Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
A continuum method for modeling surface tension
Journal of Computational Physics
Simulating free surface flows with SPH
Journal of Computational Physics
Motion of multiple junctions: a level set approach
Journal of Computational Physics
An adaptive level set approach for incompressible two-phase flows
Journal of Computational Physics
Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
Journal of Computational Physics
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Computation of multiphase systems with phase field models
Journal of Computational Physics
Numerical simulation of wavy falling film flow using VOF method
Journal of Computational Physics
A multi-phase SPH method for macroscopic and mesoscopic flows
Journal of Computational Physics
An Hamiltonian interface SPH formulation for multi-fluid and free surface flows
Journal of Computational Physics
Simulation of surface tension in 2D and 3D with smoothed particle hydrodynamics method
Journal of Computational Physics
Pressure boundary conditions for computing incompressible flows with SPH
Journal of Computational Physics
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In this study, a new surface tension formulation for modeling incompressible, immiscible three-phase fluid flows in the context of incompressible smoothed particle hydrodynamics (ISPH) in two dimensions has been proposed. A continuum surface force model is employed to transform local surface tension force to a volumetric force while physical surface tension coefficients are expressed as the sum of phase specific surface tension coefficients, facilitating the implementation of the proposed method at triple junctions where all three phases are present. Smoothed color functions at fluid interfaces along with artificial particle displacement throughout the computational domain are combined to increase accuracy and robustness of the model. In order to illustrate the effectiveness of the proposed method, several numerical simulations have been carried out and results are compared to analytical data available in literature. Results obtained by simulations are compatible with analytical data, demonstrating that the ISPH scheme proposed here is capable of handling three-phase flows accurately.