A new surface-tension formulation for multi-phase SPH using a reproducing divergence approximation

An SPH modeling of bubble rising and coalescing in three dimensions

“…The numerical results are validated by the experimental data in the literature [29][30][31]. The problem that the final results are greatly affected by the interface sharpness force mentioned in Szewc et al [36,37] is solved by using a density-weighted surface tension model presented in Adami et al [38]. Besides, the interface sharpness force proposed in Grenier et al [27], which causes negligible effects on the final results, is applied to avoid the interface penetration.…”

“…In the present work, a multiphase SPH model, which is built taking care on combining the advantages of different SPH models [1,25,27,38], is applied to simulate the phenomena of bubbles rising and coalescing. The numerical results are validated by the experimental data in the literature [29][30][31].…”

Application of Smoothed Particle Hydrodynamics (SPH) to Flow Simulations in Oil Reservoir Rocks

“…As a further prospect, flow simulations from digital images of real rocks would demand a multiscale approach to solve for small pores and fractures with enough accuracy and efficiency. A promising way is to use adaptive kernels based on density estimations as the ones proposed by Silverman, 28 which have been successfully employed to resolve free surfaces, fluid-fluid interfaces, and sharp discontinuities accurately. 29,30 …”

Study of Multi-phase Flow in Porous Media: Comparison of SPH Simulations with Micro-model Experiments

“…Adami et al (2010b) proposed a formulation which performs the volume reformulation with a density weighting. This formulation tends to an increased mixing of the two phases.…”