A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow (Q2125434)

scientific article; zbMATH DE number 7507232

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English	A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow	scientific article; zbMATH DE number 7507232

Statements

instance of

scholarly article

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title

A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow (English)

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author

Guosheng Fu

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published in

Journal of Computational Physics

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publication date

14 April 2022

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full work available at URL

https://arxiv.org/abs/2002.09150

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zbMATH Keywords

divergence-free HDG

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EDG

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incompressible two-phase flow

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phase-field model

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describes a project that uses

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

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DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS

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Implicit-Explicit Methods for Time-Dependent Partial Differential Equations

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A finite element method for the numerical solution of the coupled Cahn-Hilliard and Navier-Stokes system for moving contact line problems

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A theoretical and numerical model for the study of incompressible mixture flows

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$C^0$ interior penalty methods for fourth order elliptic boundary value problems on polygonal domains

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Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models

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An Analysis of the Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems

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Diffuse interface model for incompressible two-phase flows with large density ratios

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A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios

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Energy exchange analysis in droplet dynamics via the Navier–Stokes–Cahn–Hilliard model

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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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Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection

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Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model

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Numerical Methods for Two-phase Incompressible Flows

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A projection FEM for variable-density incompressible flows

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Splitting Schemes for a Navier-Stokes-Cahn-Hilliard Model for Two Fluids with Different Densities

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Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes

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A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law

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A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation

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Isogeometric analysis of the Navier-Stokes-Cahn-Hilliard equations with application to incompressible two-phase flows

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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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Quantitative benchmark computations of two-dimensional bubble dynamics

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Calculation of two-phase Navier-Stokes flows using phase-field modeling

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On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows

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Divergence-Conforming Discontinuous Galerkin Methods and $C^0$ Interior Penalty Methods

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Finite element approximation of a Cahn-Hilliard-Navier-Stokes system

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High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows

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On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime

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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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Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density

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Quasi–incompressible Cahn–Hilliard fluids and topological transitions

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Simulating two-phase flows with thermodynamically consistent energy stable Cahn-Hilliard Navier-Stokes equations on parallel adaptive octree based meshes

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An unconditionally stable uncoupled scheme for a triphasic Cahn–Hilliard/Navier–Stokes model

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A class of embedded discontinuous Galerkin methods for computational fluid dynamics

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The least-squares spectral element method for phase-field models for isothermal fluid mixture

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Q5374420

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A phase-field model for liquid-gas mixtures: mathematical modelling and discontinuous Galerkin discretization

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On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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

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Diffuse-interface two-phase flow models with different densities: A new quasi-incompressible form and a linear energy-stable method

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Numerical simulations of the Rayleigh-Taylor instability

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A lattice Boltzmann model for multiphase flows with large density ratio

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2020.109671

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Sitelinks

Mathematics(1 entry)

mardi Publication:2125434