2015
DOI: 10.1002/fld.4207
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An SPH pressure correction algorithm for multiphase flows with large density ratio

Abstract: Summary In this paper, we propose an interfacial pressure correction algorithm for smoothed particle hydrodynamics (SPH) simulation of multiphase flows with large density ratios. This correction term is based on the assumption of small deformation of the interface, and derived from perturbation expansion analysis. It is also proven to be applicable in cases with complex interfaces. This correction algorithm helps to overcome the discontinuities of the pressure gradient over the interfaces, which may cause unph… Show more

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Cited by 13 publications
(8 citation statements)
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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%
“…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%
“…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%
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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%