A phase-field model and its efficient numerical method for two-phase flows on arbitrarily curved surfaces in 3D space
type: Item
instance of: scholarly article
title: A phase-field model and its efficient numerical method for two-phase flows on arbitrarily curved surfaces in 3D space
zbMATH Open document ID: 1506.76104
author: Junxiang Yang
author: Junseok Kim
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2021-04-26T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76T06
zbMATH DE Number: 7337878
zbMATH Keywords: two-phase fluid flow
zbMATH Keywords: Cahn-Hilliard equation
zbMATH Keywords: Kevin-Helmholtz instability
zbMATH Keywords: Rayleigh-Taylor instability
MaRDI profile type: Publication
full work available at URL: j.cma.2020.113382
OpenAlex ID: W3082526280
Wikidata QID: Q112880593
cites work: A numerical method for solving incompressible viscous flow problems
cites work: A bridge between projection methods and SIMPLE type methods for incompressible Navier–Stokes equations
cites work: On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
cites work: Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
cites work: Moving Mesh Finite Element Methods for the Incompressible Navier--Stokes Equations
cites work: A direct discontinuous Galerkin method for the incompressible Navier-Stokes equations on arbitrary grids
cites work: Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable
cites work: On meshfree GFDM solvers for the incompressible Navier-Stokes equations
cites work: Dynamic term-by-term stabilized finite element formulation using orthogonal subgrid-scales for the incompressible Navier-Stokes problem
cites work: A new genuinely two-dimensional Riemann solver for multidimensional Euler and Navier-Stokes equations
cites work: Shear rate projection schemes for non-Newtonian fluids
cites work: A low-rank solver for the stochastic unsteady Navier-Stokes problem
cites work: Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes
cites work: A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows
cites work: On the long time simulation of the Rayleigh-Taylor instability
cites work: Diffuse interface model for incompressible two-phase flows with large density ratios
cites work: Diffuse interface simulation of ternary fluids in contact with solid
cites work: A diffuse interface model for two-phase ferrofluid flows
cites work: A coupled phase field framework for solving incompressible two-phase flows
cites work: An efficient numerical algorithm for solving viscosity contrast Cahn-Hilliard-Navier-Stokes system in porous media
cites work: Efficient energy-stable schemes for the hydrodynamics coupled phase-field model
cites work: Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities
cites work: Efficient, second oder accurate, and unconditionally energy stable numerical scheme for a new hydrodynamics coupled binary phase-field surfactant system
cites work: Phase field modeling and simulation of three-phase flow on solid surfaces
cites work: Finite element approximation of the Cahn-Hilliard equation on surfaces
cites work: An unconditionally energy-stable second-order time-accurate scheme for the Cahn-Hilliard equation on surfaces
cites work: Fourth order partial differential equations on general geometries
cites work: An efficient time adaptivity based on chemical potential for surface Cahn-Hilliard equation using finite element approximation
cites work: Motion by mean curvature of curves on surfaces using the Allen-Cahn Equation
cites work: A simple and efficient finite difference method for the phase-field crystal equation on curved surfaces
cites work: An efficient linear second order unconditionally stable direct discretization method for the phase-field crystal equation on surfaces
cites work: Discrete exterior calculus discretization of incompressible Navier-Stokes equations over surface simplicial meshes
cites work: Discrete Exterior Calculus (DEC) for the Surface Navier-Stokes Equation
cites work: A practical finite difference scheme for the Navier-Stokes equation on curved surfaces in \(\mathbb{R}^3\)
cites work: A finite element approach to incompressible two-phase flow on manifolds
cites work: Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
cites work: An improvement of a recent Eulerian method for solving PDEs on general geometries
cites work: Numerical simulation of the zebra pattern formation on a three-dimensional model
cites work: Thermodynamically consistent modelling of two-phase flows with moving contact line and soluble surfactants
cites work: A simple embedding method for solving partial differential equations on surfaces
cites work: Solving eigenvalue problems on curved surfaces using the closest point method
cites work: Three-dimensional volume-conserving immersed boundary model for two-phase fluid flows
cites work: An immersed boundary method for a contractile elastic ring in a three-dimensional Newtonian fluid
cites work: A decoupled monolithic projection method for natural convection problems
cites work: Fully decoupled monolithic projection method for natural convection problems
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
cites work: AN AUGMENTED PROJECTION METHOD FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN ARBITRARY DOMAINS
cites work: A Conservative Numerical Method for the Cahn–Hilliard Equation with Generalized Mobilities on Curved Surfaces in Three-Dimensional Space
cites work: Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations
cites work: Two-dimensional Kelvin-Helmholtz instabilities of multi-component fluids
DOI: 10.1016/J.CMA.2020.113382
description: scientific article; zbMATH DE number 7337878