Extended smoothed boundary method for solving partial differential equations with general boundary conditions on complex boundaries

HC Yu, HY Chen, K Thornton - Modelling and Simulation in …, 2012 - iopscience.iop.org
In this paper, we describe an approach for solving partial differential equations with general
boundary conditions imposed on arbitrarily shaped boundaries. A continuous function, the …

Moving contact lines and dynamic contact angles: a 'litmus test'for mathematical models, accomplishments and new challenges

YD Shikhmurzaev - The European Physical Journal Special Topics, 2020 - Springer
After a brief overview of the 'moving contact-line problem'as it emerged and evolved as a
research topic, a 'litmus test'allowing one to assess adequacy of the mathematical models …

Phase-field modelling in extractive metallurgy

I Bellemans, N Moelans, K Verbeken - Critical Reviews in Solid …, 2018 - Taylor & Francis
The phase-field method has already proven its usefulness to simulate microstructural
evolution for several applications, eg, during solidification, solid-state phase transformations …

Apparent contact angles for reactive wetting of smooth, rough, and heterogeneous surfaces calculated from the variational principles

E Bormashenko - Journal of colloid and interface science, 2019 - Elsevier
Apparent steady contact angles inherent for reactive wetting of flat, rough and chemically
heterogeneous solid surfaces are calculated from the variational analysis of the reactive …

Phase-field modeling of sigma-phase precipitation in 25Cr7Ni4Mo duplex stainless steel

A Malik, J Odqvist, L Höglund, S Hertzman… - … Materials Transactions A, 2017 - Springer
Phase-field modeling is used to simulate the formation of sigma phase in a model alloy
mimicking a commercial super duplex stainless steel (SDSS) alloy, in order to study …

Phase-field modeling of reactive wetting and growth of the intermetallic Al2Au phase in the Al-Au system

F Wang, A Reiter, M Kellner, J Brillo, M Selzer… - Acta Materialia, 2018 - Elsevier
When an Al-droplet is in contact with an Au-solid substrate, the liquid phase reacts with the
substrate and an intermetallic layer is formed at the solid-liquid interface due to diffusion and …

Droplet spreading on a surface exhibiting solid-liquid interfacial premelting

Y Yang, BB Laird - Acta Materialia, 2018 - Elsevier
We study, using molecular-dynamics (MD) simulation, the spreading kinetics and
equilibrium shape of liquid Pb droplets on an Al (111) substrate. The Al-Pb solid-liquid …

A diffuse-interface model of reactive wetting with intermetallic formation

W Villanueva, WJ Boettinger, GB McFadden… - Acta Materialia, 2012 - Elsevier
A diffuse-interface model of reactive wetting with intermetallic formation is developed that
incorporates fluid flow, phase change and solute diffusion. The model is based on the total …

Evolution of the interfacial shape in dissolutive wetting: coupling of wetting and dissolution

J Yang, Q Yuan, YP Zhao - International Journal of Heat and Mass Transfer, 2018 - Elsevier
Interface evolution of a droplet on a dissolvable substrate is controlled by coupling of wetting
and dissolution, which makes dissolutive wetting more complicated than wetting on inert …

Multicomponent and multiphase simulation of liquid-phase sintering

W Villanueva, K Grönhagen, G Amberg… - Computational materials …, 2009 - Elsevier
Numerical simulation of liquid-phase sintering using a multicomponent and multiphase
model is presented. The model consists of convective concentration and phase-field …