DISTRIBUTED LAGRANGE MULTIPLIER METHODS FOR INCOMPRESSIBLE VISCOUS-FLOW AROUND MOVING RIGID BODIES

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