gPAV-based unconditionally energy-stable schemes for the Cahn-Hilliard equation: stability and error analysis (Q2021073)

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English	gPAV-based unconditionally energy-stable schemes for the Cahn-Hilliard equation: stability and error analysis	scientific article

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scholarly article

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title

gPAV-based unconditionally energy-stable schemes for the Cahn-Hilliard equation: stability and error analysis (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

26 April 2021

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full work available at URL

https://arxiv.org/abs/2006.08042

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zbMATH Keywords

energy stability

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auxiliary variable

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generalized positive auxiliary variable

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scalar auxiliary variable

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Cahn-Hilliard equation

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MaRDI profile type

MaRDI publication profile

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cites work

Free Energy of a Nonuniform System. I. Interfacial Free Energy

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Quasi–incompressible Cahn–Hilliard fluids and topological transitions

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A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method

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THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES

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Wall-bounded multiphase flows of \(N\) immiscible incompressible fluids: consistency and contact-angle boundary condition

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An efficient algorithm for incompressible \(N\)-phase flows

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Multiphase flows of \(N\) immiscible incompressible fluids: a reduction-consistent and thermodynamically-consistent formulation and associated algorithm

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Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows

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Numerical methods for solving the Cahn-Hilliard equation and its applicability to related energy-based models

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A family of second-order energy-stable schemes for Cahn-Hilliard type equations

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An outflow boundary condition and algorithm for incompressible two-phase flows with phase field approach

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On linear schemes for a Cahn-Hilliard diffuse interface model

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A second order splitting method for the Cahn-Hilliard equation

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A stable and conservative finite difference scheme for the Cahn-Hilliard equation

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Error analysis of a mixed finite element method for the Cahn-Hilliard equation

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Conservative multigrid methods for Cahn--Hilliard fluids.

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Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows

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Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations

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Energy law preserving \(C^0\) finite element schemes for phase field models in two-phase flow computations

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The Global Dynamics of Discrete Semilinear Parabolic Equations

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An energy law preserving \(C^0\) finite element scheme for simulating the kinematic effects in liquid crystal dynamics

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Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models

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A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities

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Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

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Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities

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Energy and entropy preserving numerical approximations of thermodynamically consistent crystal growth models

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A variant of scalar auxiliary variable approaches for gradient flows

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An unconditionally energy-stable scheme based on an implicit auxiliary energy variable for incompressible two-phase flows with different densities involving only precomputable coefficient matrices

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Identifiers

zbMATH Open document ID

1506.65161

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DOI

10.1016/j.cma.2020.113444

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2021073