6 papers
A quasi-incompressible Cahn-Hilliard-Darcy model for two immiscible fluids in porous media
Daozhi Han, Sayantan Sarkar
We derive a quasi-incompressible Cahn-Hilliard-Darcy phase-field model (qCHD) with the logarithmic Flory-Huggins free energy density function for two-phase flows in porous media. T…
A superconvergent hybridizable discontinuous Galerkin method for the convective Cahn--Hilliard equation
Gang Chen, Daozhi Han, Jiaxuan Liu +2
We propose a hybridizable discontinuous Galerkin (HDG) method combined with convex-concave splitting for the temporal discretization of the convective Cahn-Hilliard equation. The c…
A highly efficient second-order long-time-dynamics-preserving scheme for geophysical fluid models
Daozhi Han, Xiaoming Wang
We develop and analyze a highly efficient, second-order time-marching scheme for infinite-dimensional nonlinear geophysical fluid models, designed to accurately approximate invaria…
An efficient scheme for approximating long-time dynamics of a class of non-linear models
Jack Coleman, Daozhi Han, Xiaoming Wang
We propose a novel, highly efficient, mean-reverting-SAV-BDF2-based, long-time unconditionally stable numerical scheme for a class of finite-dimensional nonlinear models important…
Long-time stable SAV-BDF2 numerical schemes for the forced Navier-Stokes equations
Daozhi Han, Xiaoming Wang
We propose a novel second-order accurate, long-time unconditionally stable time-marching scheme for the forced Navier-Stokes equations. A new Forced Scalar Auxiliary Variable appro…
A high-order accurate unconditionally stable bound-preserving numerical scheme for the Cahn-Hilliard-Navier-Stokes equations
Yali Gao, Daozhi Han, Sayantan Sarkar
A high-order numerical method is developed for solving the Cahn-Hilliard-Navier-Stokes equations with the Flory-Huggins potential. The scheme is based on the finite element w…