Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies

In this article we discuss the application of a distributed Lagrange multiplier based fictitious domain method to the numerical simulation of incompressible viscous flow modelled by the Navier-Stokes equations around moving bodies, we suppose the rigid bodies motion known a priori. The solution method combines finite element approximations, time discretization by operator splitting and conjugate gradient algorithms for the solution of the linearly constrained quadratic minimization problems coming from the splitting method. Numerical experiment results for two-dimensional how around a moving disk are presented.