Physics-informed neural networks for phase-field method in two-phase flow

R Qiu, R Huang, Y Xiao, J Wang, Z Zhang, J Yue… - Physics of …, 2022 - pubs.aip.org
The complex flow modeling based on machine learning is becoming a promising way to
describe multiphase fluid systems. This work demonstrates how a physics-informed neural …

Deforming fluid domains within the finite element method: five mesh-based tracking methods in comparison

S Elgeti, H Sauerland - Archives of Computational Methods in …, 2016 - Springer
Fluid flow applications can involve a number of coupled problems. One is the simulation of
free-surface flows, which require the solution of a free-boundary problem. Within this …

Wetting resistance at its topographical limit: the benefit of mushroom and serif T structures

R Hensel, R Helbig, S Aland, HG Braun, A Voigt… - Langmuir, 2013 - ACS Publications
Springtails (Collembola) are wingless arthropods adapted to cutaneous respiration in
temporarily rain-flooded habitats. They immediately form a plastron, protecting them against …

[HTML][HTML] Efficient energy-stable schemes for the hydrodynamics coupled phase-field model

G Zhu, H Chen, J Yao, S Sun - Applied Mathematical Modelling, 2019 - Elsevier
In this article, several efficient and energy-stable semi–implicit schemes are presented for
the Cahn–Hilliard phase-field model of two-phase incompressible flows. A scalar auxiliary …

Validation of the S‐CLSVOF method with the density‐scaled balanced continuum surface force model in multiphase systems coupled with thermocapillary flows

T Yamamoto, Y Okano, S Dost - International Journal for …, 2017 - Wiley Online Library
Three numerical methods, namely, volume of fluid (VOF), simple coupled volume of fluid
with level set (S‐CLSVOF), and S‐CLSVOF with the density‐scaled balanced continuum …

Conservative Allen–Cahn–Navier–Stokes system for incompressible two-phase fluid flows

D Jeong, J Kim - Computers & Fluids, 2017 - Elsevier
A new phase-field model for immiscible incompressible two-phase liquid flows has been
developed. The model consists of a conservative Allen–Cahn equation with a space-time …

Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier–Stokes–Cahn–Hilliard system: Primitive variable and projection …

Z Guo, P Lin, J Lowengrub, SM Wise - Computer Methods in Applied …, 2017 - Elsevier
In this paper we describe two fully mass conservative, energy stable, finite difference
methods on a staggered grid for the quasi-incompressible Navier–Stokes–Cahn–Hilliard (q …

A mass-conserved diffuse interface method and its application for incompressible multiphase flows with large density ratio

Y Wang, C Shu, JY Shao, J Wu, XD Niu - Journal of Computational Physics, 2015 - Elsevier
In this work a mass-conserved diffuse interface method is proposed for simulating
incompressible flows of binary fluids with large density ratio. In the method, a mass …

A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects

Z Guo, P Lin - Journal of Fluid Mechanics, 2015 - cambridge.org
In this paper, we develop a phase-field model for binary incompressible (quasi-
incompressible) fluid with thermocapillary effects, which allows for the different properties …

Fully discrete second-order linear schemes for hydrodynamic phase field models of binary viscous fluid flows with variable densities

Y Gong, J Zhao, X Yang, Q Wang - SIAM Journal on Scientific Computing, 2018 - SIAM
We develop spatial-temporally second-order, energy stable numerical schemes for two
classes of hydrodynamic phase field models of binary viscous fluid mixtures of different …