The subdivision-based IGA-EIEQ numerical scheme for the Cahn-Hilliard-Darcy system of two-phase Hele-Shaw flow on complex curved surfaces
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Publication:6194174
DOI10.1016/j.cma.2023.116709OpenAlexW4390381175MaRDI QIDQ6194174
Yunqing Huang, Xiao-Feng Yang, Chong Chen, Qing Pan, Yongjie Jessica Zhang
Publication date: 19 March 2024
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2023.116709
Cites Work
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- 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
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Isogeometric analysis based on extended Loop's subdivision
- Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
- Hele-Shaw flow on hyperbolic surfaces
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
- Isogeometric finite element approximation of minimal surfaces based on extended Loop subdivision
- Unconditionally energy stable numerical schemes for phase-field vesicle membrane model
- Truncated hierarchical Catmull-Clark subdivision with local refinement
- Modeling of coating flows on curved surfaces
- Isogeometric analysis of minimal surfaces on the basis of extended Catmull-Clark subdivision
- Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
- Isogeometric analysis based on extended Catmull-Clark subdivision
- A novel decoupled second-order time marching scheme for the two-phase incompressible Navier-Stokes/Darcy coupled nonlocal Allen-Cahn model
- Numerical approximations of the Navier-Stokes equation coupled with volume-conserved multi-phase-field vesicles system: fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical scheme
- 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
- Fast, provably unconditionally energy stable, and second-order accurate algorithms for the anisotropic Cahn-Hilliard model
- 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
- Isogeometric analysis for surface PDEs with extended Loop subdivision
- A novel decoupled and stable scheme for an anisotropic phase-field dendritic crystal growth model
- Isogeometric analysis of the Cahn-Hilliard phase-field model
- Subdivision-based isogeometric analysis for second order partial differential equations on surfaces
- A novel hybrid IGA-EIEQ numerical method for the Allen-Cahn/Cahn-Hilliard equations on complex curved surfaces
- The subdivision-based IGA-EIEQ numerical scheme for the binary surfactant Cahn-Hilliard phase-field model on complex curved surfaces
- Numerical approximations for a new \(L^2\)-gradient flow based phase field crystal model with precise nonlocal mass conservation
- Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system
- Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation
- 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
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
- Thermodynamically consistent time-stepping algorithms for non-linear thermomechanical systems
- Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
- Low viscosity contrast fingering in a rotating Hele-Shaw cell
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Numerical Analysis of a Continuum Model of Phase Transition
- Geometric approach to viscous fingering on a cone
- Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach
- A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis
- Projection Method I: Convergence and Numerical Boundary Layers
- On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
- An unconditionally stable uncoupled scheme for a triphasic Cahn–Hilliard/Navier–Stokes model
- On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model
- The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems
- 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
- Error estimate of a decoupled numerical scheme for the Cahn–Hilliard–Stokes–Darcy system
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
- Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
- Hele-Shaw flow on weakly hyperbolic surfaces
- Viscous fingering as a paradigm of interfacial pattern formation: Recent results and new challenges
- Subdivision based isogeometric analysis for geometric flows
- On a novel fully-decoupled, linear and second-order accurate numerical scheme for the Cahn-Hilliard-Darcy system of two-phase Hele-Shaw flow
