Journal ArticleDOI
Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing
TLDR
A novel numerical algorithm for simulating interfacial dynamics of non-Newtonian fluids using an efficient adaptive meshing scheme governed by the phase-field variable that easily accommodates complex flow geometry and makes it possible to simulate large-scale two-phase systems of complex fluids.About:
This article is published in Journal of Computational Physics.The article was published on 2006-11-20. It has received 378 citations till now. The article focuses on the topics: Fluid dynamics & Complex fluid.read more
Citations
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Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications
TL;DR: A comprehensive review of numerical methods and models for interface resolving simulations of multiphase flows in microfluidics and micro process engineering is presented in this paper, where three common approaches in the sharp interface limit, namely the volume-of-fluid method with interface reconstruction, the level set method and the front tracking method, as well as methods with finite interface thickness such as color function based methods and the phase-field method are discussed.
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Sharp-interface limit of the Cahn-Hilliard model for moving contact lines
TL;DR: In this paper, the Cahn-Hilliard diffusion regularizes the singularity at the contact line, and it is shown that the diffusion has a diffusion length related to the slip length in sharp-interface models.
Journal ArticleDOI
Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching
TL;DR: This work shows that taxis may play a role in tumor invasion and that when nutrient plays the role of a chemoattractant, the diffusional instability is exacerbated by nutrient gradients, as predicted by linear stability theory.
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Morphology of asphalts, asphalt fractions and model wax-doped asphalts studied by atomic force microscopy
TL;DR: In this paper, the interaction between crystallising paraffin waxes and the remaining asphalt fractions is hypothesized to be responsible for much of the structuring, including the well-known bee structures.
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Numerical Simulations of Flows with Moving Contact Lines
TL;DR: The main models for moving contact lines are summarized and an overview of computational methods that includes direct continuum approaches and macroscale models that resolve only the large-scale flow by modeling the effects of the conditions near the contact line using theory are presented.
References
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Journal ArticleDOI
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
A. N. Brooks,Thomas J. R. Hughes +1 more
TL;DR: In this article, a new finite element formulation for convection dominated flows is developed, based on the streamline upwind concept, which provides an accurate multidimensional generalization of optimal one-dimensional upwind schemes.
Journal ArticleDOI
Diffuse-interface methods in fluid mechanics
TL;DR: Issues including sharp-interface analyses that relate these models to the classical free-boundary problem, computational approaches to describe interfacial phenomena, and models of fully miscible fluids are addressed.
Journal ArticleDOI
Regular Article: Calculation of Two-Phase Navier–Stokes Flows Using Phase-Field Modeling
TL;DR: In this article, the Navier-Stokes equations are modified by the addition of the continuum forcing [emailprotected]?->@f, where C is the composition variable and @f is C's chemical potential.