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When two miscible fluids, such as glycerol (glycerin) and water,
are brought in contact, they immediately diffuse in each other.
However if the diffusion is sufficiently slow, large concentration gradients exist
during some time. They can lead to the appearance of an
“effective interfacial tension”. To study these phenomena we
use the mathematical model
consisting of the diffusion equation with convective terms and of
the Navier-Stokes equations with the Korteweg stress.
We prove the global...
In a recent paper [4] we have proposed and analysed a suitable mathematical model which describes the coupling of the Navier-Stokes with the Oseen equations. In this paper we propose a numerical solution of the coupled problem by subdomain splitting. After a preliminary analysis, we prove a convergence result for an iterative algorithm that alternates the solution of the Navier-Stokes problem to the one of the Oseen problem.
In a recent paper [4] we have proposed and analysed
a suitable mathematical model
which describes the coupling of the Navier-Stokes with the
Oseen equations.
In this paper we propose a numerical solution of the coupled
problem by subdomain splitting.
After a preliminary analysis, we prove a convergence result for
an iterative algorithm that alternates the solution of the Navier-Stokes
problem to the one of the Oseen problem.
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