Numerical Simulation Of Channel Flows Using The Immersed Boundary Method.

Abstract

The Immersed Boundary Method is used to model the walls bounding flows in
straight channels. In this method a force source term is added to the Navier-Stokes equations,
in order to guarantee the non-slipping boundary conditions at the channel walls. The
Physical Virtual Model (PVM) is used to calculate the force field, which is a methodology
that has been developed by the LTCM – FEMEC research group. This methodology employs
the Navier-Stokes equations to compute the interfacial force presented in the flow. Results are
presented for two types of flows: Poiseuille and Couette-Poiseuille. The results (velocity and
friction coefficient) are compared with analytical results.