Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model
From MaRDI portal
Publication:1987762
DOI10.1007/s10444-020-09764-4zbMath1436.65125OpenAlexW3012062350MaRDI QIDQ1987762
Rui Li, Xiaoming He, Jie Chen, Li Zhang, Zhang-Xin Chen, Ya-Li Gao
Publication date: 15 April 2020
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-020-09764-4
phase field modeldiscontinuous finite volume element methodsdiscrete energy dissipationNavier-Stokes-Cahn-Hilliard equation
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Capillarity (surface tension) for incompressible viscous fluids (76D45) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Liquid-liquid two component flows (76T06)
Related Items
Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities, Numerical simulation of binary fluid-surfactant phase field model coupled with geometric curvature on the curved surface, Convergence of a Decoupled Splitting Scheme for the Cahn–Hilliard–Navier–Stokes System, A fully decoupled numerical method for Cahn-Hilliard-Navier-Stokes-Darcy equations based on auxiliary variable approaches, Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model, Discontinuous finite volume element method for Darcy flows in fractured porous media, An adaptive discontinuous finite volume element method for the Allen-Cahn equation, Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes, An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model, Numerical analysis of fully discrete energy stable weak Galerkin finite element scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model, The stabilized penalty-projection finite element method for the Navier-Stokes-Cahn-Hilliard-Oono system, A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system, Semi-implicit, unconditionally energy stable, stabilized finite element method based on multiscale enrichment for the Cahn-Hilliard-Navier-Stokes phase-field model, Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A numerical method for a model of two-phase flow in a coupled free flow and porous media system
- An efficient scheme for a phase field model for the moving contact line problem with variable density and viscosity
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- A stabilized mixed discontinuous Galerkin method for the incompressible miscible displacement problem
- 3D adaptive finite element method for a phase field model for the moving contact line problems
- A gradient stable scheme for a phase field model for the moving contact line problem
- Convergence of the discontinuous finite volume method for elliptic problems with minimal regularity
- Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
- A hybrid-mesh hybridizable discontinuous Galerkin method for solving the time-harmonic Maxwell's equations
- A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-dimensions
- A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line
- Block preconditioners for LDG discretizations of linear incompressible flow problems
- An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations
- Discontinuous Galerkin spectral element approximations on moving meshes
- Energy law preserving \(C^0\) finite element schemes for phase field models in two-phase flow computations
- An adaptive discontinuous finite volume method for elliptic problems
- Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation
- Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models
- Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry
- Local discontinuous Galerkin methods for the generalized Zakharov system
- A lattice Boltzmann model for multiphase flows with large density ratio
- Equal order discontinuous finite volume element methods for the Stokes problem
- Finite element approximation of a Cahn-Hilliard-Navier-Stokes system
- An adaptive phase field method for the mixture of two incompressible fluids
- A discontinuous \(hp\) finite element method for diffusion problems
- Numerical approximations for a smectic-A liquid crystal flow model: first-order, linear, decoupled and energy stable schemes
- Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method
- An HDG method for distributed control of convection diffusion PDEs
- Construction of seamless immersed boundary phase-field method
- The least-squares spectral element method for phase-field models for isothermal fluid mixture
- A reduced-order DG formulation based on POD method for the time-domain Maxwell's equations in dispersive media
- A phase-field model for liquid-gas mixtures: mathematical modelling and discontinuous Galerkin discretization
- A finite volume/discontinuous Galerkin method for the advective Cahn-Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging
- Discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem
- Regularized linear schemes for the molecular beam epitaxy model with slope selection
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
- A positivity-preserving well-balanced central discontinuous Galerkin method for the nonlinear shallow water equations
- A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows
- An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system
- A posteriori error analysis for discontinuous finite volume methods of elliptic interface problems
- Numerical approximations for the hydrodynamics coupled binary surfactant phase field model: second-order, linear, unconditionally energy-stable schemes
- Fast, unconditionally energy stable large time stepping method for a new Allen-Cahn type square phase-field crystal model
- A reduced-order discontinuous Galerkin method based on a Krylov subspace technique in nanophotonics
- Mathematical modeling and numerical simulation of two-phase flows using Fourier pseudospectral and front-tracking methods: the proposition of a new method
- Efficient, non-iterative, and second-order accurate numerical algorithms for the anisotropic Allen-Cahn equation with precise nonlocal mass conservation
- Optimized Schwarz algorithms for solving time-harmonic Maxwell's equations discretized by a hybridizable discontinuous Galerkin method
- Analysis of a discontinuous Galerkin method for the Biot's consolidation problem
- An energy law preserving \(C^0\) finite element scheme for simulating the kinematic effects in liquid crystal dynamics
- Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn–Hilliard Equation and the Hele–Shaw Flow
- A discontinuous finite volume element method for second-order elliptic problems
- A mixed and discontinuous Galerkin finite volume element method for incompressible miscible displacement problems in porous media
- Two-phase flows in karstic geometry
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
- Discontinuous finite volume methods for the stationary Stokes–Darcy problem
- A Hybrid Discontinuous Galerkin Method for Elliptic Problems
- Finite Element Approximations of the Ericksen–Leslie Model for Nematic Liquid Crystal Flow
- Analysis of finite element approximations of a phase field model for two-phase fluids
- Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition
- An Extended Finite Element Method for Two-Phase Fluids
- Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- The intrinsic XFEM for two-fluid flows
- Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems
- Finite Element Methods for Navier-Stokes Equations
- An Interior Penalty Finite Element Method with Discontinuous Elements
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Local Discontinuous Galerkin Methods for the Stokes System
- Phase-Field Models for Multi-Component Fluid Flows
- A DDFV method for a Cahn−Hilliard/Stokes phase field model with dynamic boundary conditions
- Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model
- Reliable and efficient a posteriori error estimates of DG methods for a frictional contact problem
- A New Discontinuous Finite Volume Method for Elliptic Problems
- Comparison results and unified analysis for first-order finite volume element methods for a Poisson model problem
- A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
- Phase-field modeling by the method of lattice Boltzmann equations
- Discontinuous finite volume element method for parabolic problems
- Wong--Zakai Approximations of Stochastic Allen-Cahn Equation
- Discontinuous Galerkin Methods for the Biharmonic Problem on Polygonal and Polyhedral Meshes
- Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn–Hilliard equation
- The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections
- A $L^\infty$ bound for the Cahn--Hilliard equation with relaxed non-smooth free energy
- The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
- A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations
- A unified a posteriori error estimator for finite volume methods for the stokes equations
- Unified Analysis of Finite Volume Methods for the Stokes Equations
- A Discontinuous Finite Volume Method for the Stokes Problems
