TY - JOUR
T1 - Pairwise Force Smoothed Particle Hydrodynamics model for multiphase flow
T2 - Surface tension and contact line dynamics
AU - Tartakovsky, Alexandre M.
AU - Panchenko, Alexander
N1 - Funding Information:
The authors wish to thank Prof. J.J. Monaghan for bringing the work of Rayleigh on a molecular theory of capillarity to their attention. The authors gratefully acknowledge funding support from the Applied Mathematics Program within the U.S. Department of Energy 's (DOE) Office of Advanced Scientific Computing Research (ASCR) as part of the Early Career Award, “New Dimension Reduction Methods and Scalable Algorithms for Multiscale Nonlinear Phenomena” ( 60105 ). Pacific Northwest National Laboratory is operated by Battelle for the DOE under Contract DE-AC05-76RL01830 .
Publisher Copyright:
© 2015 Elsevier Inc.
PY - 2016/1/15
Y1 - 2016/1/15
N2 - We present a novel formulation of the Pairwise Force Smoothed Particle Hydrodynamics (PF-SPH) model and use it to simulate two- and three-phase flows in bounded domains. In the PF-SPH model, the Navier-Stokes equations are discretized with the Smoothed Particle Hydrodynamics (SPH) method, and the Young-Laplace boundary condition at the fluid-fluid interface and the Young boundary condition at the fluid-fluid-solid interface are replaced with pairwise forces added into the Navier-Stokes equations. We derive a relationship between the parameters in the pairwise forces and the surface tension and static contact angle. Next, we demonstrate the model's accuracy under static and dynamic conditions. Finally, we use the Pf-SPH model to simulate three phase flow in a porous medium.
AB - We present a novel formulation of the Pairwise Force Smoothed Particle Hydrodynamics (PF-SPH) model and use it to simulate two- and three-phase flows in bounded domains. In the PF-SPH model, the Navier-Stokes equations are discretized with the Smoothed Particle Hydrodynamics (SPH) method, and the Young-Laplace boundary condition at the fluid-fluid interface and the Young boundary condition at the fluid-fluid-solid interface are replaced with pairwise forces added into the Navier-Stokes equations. We derive a relationship between the parameters in the pairwise forces and the surface tension and static contact angle. Next, we demonstrate the model's accuracy under static and dynamic conditions. Finally, we use the Pf-SPH model to simulate three phase flow in a porous medium.
KW - Contact line dynamics
KW - Multiphase flow
KW - Pore-scale flow
KW - Smoothed particle hydrodynamics
KW - Surface tension
KW - Three-phase flow
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U2 - 10.1016/j.jcp.2015.08.037
DO - 10.1016/j.jcp.2015.08.037
M3 - Article
AN - SCOPUS:84949523156
VL - 305
SP - 1119
EP - 1146
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
ER -