@Article{CiCP-25-586,
author = {Shixin Xu, Mark Alber and Zhiliang Xu},
title = {Three-Phase Model of Visco-Elastic Incompressible Fluid Flow and Its Computational Implementation},
journal = {Communications in Computational Physics},
year = {2018},
volume = {25},
number = {2},
pages = {586--624},
abstract = {<p style="text-align: justify;">Energetic Variational Approach is used to derive a novel thermodynamically
consistent three-phase model of a mixture of Newtonian and visco-elastic fluids.
The model which automatically satisfies the energy dissipation law and is Galilean
invariant, consists of coupled Navier-Stokes and Cahn-Hilliard equations. Modified
General Navier Boundary Condition with fluid elasticity taken into account is also introduced
for using the model to study moving contact line problems. Energy stable
numerical scheme is developed to solve system of model equations efficiently. Convergence
of the numerical scheme is verified by simulating a droplet sliding on an
inclined plane under gravity. The model can be applied for studying various biological
or biophysical problems. Predictive abilities of the model are demonstrated by
simulating deformation of venous blood clots with different visco-elastic properties
and experimentally observed internal structures under different biologically relevant
shear blood flow conditions.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0167},
url = {http://global-sci.org/intro/article_detail/cicp/12764.html}
}