Phase-field models for fluid mixtures

Mean field theory of inhomogeneous fluid mixtures

Three-dimensional, fully adaptive simulations of phase-field fluid models

We present an efficient numerical methodology for the 3D computation of incompressible multi-phase flows described by conservative phase field models. We focus here on the case of density matched fluids with different viscosity (Model H). The numerical method employs adaptive mesh refinements (AMR) in concert with an efficient semi-implicit time discretization strategy and a linear, multi-level...

Hyperbolic Models of Homogeneous Two-Fluid Mixtures

Abstract. One derives the governing equations and the Rankine Hugoniot conditions for a mixture of two miscible fluids using an extended form of Hamilton’s principle of least action. The Lagrangian is constructed as the difference between the kinetic energy and a potential depending on the relative velocity of components. To obtain the governing equations and the jump conditions one uses two re...

Phase-field model of long-time glasslike relaxation in binary fluid mixtures.

We present a new phase-field model for binary fluids, exhibiting typical signatures of soft-glassy behavior, such as long-time relaxation, aging, and long-term dynamical arrest. The present model allows the cost of building an interface to vanish locally within the interface, while preserving positivity of the overall surface tension. A crucial consequence of this property, which we prove analy...

Performance Evaluation of Dynamic Modulus Predictive Models for Asphalt Mixtures

Dynamic modulus characterizes the viscoelastic behavior of asphalt materials and is the most important input parameter for design and rehabilitation of flexible pavements using Mechanistic–Empirical Pavement Design Guide (MEPDG). Laboratory determination of dynamic modulus is very expensive and time consuming. To overcome this challenge, several predictive models were developed to determine dyn...