Browsing by Author "Xu, S"
Now showing items 1-20 of 23
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A Level Set Method for the Simulation of Moving Contact Lines in Three Dimensions
(Communications in Computational Physics, 2022-01-01)We propose an efficient numerical method for the simulation of the two-phase flows with moving contact lines in three dimensions. The mathematical model consists of the incompressible Navier-Stokes equations for the two ... -
A phase field model for compressible immiscible fluids with a new equation of state
(International Journal of Multiphase Flow, 2022-04-01)In this paper, we propose a new compressible phase field model of two different immiscible fluid components, in which the density of each phase is variable. In order to establish the compressible phase field model, a new ... -
A phase field model for mass transport with semi-permeable interfaces
(Journal of Computational Physics, 2022-09-01)In this paper, a thermaldynamical consistent model for mass transfer across permeable moving interfaces is proposed by using the energy variation method. We consider a restricted diffusion problem where the flux across the ... -
An energetic variational approach for ION transport
(Communications in Mathematical Sciences, 2014-03-06)The transport and distribution of charged particles are crucial in the study of many physical and biological problems. In this paper, we employ an Energy Variational Approach to derive the coupled Poisson-Nernst-Planck-N... -
An Energy Stable $C^0$ Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation
(SIAM Journal on Scientific Computing, 2022-01) -
An energy stable C0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density
(Journal of Computational Physics, 2020-03-15)In this paper, we focus on modeling and simulation of two-phase flow problems with moving contact lines and variable density. A thermodynamically consistent phase-field model with general Navier boundary condition is developed ... -
Analysis of main risk factors causing stroke in Shanxi Province based on machine learning models
(Informatics in Medicine Unlocked, 2021-01-01)Background: In China, stroke has been the first leading cause of death in recent years. It is a major cause of long-term physical and cognitive impairment, which bring great pressure on the National Public Health System. ... -
Behavior of different numerical schemes for random genetic drift
(BIT Numerical Mathematics, 2019-09-01)In the problem of random genetic drift, the probability density of one gene is governed by a degenerated convection-dominated diffusion equation. Dirac singularities will always be developed at boundary points as time evolves, ... -
Behavior of Raman modes in InPBi alloys under hydrostatic pressure
(AIP Advances, 2019-03) -
Derivation of a continuum model and the energy law for moving contact lines with insoluble surfactants
(Physics of Fluids, 2014-06-05)A continuous model is derived for the dynamics of two immiscible fluids with moving contact lines and insoluble surfactants based on thermodynamic principles. The continuum model consists of the Navier-Stokes equations for ... -
Diffuse interface model for cell interaction and aggregation with Lennard-Jones type potential
(Computer Methods in Applied Mechanics and Engineering, 2023-10-01)This study introduces a phase-field model designed to simulate the interaction and aggregation of multicellular systems under flow conditions within a bounded spatial domain. The model incorporates a multi-dimensional ... -
Droplet dynamics: A phase-field model of mobile charges, polarization, and its leaky dielectric approximation
(Physics of Fluids, 2023-08-01)<jats:p>This paper presents a Poisson–Nernst–Planck–Navier–Stokes–Cahn–Hillard (PNP–NS–CH) model for an electrically charged droplet suspended in a viscous fluid under an external electric field. Our model incorporates spatial ... -
Homogenization for chemical vapor infiltration process
(Communications in Mathematical Sciences, 2017-01-01)Multi-scale modeling and numerical simulations of the isothermal chemical vapor infiltration (CVI) process for the fabrication of carbon fiber reinforced silicon carbide (C/SiC) composites were presented in [Bai, Yue and ... -
HOMOGENIZATION OF A DISCRETE NETWORK MODEL FOR CHEMICAL VAPOR INFILTRATION PROCESS
(COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021) -
Homogenization of thermal-hydro-mass transfer processes
(Discrete and Continuous Dynamical Systems - Series S, 2015-02-01)In the repository, multi-physics processes are induced due to the long-time heat-emitting from the nuclear waste, which is modeled as a nonlinear system with oscillating coefficients. In this paper we first derive the homogenized ... -
Homogenization theory of ion transportation in multicellular tissue
(Discrete and Continuous Dynamical Systems - B, 2023) -
Homogenization: In mathematics or physics?
(Discrete and Continuous Dynamical Systems - Series S, 2016-10-01)In mathematics, homogenization theory considers the limitations of the sequences of the problems and their solutions when a parameter tends to zero. This parameter is regarded as the ratio of the characteristic size between ... -
Modeling and Simulating Asymmetrical Conductance Changes in Gramicidin Pores
(Computational and Mathematical Biophysics, 2014-01-01)Gramicidin A is a small and well characterized peptide that forms an ion channel in lipid membranes. An important feature of gramicidin A (gA) pore is that its conductance is affected by the electric charges near the its ... -
Numerical method for multi-alleles genetic drift problem
(SIAM Journal on Numerical Analysis, 2019-01-01)Genetic drift describes random fluctuations in the number of genes variants in a population. One of the most popular models is the Wright-Fisher model. The diffusion limit of this model is a degenerate diffusion-convection ... -
Optic nerve microcirculation: Fluid flow and electrodiffusion
(Physics of Fluids, 2021-04-01)Complex fluids flow in complex ways in complex structures. Transport of water and various organic and inorganic molecules in the central nervous system (CNS) are important in a wide range of biological and medical processes ...
