[HTML][HTML] Multi-component electro-hydro-thermodynamic model with phase-field method. I. Dielectric
We derive a multi-component electro-hydro-thermodynamic (EHTD) model for both leaky
and perfect dielectric materials via the principle of energy dissipation. Differing from previous …
and perfect dielectric materials via the principle of energy dissipation. Differing from previous …
Numerical approximations of flow coupled binary phase field crystal system: Fully discrete finite element scheme with second-order temporal accuracy and decoupling …
In this article, we first establish a new flow-coupled binary phase-field crystal model and
prove its energy law. Then by using some newly introduced variables, we reformulate this …
prove its energy law. Then by using some newly introduced variables, we reformulate this …
Reformulated weak formulation and efficient fully discrete finite element method for a two-phase ferrohydrodynamics Shliomis model
The two-phase ferrohydrodynamics model consisting of Cahn–Hilliard equations, Navier–
Stokes equations, magnetization equations, and magnetostatic equations is a highly …
Stokes equations, magnetization equations, and magnetostatic equations is a highly …
[HTML][HTML] Dynamic behaviour of a suspended bubble and its influence on the distribution of electric fields in insulating oil of an on-load tap-changer within power …
C Liu, T Zhao, Y Sun, X Wang, S Cao - … Journal of Electrical Power & Energy …, 2023 - Elsevier
A small amount of gas bubbles generated in an on-load tap changer (OLTC) can cause
partial discharges in the intense electric field region, which severely threaten the safe …
partial discharges in the intense electric field region, which severely threaten the safe …
A fully decoupled numerical method for Cahn–Hilliard–Navier–Stokes–Darcy equations based on auxiliary variable approaches
A fully decoupled, linearized, and unconditionally stable finite element method is developed
to solve the Cahn–Hilliard–Navier–Stokes–Darcy model in the coupled free fluid region and …
to solve the Cahn–Hilliard–Navier–Stokes–Darcy model in the coupled free fluid region and …
New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System
Y Liu, Y Boubendir, X He, Y He - SIAM Journal on Scientific Computing, 2022 - SIAM
In this paper, we are interested in the design of optimized Schwarz domain decomposition
algorithms to accelerate the Krylov type solution for the Stokes--Darcy system. We use …
algorithms to accelerate the Krylov type solution for the Stokes--Darcy system. We use …
Fully decoupled energy-stable numerical schemes for two-phase coupled porous media and free flow with different densities and viscosities
In this article, we consider a phase field model with different densities and viscosities for the
coupled two-phase porous media flow and two-phase free flow, as well as the …
coupled two-phase porous media flow and two-phase free flow, as well as the …
Modeling and a Domain Decomposition Method with Finite Element Discretization for Coupled Dual-Porosity Flow and Navier–Stokes Flow
J Hou, D Hu, X Li, X He - Journal of Scientific Computing, 2023 - Springer
In this paper, we first propose and analyze a steady state Dual-Porosity-Navier–Stokes
model, which describes both Dual-Porosity flow and free flow (governed by Navier–Stokes …
model, which describes both Dual-Porosity flow and free flow (governed by Navier–Stokes …
Variational Data Assimilation and its Decoupled Iterative Numerical Algorithms for Stokes–Darcy Model
In this paper we develop and analyze a variational data assimilation method with efficient
decoupled iterative numerical algorithms for the Stokes–Darcy equations with the Beavers …
decoupled iterative numerical algorithms for the Stokes–Darcy equations with the Beavers …
Efficient finite element schemes for a phase field model of two-phase incompressible flows with different densities
In this paper, we present two multiple scalar auxiliary variable (MSAV)-based, finite element
numerical schemes for the Abels-Garcke-Grün (AGG) model, which is a thermodynamically …
numerical schemes for the Abels-Garcke-Grün (AGG) model, which is a thermodynamically …