238 citations · 251 across the 10 of their papers we have counts for
10 papers
Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations
John Carter, Daozhi Han, Nan Jiang
We propose two unconditionally stable, linear ensemble algorithms with pre-computable shared coefficient matrices across different realizations for the magnetohydrodynamics equatio…
A decoupled numerical method for two-phase flows of different densities and viscosities in superposed fluid and porous layers
Yali Gao, Daozhi Han, Xiaoming He +1
In this article we consider the numerical modeling and simulation via the phase field approach of two-phase flows of different densities and viscosities in superposed fluid and por…
Dynamical transition of hydromagnetic convection in a rotating fluid layer
Liang Li, Yanlong Fan, Daozhi Han +1
In this article, we aim to study the stability and dynamic transition of an electrically conducting fluid in the presence of an external uniform horizontal magnetic field and rotat…
Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system
Wenbin Chen, Daozhi Han, Cheng Wang +3
We analyze a fully discrete finite element numerical scheme for the Cahn-Hilliard-Stokes-Darcy system that models two-phase flows in coupled free flow and porous media. To avoid a…
On the superconvergence of a hydridizable discontinuous Galerkin method for the Cahn-Hilliard equation
Gang Chen, Daozhi Han, John Singler +1
We propose a hydridizable discontinuous Galerkin (HDG) method for solving the Cahn-Hilliard equation. The temporal discretization can be based on either the backward Euler method o…
Interaction of a vortex induced by a rotating cylinder with a plane
Daozhi Han, Yifeng Hou, Roger Temam
In this article,we study theoretically and numerically the interaction of a vortex induced by a rotating cylinder with a perpendicular plane. We show the existence of weak solution…
Uniquely solvable and energy stable decoupled schemes for Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry
Wenbin Chen, Daozhi Han, Xiaoming Wang
We propose and analyze two novel decoupled numerical schemes for solving the Cahn-Hilliard-Stokes-Darcy (CHSD) model for two-phase flows in karstic geometry. In the first numerical…
A decoupled unconditionally stable numerical scheme for the Cahn-Hilliard-Hele-Shaw system
Daozhi Han
We propose a novel decoupled unconditionally stable numerical scheme for the simulation of two-phase flow in a Hele-Shaw cell which is governed by the Cahn-Hilliard-Hele-Shaw syste…
A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
Daozhi Han, Xiaoming Wang
We propose a novel second order in time numerical scheme for Cahn-Hilliard-Navier- Stokes phase field model with matched density. The scheme is based on second order convex-splitti…
Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry
Daozhi Han, Xiaoming Wang, Hao WU
We study the well-posedness of a coupled Cahn-Hilliard-Stokes-Darcy system which is a diffuse-interface model for essentially immiscible two phase incompressible flows with matched…