Semi-implicit, unconditionally energy stable, stabilized finite element method based on multiscale enrichment for the Cahn-Hilliard-Navier-Stokes phase-field model
DOI10.1016/j.camwa.2022.09.010OpenAlexW4297531048MaRDI QIDQ2094351
Juan Wen, Ya-Ling He, Yin-Nian He
Publication date: 28 October 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.09.010
error estimatesstabilized finite element methodenergy stabilitysemi-implicit schemeCahn-Hilliard-Navier-Stokesmultiscale enrichment
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) 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)
Cites Work
- Uniform \(H^{2}\)-regularity of solution for the 2D Navier-Stokes/Cahn-Hilliard phase field model
- Convergence analysis of a new multiscale finite element method for the stationary Navier-Stokes problem
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- Analysis of multiscale finite element method for the stationary Navier-Stokes equations
- Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows
- Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations
- Multiphase image segmentation using a phase-field model
- A generalized continuous surface tension force formulation for phase-field models for multi-component immiscible fluid flows
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- 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
- Finite element approximation of a Cahn-Hilliard-Navier-Stokes system
- Stabilized multiscale finite element method for the stationary Navier-Stokes equations
- Computation of dendrites using a phase field model
- Conservative multigrid methods for Cahn--Hilliard fluids.
- Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
- Calculation of two-phase Navier-Stokes flows using phase-field modeling
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- Geometrical image segmentation by the Allen-Cahn equation
- Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model
- A novel decoupled second-order time marching scheme for the two-phase incompressible Navier-Stokes/Darcy coupled nonlocal Allen-Cahn model
- Error analysis of a decoupled, linear stabilization scheme for the Cahn-Hilliard model of two-phase incompressible flows
- Error estimates for time discretizations of Cahn-Hilliard and Allen-Cahn phase-field models for two-phase incompressible flows
- Convergence analysis of a new multiscale finite element method with the \(P_1/P_0\) element for the incompressible flow
- Convergence Analysis of a Residual Local Projection Finite Element Method for the Navier–Stokes Equations
- Analysis of a Mixed Finite Element Method for a Cahn--Hilliard--Darcy--Stokes System
- The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data
- On a SAV-MAC scheme for the Cahn–Hilliard–Navier–Stokes phase-field model and its error analysis for the corresponding Cahn–Hilliard–Stokes case
- Analysis of finite element approximations of a phase field model for two-phase fluids
- Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
- Approximation of the global attractor for the incompressible Navier-Stokes equations
- Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model
- On Convergent Schemes for Diffuse Interface Models for Two-Phase Flow of Incompressible Fluids with General Mass Densities
- Stabilized Finite Element Methods Based on Multiscale Enrichment for the Stokes Problem
- A diffuse-interface description of internal waves in a near-critical fluid
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