An energy stable algorithm for a quasi-incompressible hydrodynamic phase-field model of viscous fluid mixtures with variable densities and viscosities
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Publication:1739123
DOI10.1016/j.cpc.2017.05.002zbMath1411.76118OpenAlexW2735843500MaRDI QIDQ1739123
Yuezheng Gong, Jia Zhao, Qi Wang
Publication date: 25 April 2019
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2017.05.002
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Cites Work
- A 3D numerical study of antimicrobial persistence in heterogeneous multi-species biofilms
- Modeling antimicrobial tolerance and treatment of heterogeneous biofilms
- A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law
- Diffuse interface models of locally inextensible vesicles in a viscous fluid
- Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- Curvature driven flow of bi-layer interfaces
- Multiphase image segmentation using a phase-field model
- A phase-field description of dynamic brittle fracture
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Sharp interface tracking using the phase-field equation
- Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches
- Unconditionally stable schemes for equations of thin film epitaxy
- Error analysis of stabilized semi-implicit method of Allen-Cahn equation
- Removing the stiffness from interfacial flows with surface tension
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- Modeling melt convection in phase-field simulations of solidification
- 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
- Numerical approximations to a new phase field model for two phase flows of complex fluids
- A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids
- Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models
- Fully discretized energy stable schemes for hydrodynamic equations governing two-phase viscous fluid flows
- Three-dimensional numerical simulations of biofilm dynamics with quorum sensing in a flow cell
- Energy Stable Numerical Schemes for a Hydrodynamic Model of Nematic Liquid Crystals
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
- A phase field formulation of the Willmore problem
- A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
- Inpainting of Binary Images Using the Cahn–Hilliard Equation
- A new phase-field model for strongly anisotropic systems
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- Reciprocal Relations in Irreversible Processes. I.
- Reciprocal Relations in Irreversible Processes. II.
- An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System
- Positivity-Preserving Numerical Schemes for Lubrication-Type Equations
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
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