238 citations · 251 across the 10 of their papers we have counts for
8 papers · 1 filter
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…
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…