Numerical Simulation of the Sedimentation of Rigid Bodies in an Incompressible Viscous Fluid by Lagrange Multiplier/Fictitious Domain Methods Combined with the Taylor-Hood Finite Element Approximation

@article{Jurez2002NumericalSO,
  title={Numerical Simulation of the Sedimentation of Rigid Bodies in an Incompressible Viscous Fluid by Lagrange Multiplier/Fictitious Domain Methods Combined with the Taylor-Hood Finite Element Approximation},
  author={Lorenzo H{\'e}ctor Ju{\'a}rez and Roland Glowinski and Tsorng-Whay Pan},
  journal={J. Sci. Comput.},
  year={2002},
  volume={17},
  pages={683-694}
}
In this work we discuss an application of a distributed Lagrange multiplier based fictitious domain method, to the numerical simulation of the motion of rigid bodies settling in an incompressible viscous fluid. The solution method combines a third order finite element approximation, and time integration by operator splitting. Convergence results are shown… CONTINUE READING