Navier-Stokes equations Darcy's law Iterface conditions Domain decomposition Finite elements method
DISCACCIATI, M., 2013. Coupling free and porous-media flows: models and numerical approximation. IN: Bastian, P. ... et al (eds). Simulation of Flow in Porous Media: Applications in Energy and Environment. Berlin: De Gruyter, pp.107-138
In this paper we provide an overview of mathematical and numerical models for
the coupling of the Navier-Stokes and the Darcy equations to describe the filtration of incompressible
flows through porous media. After introducing suitable interface conditions, we set
up the coupled problem and, using domain decomposition techniques, we present possible algorithms
to compute its finite element approximation through the independent solution of the
Navier-Stokes and of the Darcy equations in their respective subdomains.
Keywords. Navier-Stokes equations, Darcy’s law, interface conditions, domain decomposition,
finite elements method.
This paper is closed access.
The support of the Marie Curie Project PCIG09-GA-2011-294229 “HeViCo – Virtual control methods
for coupling heterogeneous problems” is kindly acknowledged.