Decoupled Time Stepping Methods for Fluid-Fluid Interaction

@article{Connors2012DecoupledTS,
  title={Decoupled Time Stepping Methods for Fluid-Fluid Interaction},
  author={Jeffrey M. Connors and Jason S. Howell and William J. Layton},
  journal={SIAM J. Numer. Anal.},
  year={2012},
  volume={50},
  pages={1297-1319}
}
A model of two incompressible Newtonian fluids coupled across a common interface is studied. The nonlinearity of the coupling condition exacerbates the problem of decoupling the fluid calculations in each subdomain, a natural parallelization strategy employed in current climate models. A specialized partitioned time stepping method is studied which decouples the discrete fluid equations without sacrificing stability and maintaining convergence. This is accomplished through explicit updating of… 
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