Second-Order Decoupled Linear Energy-Law Preserving gPAV Numerical Schemes for Two-Phase Flows in Superposed Free Flow and Porous Media.
J. Sci. Comput., August, 2024
A second-order, mass-conservative, unconditionally stable and bound-preserving finite element method for the quasi-incompressible Cahn-Hilliard-Darcy system.
J. Comput. Phys., 2024
An efficient scheme for approximating long-time dynamics of a class of non-linear models.
CoRR, 2024
Long-time stable SAV-BDF2 numerical schemes for the forced Navier-Stokes equations.
CoRR, 2024
A high-order accurate unconditionally stable bound-preserving numerical scheme for the Cahn-Hilliard-Navier-Stokes equations.
CoRR, 2024
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn-Hilliard Equation.
SIAM J. Numer. Anal., February, 2023
Second Order, Unconditionally Stable, Linear Ensemble Algorithms for the Magnetohydrodynamics Equations.
J. Sci. Comput., 2023
Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities.
J. Comput. Phys., 2022
Dynamical transition and bifurcation of hydromagnetic convection in a rotating fluid layer.
Commun. Nonlinear Sci. Numer. Simul., 2022
Dynamic Transitions and Bifurcations for a Class of Axisymmetric Geophysical Fluid Flow.
SIAM J. Appl. Dyn. Syst., 2021
Second-order decoupled energy-stable schemes for Cahn-Hilliard-Navier-Stokes equations.
J. Comput. Phys., 2021
A decoupled numerical method for two-phase flows of different densities and viscosities in superposed fluid and porous layers.
CoRR, 2021
Stability and dynamical transition of a electrically conducting rotating fluid.
CoRR, 2021
Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system.
CoRR, 2021
Uniquely Solvable and Energy Stable Decoupled Numerical Schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq System.
J. Sci. Comput., 2020
Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields.
Commun. Nonlinear Sci. Numer. Simul., 2020
A second order, linear, unconditionally stable, Crank-Nicolson-Leapfrog scheme for phase field models of two-phase incompressible flows.
Appl. Math. Lett., 2020
A Second Order in Time, Decoupled, Unconditionally Stable Numerical Scheme for the Cahn-Hilliard-Darcy System.
J. Sci. Comput., 2018
Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry.
Numerische Mathematik, 2017
Numerical Analysis of Second Order, Fully Discrete Energy Stable Schemes for Phase Field Models of Two-Phase Incompressible Flows.
J. Sci. Comput., 2017
Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model.
J. Comput. Phys., 2017
A Decoupled Unconditionally Stable Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System.
J. Sci. Comput., 2016
A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation.
J. Comput. Phys., 2015