Constraint-preserved numerical schemes with decoupling structure for the Ericksen-Leslie model with variable density
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Publication:6591771
DOI10.1016/j.cnsns.2024.108117zbMATH Open1543.65165MaRDI QIDQ6591771
Hongen Jia, Jianwen Zhang, Xin Zhang, Danxia Wang
Publication date: 22 August 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Liquid crystals (76A15) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Finite element approximation of nematic liquid crystal flows using a saddle-point structure
- Hydrostatic theory of liquid crystals
- Liquid crystal flows in two dimensions
- Partial regularity of the dynamic system modeling the flow of liquid crystals
- The scalar auxiliary variable (SAV) approach for gradient flows
- Optimal error estimates of semi-implicit Galerkin method for time-dependent nematic liquid crystal flows
- Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations
- Efficient decoupled second-order numerical scheme for the flow-coupled Cahn-Hilliard phase-field model of two-phase flows
- Efficient linear, fully-decoupled and energy stable numerical scheme for a variable density and viscosity, volume-conserved, hydrodynamically coupled phase-field elastic bending energy model of lipid vesicles
- A second-order BDF scheme for the Swift-Hohenberg gradient flows with quadratic-cubic nonlinearity and vacancy potential
- A novel second-order time accurate fully discrete finite element scheme with decoupling structure for the hydrodynamically-coupled phase field crystal model
- Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable
- Error analysis of the SAV Fourier-spectral method for the Cahn-Hilliard-Hele-Shaw system
- An efficient stabilized multiple auxiliary variables method for the Cahn-Hilliard-Darcy two-phase flow system
- 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
- Global strong solution to the 2D density-dependent liquid crystal flows with vacuum
- An overview on numerical analyses of nematic liquid crystal flows
- On linear schemes for a Cahn-Hilliard diffuse interface model
- An energy law preserving \(C^0\) finite element scheme for simulating the kinematic effects in liquid crystal dynamics
- Some constitutive equations for liquid crystals
- Global existence and exponential decay of strong solutions to the 2D density-dependent nematic liquid crystal flows with vacuum
- Efficient fully decoupled and second-order time-accurate scheme for the Navier-Stokes coupled Cahn-Hilliard Ohta-Kawaski phase-field model of diblock copolymer melt
- Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems
- Energy stable numerical schemes for a hydrodynamic model of nematic liquid crystals
- Recent developments of analysis for hydrodynamic flow of nematic liquid crystals
- Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density
- Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model
- Global strong solutions of the 2D simplified Ericksen–Leslie system
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Sufficient conditions for regularity and uniqueness of a 3D nematic liquid crystal model
- Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Constraint-Preserving Energy-Stable Scheme for the 2D Simplified Ericksen-Leslie System
- On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model
- 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
- Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs
- On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows
- The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
- Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations
- A Time-Splitting Finite-Element Stable Approximation for the Ericksen--Leslie Equations
- A representation formula of incompressible liquid crystal flow and its applications
- Relaxation Exponential Rosenbrock-Type Methods for Oscillatory Hamiltonian Systems
- Error analysis of a unconditionally stable BDF2 finite element scheme for the incompressible flows with variable density
- Error estimates of a sphere-constraint-preserving numerical scheme for Ericksen-Leslie system with variable density
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