Efficient finite element schemes for a phase field model of two-phase incompressible flows with different densities
DOI10.1016/J.JCP.2024.113331MaRDI QIDQ6615724
C. Wang, Jiancheng Wang, Maojun Li
Publication date: 8 October 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
variable densityenergy stabilityphase fieldtwo-phase incompressible flowsmultiple scalar auxiliary variables (MSAV)
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Incompressible viscous fluids (76Dxx)
Cites Work
- Two-phase flow with mass density contrast: stable schemes for a thermodynamic consistent and frame-indifferent diffuse-interface model
- Direct simulation of multi-phase MHD flows on an unstructured Cartesian adaptive system
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system
- Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models
- Gauge-Uzawa methods for incompressible flows with variable density
- A splitting method for incompressible flows with variable density based on a pressure Poisson equation
- Volume of fluid (VOF) method for the dynamics of free boundaries
- A level set approach for computing solutions to incompressible two-phase flow
- Multiphase flows of \(N\) immiscible incompressible fluids: a reduction-consistent and thermodynamically-consistent formulation and associated algorithm
- Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
- Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density
- The scalar auxiliary variable (SAV) approach for gradient flows
- A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen-Cahn type flow-coupled binary surfactant model
- An embedded variable step IMEX scheme for the incompressible Navier-Stokes equations
- A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation
- A thermodynamically consistent model for two-phase incompressible flows with different densities. Derivation and efficient energy-stable numerical schemes
- Highly efficient and unconditionally energy stable semi-discrete time-marching numerical scheme for the two-phase incompressible flow phase-field system with variable-density and viscosity
- Filtered time-stepping method for incompressible Navier-Stokes equations with variable density
- A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations
- A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow
- Simulating two-phase flows with thermodynamically consistent energy stable Cahn-Hilliard Navier-Stokes equations on parallel adaptive octree based meshes
- Weakly compressible Navier-Stokes solver based on evolving pressure projection method for two-phase flow simulations
- Gas-liquid two-phase flows simulation based on weakly compressible scheme with interface-adapted AMR method
- Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities
- A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD
- Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation
- Bound/positivity preserving and unconditionally stable schemes for a class of fourth order nonlinear equations
- An energy diminishing arbitrary Lagrangian-Eulerian finite element method for two-phase Navier-Stokes flow
- A positivity preserving, energy stable finite difference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system
- A filtered cumulant lattice Boltzmann method for violent two-phase flows
- 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
- A stabilized phase-field method for two-phase flow at high Reynolds number and large density/viscosity ratio
- A linear second-order in time unconditionally energy stable finite element scheme for a Cahn-Hilliard phase-field model for two-phase incompressible flow of variable densities
- Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential
- A conservative, second order, unconditionally stable artificial compression method
- A stable parametric finite element discretization of two-phase Navier-Stokes flow
- Numerical analysis of second order, fully discrete energy stable schemes for phase field models of two-phase incompressible flows
- An overview of projection methods for incompressible flows
- Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density
- A generalized SAV approach with relaxation for dissipative systems
- A projection-based, semi-implicit time-stepping approach for the Cahn-Hilliard Navier-Stokes equations on adaptive octree meshes
- An energy-stable smoothed particle hydrodynamics discretization of the Navier-Stokes-Cahn-Hilliard model for incompressible two-phase flows
- On micro-macro-models for two-phase flow with dilute polymeric solutions -- modeling and analysis
- Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation
- Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
- Numerical Methods for Two-phase Incompressible Flows
- Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density
- Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
- Quantitative benchmark computations of two-dimensional bubble dynamics
- Motion of two superposed viscous fluids
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model
- Diffuse-interface two-phase flow models with different densities: A new quasi-incompressible form and a linear energy-stable method
- Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
- On Modeling and Simulation of Electrokinetic Phenomena in Two-Phase Flow with General Mass Densities
- Finite Elements II
- Finite Elements III
- 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
- On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows
- Error estimate of a decoupled numerical scheme for the Cahn–Hilliard–Stokes–Darcy system
- A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows
- A diffuse domain method for two-phase flows with large density ratio in complex geometries
- Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation
- A ternary Cahn–Hilliard–Navier–Stokes model for two-phase flow with precipitation and dissolution
- On Convergent Schemes for Diffuse Interface Models for Two-Phase Flow of Incompressible Fluids with General Mass Densities
- The sharp-interface limit of the Cahn–Hilliard/Navier–Stokes model for binary fluids
- A quasi-incompressible diffuse interface model with phase transition
- A projection FEM for variable-density incompressible flows
- Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn–Hilliard–Navier–Stokes System
- A structure-preserving, upwind-SAV scheme for the degenerate Cahn-Hilliard equation with applications to simulating surface diffusion
- A unified framework for Navier–Stokes Cahn–Hilliard models with non-matching densities
- Convergence analysis of a second order numerical scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system
- A second order numerical scheme of the Cahn-Hilliard-Navier-Stokes system with Flory-Huggins potential
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