A second-order, mass-conservative, unconditionally stable and bound-preserving finite element method for the quasi-incompressible Cahn-Hilliard-Darcy system
DOI10.1016/J.JCP.2024.113340MaRDI QIDQ6615735
Daozhi Han, Yali Gao, Xiaoming Wang
Publication date: 8 October 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
variable densityenergy stabilitysecond order accuracyquasi-incompressibleCahn-Hilliard-Darcybound-preserving
Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Stokes and related (Oseen, etc.) flows (76D07) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)
Cites Work
- Title not available (Why is that?)
- A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- A Hele-Shaw-Cahn-Hilliard model for incompressible two-phase flows with different densities
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
- An adaptive level set approach for incompressible two-phase flows
- Conservative multigrid methods for Cahn--Hilliard fluids.
- A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system
- Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- A survey for the Muskat problem and a new estimate
- The scalar auxiliary variable (SAV) approach for gradient flows
- An energy stable algorithm for a quasi-incompressible hydrodynamic phase-field model of viscous fluid mixtures with variable densities and viscosities
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- Arbitrarily high-order linear energy stable schemes for gradient flow models
- A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow
- Second order approximation for a quasi-incompressible Navier-Stokes Cahn-Hilliard system of two-phase flows with variable density
- A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows
- Bound/positivity preserving and unconditionally stable schemes for a class of fourth order nonlinear equations
- Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn-Hilliard equation
- A second-order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system
- An energy stable \(C^0\) finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density
- A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals
- Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model
- Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes
- Improving the accuracy of convexity splitting methods for gradient flow equations
- A decoupled unconditionally stable numerical scheme for the Cahn-Hilliard-Hele-Shaw system
- Homogenization of two-phase fluid flow in porous media via volume averaging
- On linear schemes for a Cahn-Hilliard diffuse interface model
- Two fluid systems in porous media. The encroachment of water into an oil sand.
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- Analysis of a Darcy--Cahn--Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation
- Two-phase flows in karstic geometry
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
- Modeling pinchoff and reconnection in a Hele-Shaw cell. I. The models and their calibration
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- The Global Dynamics of Discrete Semilinear Parabolic Equations
- The interactive dynamics of flow and directional solidification in a Hele-Shaw cell Part 1. Experimental investigation of parallel shear flow
- A diffuse interface model of two-phase flow in porous media
- Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities
- A diffuse interface approach to Hele Shaw flow
- Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
- Positivity-Preserving Numerical Schemes for Lubrication-Type Equations
- Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
- Growth in the Muskat problem
- Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn–Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity
- A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model
- A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving
- The Cahn–Hilliard Equation: Recent Advances and Applications
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains
- Homogenization of two fluid flow in porous media
- Derivation of effective macroscopic Stokes–Cahn–Hilliard equations for periodic immiscible flows in porous media
- A diffuse-interface model for electrowetting drops in a Hele-Shaw cell
- A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation
- High order spatial discretization for variational time implicit schemes: Wasserstein gradient flows and reaction-diffusion systems
- Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential
- A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system
This page was built for publication: A second-order, mass-conservative, unconditionally stable and bound-preserving finite element method for the quasi-incompressible Cahn-Hilliard-Darcy system
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6615735)