Distributed Lagrange multiplier/fictitious domain method in the framework of lattice Boltzmann method for fluid-structure interactions

  • Authors:

  • Xing Shi;Nhan Phan-Thien

  • Affiliations:

  • Division of Bioengineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore;Division of Bioengineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2005

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Abstract

A new implementation of the lattice Boltzmann method (LBM) for fluid-structure interactions is presented. The idea of the distributed-Lagrange-multiplier/fictitious-domain method (DLM/FD) is introduced in the framework of the lattice Boltzmann algorithm. This implementation employs a fixed mesh for the solution of the fluid problem and a Lagrangian formulation for the solid problem. The main advantage of the method is that the re-meshing procedure normally required in the ALE method is circumvented. Numerical examples are provided to verify the algorithm and illustrate the capacity of the method to deal with the fluid/elastic-solid interactions.