Fluid flow dynamics in fracture-caved carbonate reservoirs are usually simulated using the
traditional continuum flow theory. With the presence of large karst caves, fluid flow in these …

We consider the problem of iteratively solving large and sparse double saddle-point systems
arising from the stationary Stokes–Darcy equations in two dimensions, discretized by the …

Stokes incompressible viscous fluid flow through a permeable spheroidal particle which is a
bit deformed from the shape of a sphere is studied and solved analytically. It consists of two …

This work is dedicated to the pressure-correction projection method for the volume-averaged
Navier–Stokes system for porous media. A set of parameters controlling the presence of …

This study investigates the use of a nonlinear model based on the penalisation approach to
couple fluid flow and porous media flow. The problem is formulated using a unified …

The perspective of the current analysis is to represent the incompressible viscous flow past a
low permeable spheroid contained in a fictitious spheroidal cell. Stokes approximation and …

This paper considers the robust numerical methods for solving the time-dependent Stokes-
Darcy multiphysics problem that can be implemented by use of existing surface water and …

The current research is focused on the creeping motion of fluid past a permeable spheroidal
particle that has an impermeable core under the magnetic forces. Motion in the permeable …

The surface fluid flows coupled with porous media flows have many applications in science
and engineering. The mathematical models are the coupled partial differential equations …