A distributed Lagrange multiplier/fictitious domain method for particulate flows

@article{Glowinski1999ADL,
  title={A distributed Lagrange multiplier/fictitious domain method for particulate flows},
  author={Roland Glowinski and Tsorng-Whay Pan and Todd I. Hesla and DanielD. Joseph},
  journal={International Journal of Multiphase Flow},
  year={1999},
  volume={25},
  pages={755-794}
}
Abstract A new Lagrange-multiplier based fictitious-domain method is presented for the direct numerical simulation of viscous incompressible flow with suspended solid particles. The method uses a finite-element discretization in space and an operator-splitting technique for discretization in time. The linearly constrained quadratic minimization problems which arise from this splitting are solved using conjugate-gradient algorithms. A key feature of the method is that the fluid–particle motion… 
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TLDR
An improved fictitious domain–based computational method for a solid-fluid system is developed and a collision strategy for multiple particles is presented and a direct-forcing domain method is applied for simulation of multi-particle fluid flows.
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