Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model
type: Item
instance of: scholarly article
title: Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model
zbMATH Open document ID: 1436.65125
author: Rui Li
author: Jie Chen
author: Li Zhang
author: Xiaoming He
author: Yali Gao
author: Zhangxin Chen
published in: Advances in Computational Mathematics
publication date: 2020-04-15T00:00:00Z
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76D45
Mathematics Subject Classification ID: 76T06
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7189707
zbMATH Keywords: phase field model
zbMATH Keywords: Navier-Stokes-Cahn-Hilliard equation
zbMATH Keywords: discontinuous finite volume element methods
zbMATH Keywords: discrete energy dissipation
describes a project that uses: iFEM
MaRDI profile type: Publication
full work available at URL: s10444-020-09764-4
OpenAlex ID: W3012062350
cites work: An Interior Penalty Finite Element Method with Discontinuous Elements
cites work: Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
cites work: Finite Element Approximations of the Ericksen–Leslie Model for Nematic Liquid Crystal Flow
cites work: Discontinuous finite volume element method for parabolic problems
cites work: A discontinuous finite volume element method for second-order elliptic problems
cites work: A DDFV method for a Cahn−Hilliard/Stokes phase field model with dynamic boundary conditions
cites work: Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation
cites work: Comparison results and unified analysis for first-order finite volume element methods for a Poisson model problem
cites work: An HDG method for distributed control of convection diffusion PDEs
cites work: A numerical method for a model of two-phase flow in a coupled free flow and porous media system
cites work: Regularized linear schemes for the molecular beam epitaxy model with slope selection
cites work: Q4620452
cites work: Analysis of a discontinuous Galerkin method for the Biot's consolidation problem
cites work: Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models
cites work: Q4626933
cites work: An Extended Finite Element Method for Two-Phase Fluids
cites work: Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems
cites work: Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
cites work: Local Discontinuous Galerkin Methods for the Stokes System
cites work: The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
cites work: Unified Analysis of Finite Volume Methods for the Stokes Equations
cites work: Discontinuous Galerkin Methods for the Biharmonic Problem on Polygonal and Polyhedral Meshes
cites work: Phase-field modeling by the method of lattice Boltzmann equations
cites work: Analysis of finite element approximations of a phase field model for two-phase fluids
cites work: Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition
cites work: Analysis of mixed interior penalty discontinuous Galerkin methods for the Cahn-Hilliard equation and the Hele-Shaw flow
cites work: Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
cites work: A finite volume/discontinuous Galerkin method for the advective Cahn-Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging
cites work: The intrinsic XFEM for two-fluid flows
cites work: A gradient stable scheme for a phase field model for the moving contact line problem
cites work: An efficient scheme for a phase field model for the moving contact line problem with variable density and viscosity
cites work: Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
cites work: Q4693060
cites work: Two-phase flows in karstic geometry
cites work: A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
cites work: Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry
cites work: A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line
cites work: Optimized Schwarz algorithms for solving time-harmonic Maxwell's equations discretized by a hybridizable discontinuous Galerkin method
cites work: An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system
cites work: Energy law preserving \(C^0\) finite element schemes for phase field models in two-phase flow computations
cites work: Numerical approximations for a smectic-A liquid crystal flow model: first-order, linear, decoupled and energy stable schemes
cites work: A Hybrid Discontinuous Galerkin Method for Elliptic Problems
cites work: A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-dimensions
cites work: A $L^\infty$ bound for the Cahn--Hilliard equation with relaxed non-smooth free energy
cites work: Block preconditioners for LDG discretizations of linear incompressible flow problems
cites work: Finite element approximation of a Cahn-Hilliard-Navier-Stokes system
cites work: Q4521890
cites work: Phase-Field Models for Multi-Component Fluid Flows

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A mixed and discontinuous Galerkin finite volume element method for incompressible miscible displacement problems in porous media

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Equal order discontinuous finite volume element methods for the Stokes problem

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A reduced-order DG formulation based on POD method for the time-domain Maxwell's equations in dispersive media

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A reduced-order discontinuous Galerkin method based on a Krylov subspace technique in nanophotonics

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A positivity-preserving well-balanced central discontinuous Galerkin method for the nonlinear shallow water equations

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Fast, unconditionally energy stable large time stepping method for a new Allen-Cahn type square phase-field crystal model

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: An energy law preserving \(C^0\) finite element scheme for simulating the kinematic effects in liquid crystal dynamics

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn–Hilliard equation

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: An adaptive discontinuous finite volume method for elliptic problems

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Convergence of the discontinuous finite volume method for elliptic problems with minimal regularity

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Wong--Zakai Approximations of Stochastic Allen-Cahn Equation

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A stabilized mixed discontinuous Galerkin method for the incompressible miscible displacement problem

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Discontinuous Galerkin spectral element approximations on moving meshes

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A posteriori error analysis for discontinuous finite volume methods of elliptic interface problems

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Construction of seamless immersed boundary phase-field method

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A discontinuous \(hp\) finite element method for diffusion problems

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: The least-squares spectral element method for phase-field models for isothermal fluid mixture

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Q5374420

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A phase-field model for liquid-gas mixtures: mathematical modelling and discontinuous Galerkin discretization

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: 3D adaptive finite element method for a phase field model for the moving contact line problems

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Navier-Stokes equations. Theory and numerical analysis. Repr. with corr

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density''

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Mathematical modeling and numerical simulation of two-phase flows using Fourier pseudospectral and front-tracking methods: the proposition of a new method

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Reliable and efficient a posteriori error estimates of DG methods for a frictional contact problem

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Discontinuous finite volume methods for the stationary Stokes–Darcy problem

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A unified a posteriori error estimator for finite volume methods for the stokes equations

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Q3085546

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: An Elliptic Collocation-Finite Element Method with Interior Penalties

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Local discontinuous Galerkin methods for the generalized Zakharov system

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Numerical approximations for the hydrodynamics coupled binary surfactant phase field model: second-order, linear, unconditionally energy-stable schemes

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Q4620430

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Q4620447

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A New Discontinuous Finite Volume Method for Elliptic Problems

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A Discontinuous Finite Volume Method for the Stokes Problems

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: Efficient, non-iterative, and second-order accurate numerical algorithms for the anisotropic Allen-Cahn equation with precise nonlocal mass conservation

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: An adaptive phase field method for the mixture of two incompressible fluids

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A lattice Boltzmann model for multiphase flows with large density ratio

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (cites work)
cites work: A hybrid-mesh hybridizable discontinuous Galerkin method for solving the time-harmonic Maxwell's equations

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model (DOI)
DOI: 10.1007/S10444-020-09764-4