Unconditionally energy stable schemes for an electrohydrodynamic model of charge transport in dielectric liquids
From MaRDI portal
Publication:2176975
DOI10.1016/j.cma.2019.112817zbMath1442.76148OpenAlexW2999404403WikidataQ126345821 ScholiaQ126345821MaRDI QIDQ2176975
Dongdong He, Mingyang Pan, Ke-jia Pan
Publication date: 6 May 2020
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.2019.112817
Related Items (7)
Energy stable finite element method for an electrohydrodynamic model with variable density ⋮ Decoupled second-order energy stable scheme for an electrohydrodynamic model with variable electrical conductivity ⋮ Stability and temporal error analysis for SAV schemes for electrohydrodynamic model with variable density ⋮ Stable and decoupled schemes for an electrohydrodynamics model ⋮ Decoupled and unconditionally energy stable finite element schemes for electrohydrodynamic model with variable density ⋮ A linear, second-order accurate, positivity-preserving and unconditionally energy stable scheme for the Navier-Stokes-Poisson-Nernst-Planck system ⋮ Positive-definiteness preserving and energy stable time-marching scheme for a diffusive Oldroyd-B electrohydrodynamic model
Cites Work
- Unnamed Item
- A free energy satisfying finite difference method for Poisson-Nernst-Planck equations
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations
- Energetically stable discretizations for charge transport and electrokinetic models
- An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner
- Fast Fourier transforms for direct solution of Poisson's equation with staggered boundary conditions
- Fully conservative higher order finite difference schemes for incompressible flow
- Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Numerical simulation of EHD flows using discontinuous Galerkin finite element methods
- 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 diffuse interface model for two-phase ferrofluid flows
- Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes
- An overview of projection methods for incompressible flows
- Numerical analysis of the subcritical feature of electro-thermo-convection in a plane layer of dielectric liquid
- Simulations of singularity dynamics in liquid crystal flows: a \(C^0\) finite element approach
- The 2D lid-driven cavity problem revisited
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
- Numerical modelling of finite-amplitude electro-thermo-convection in a dielectric liquid layer subjected to both unipolar injection and temperature gradient
- Topics in structure-preserving discretization
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
- Coulomb-driven flow of a dielectric liquid subject to charge injection by a sharp electrode
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Numerical modelling of Coulomb-driven convection in insulating liquids
- A fully divergence-free finite element method for magnetohydrodynamic equations
- Second Order, Linear, and Unconditionally Energy Stable Schemes for a Hydrodynamic Model of Smectic-A Liquid Crystals
- Second Order Fully Discrete Energy Stable Methods on Staggered Grids for Hydrodynamic Phase Field Models of Binary Viscous Fluids
- Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows
- Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
- An unconditionally stable uncoupled scheme for a triphasic Cahn–Hilliard/Navier–Stokes model
- Approximation of Liquid Crystal Flows
- On the limitation of imposed velocity field strategy for Coulomb-driven electroconvection flow simulations
- A Flexible Inner-Outer Preconditioned GMRES Algorithm
- A new linearly extrapolated Crank-Nicolson time-stepping scheme for the Navier-Stokes equations
- Energy stability and convergence of SAV block-centered finite difference method for gradient flows
- Discrete Conservation Properties of Unstructured Mesh Schemes
- A stable and conservative finite difference scheme for the Cahn-Hilliard equation
- Accurate projection methods for the incompressible Navier-Stokes equations
This page was built for publication: Unconditionally energy stable schemes for an electrohydrodynamic model of charge transport in dielectric liquids
