Fictitious Domain Methods for Incompressible Viscous Flow around Moving Rigid Bodies, in The Mathematics of Finite Elements and Applications

R. Glowinski, T.W. Pan, J. Periaux (1997)
Highlight 1996, J.R. Whiteman ed., John Wiley & Sons, Chichester,
England, pp. 155-174.

Abstract:

In this article we discuss the application of a Lagrange multiplier based fictitious domain method to the numerical simulation of incompressible viscous flow modelled by the Navier-Stokes equations around moving bodies. 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. The results of several numerical experiments for two-dimensional flow around a moving disk are presented.  


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