A study on using an immersed boundary technique for modeling 3D incompressible fluids with internal fluid-body interface

Resumo

This work investigates the outcomes of using an immersed boundary technique for the mixed finite
element formulation of tridimensional incompressible fluid flows governed by the Navier-Stokes equations with

internal fluid-body interfaces. A classical Eulerian approach is followed to describe the fluid. A Newton-
Raphson scheme is devised to solve the resulting non-linear equations within a time step. The fluid-body

interface is treated by the Nitsche’s method, which is an immersed boundary technique whereby the fluid
boundary conditions over the contact with the bodies are imposed weakly. In order to ascertain the accuracy and
efficiency of the adopted method, numerical simulations of tridimensional flows of an incompressible fluid are
analyzed and compared against reference solutions. This work refers to an intermediate stage of a PhD research
that aims to model problems of fluid-particle interaction (FPI) and particle-laden fluids.