For interface-tracking simulation of two-phase flows, we propose a new computational method, NS-PFM, combining Navier-Stokes (NS) equations with phase-field model (PFM). Based on the free energy theory, PFM describes an interface as a volumetric zone across which physical properties vary continuously. Surface tension is defined as an excessive free energy per unit area induced by density gradie...

In this study, Allen-Cahn (AC) and Cahn-Hilliard (CH)-type diffuse-interface advection equations based on phase-field model (PFM) [1-5] are examined for computational fluid dynamics (CFD) simulation of motions of microscopic immiscible incompressible isothermal two-phase fluid contacting solid surface with heterogeneous wettability. For solving an AC equation revised in conservation form, a lat...

We formulate new multi-phase convective heat transfer equations by combining the three-dimensional (3D) Navier–Stokes equations, the energy equation and the Cahn–Hilliard equation for the phase field variable /ðx; tÞ. The density, viscosity, heat capacity and conductivity are functions of /ðx; tÞ. The equations are solved in time with a splitting scheme that decouples the flow and temperature v...

The complete system of phase field equations for coupled martensitic phase transformations (PTs), dislocation evolution, and mechanics at large strains is presented. Finite element method (FEM) is utilized to solve this system for two important problems. The first one is related to the simulation of shear strain-induced PT at the evolving dislocation pile-ups in a nanosized bicrystal. Plasticit...

A two-phase diffuse interface model previously developed by the authors is used to simulate the buoyancy-driven flow and Rayleigh-Taylor instability of fluid layers inside a Hele-Shaw cell. The model assumes that the two phases coexist inside the diffuse interface with different properties and velocities. A separate momentum equation is used to calculate the slip velocity between the two phases...

facts technology has considerable applications in power systems, such as; improving the steady stateperformance, damping the power system oscillations, controlling the power flow, and etc. statcom is oneof the most important facts devices used in the parallel compensation, enhancing transient stability andetc. since three phase fault is widespread in power systems, in this paper statcom is used...

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