ECCOMAS 2024

Immersed Boundary Method for Fluid-Structure Interaction in Compressible Flows with the Lattice-Boltzmann Method

  • Lerogeron, Hippolyte (CEA, M2P2)
  • Favier, Julien (M2P2)
  • Boivin, Pierre (M2P2)
  • Faucher, Vincent (CEA)

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The present study explores innovative approaches for simulating fluid-structure interaction (FSI) in compressible flows that may lead to solid rupture and fragmentation. The objective is to combine efficient computing methods through a partitioned approach involving the Lattice Boltzmann Method (LBM) for fluid dynamics and non-linear explicit dynamics for the structure. The Lattice Boltzmann Method (LBM), among other recent advancements in fluid mechanics, offers powerful characteristics for high-performance computations. In particular, LBM operations are inherently local and explicit, which is an advantage for parallelized computations. LBM is low dissipative by nature, and it is also easy to implement through automated cartesian mesh generation, making it well-suited to address FSI scenarios with rapid transient phenomena even for cases involving complex geometries. To simulate the interactions between fluid and structure, recent efforts have been focused on the direct-forcing Immersed Boundary Method (IBM). This method is expected to suit well with the cartesian mesh used in the LBM framework, maintaining computation performance while ensuring a high level of FS coupling. However, a challenge arises in the context of compressible flows, as density variations and energy equations should be considered. Notably, addressing the question of thermal boundary conditions on the structure (imposed temperature, heat flux, …) is essential to identify the most efficient and accurate approach. The numerical method is presented and validated across different cases, including bow shock simulation of a cylinder at Mach 2.0, shock-cylinder interaction, and dynamic response of blast-load steel plates in sod shock tube.