GPU-based computing servers maintained at the Environmental Physics Laboratory (EPhysLab) from Vigo University in Ourense (Spain) and the Tier-1 Galileo cluster of the Italian computing centre CINECA. The DualSPHysics free package based on smoothed particle hydrodynamics (SPH) technique was used for the purpose. SPH is a meshless particle method based on Lagrangian formulation by which the fluid domain is discretized as a collection of computing fluid particles. Speedup and efficiency of calculations are studied in terms of the initial interparticle distance and by coupling DualSPHysics with a NLSW wave propagation model. Water free-surface elevation, orbital velocities and wave forces are compared with results from experimental campaigns and theoretical solutions.

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An SPH pressure correction algorithm for multiphase flows with large density ratio

Cited by 13 publications

References 29 publications

Computational fluid simulation of non-Newtonian two-phase fluid flow through a channel with a cavity

Computational fluid simulation of non-Newtonian two-phase fluid flow through a channel with a cavity

Multiphase smoothed particle hydrodynamics modeling of forced liquid sloshing

Free-Surface Flow Simulations with Smoothed Particle Hydrodynamics Method using High-Performance Computing

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