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This study introduces a novel numerical method for simulating fluid-structure interaction (FSI) problems. The reference map technique (RMT) simplifies complex simulations by using a single grid for fluids and solids.

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Area of Science:

  • Computational physics
  • Fluid dynamics
  • Solid mechanics

Background:

  • Simulating fluid-structure interaction (FSI) is computationally intensive.
  • Traditional methods require complex mesh generation for fluid and solid domains.
  • Coupling fluid and solid dynamics often presents significant challenges.

Purpose of the Study:

  • To develop and validate a novel, fully Eulerian numerical method for three-dimensional FSI simulations.
  • To leverage the reference map technique (RMT) for simplified FSI modeling.
  • To enable efficient simulation of large-deformation elastic solids interacting with fluids.

Main Methods:

  • Implementation of a three-dimensional reference map technique (RMT) for FSI.
  • Utilizing a fully Eulerian approach on a single fixed computational grid.
  • Parallelization using a distributed memory paradigm for enhanced performance.
  • Development of an efficient parallel field extrapolation scheme.

Main Results:

  • Demonstrated suitability for simulating complex FSI scenarios, including many-body and active systems.
  • Accurate and convergent simulations of incompressible FSI with neo-Hookean solids.
  • Successful application to diverse examples: settling ellipsoids, sphere in a cavity, and active swimmers.

Conclusions:

  • The developed RMT-based method offers a simplified and efficient approach to 3D FSI.
  • The parallel implementation is suitable for investigating complex fluid-solid dynamics.
  • This technique facilitates the study of active and multi-body systems with large deformations.