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Model order reduction for bifurcating phenomena in fluid-structure interaction problems.

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Summary
This summary is machine-generated.

This study develops an efficient reduced order model for the Coandă effect in fluid-structure interactions. Elastic structures, particularly nonlinear hyper-elastic ones, delay bifurcation, offering insights into multi-physics phenomena.

Keywords:
Bifurcation theoryCoandă effectcontinuum mechanicsfluid dynamicsmonolithic methodparametrized fluid‐structure interaction problemproper orthogonal decompositionreduced order modeling

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Area of Science:

  • Multiphysics simulations
  • Computational fluid dynamics
  • Solid mechanics

Background:

  • The Coandă effect, a fluid dynamics phenomenon, is complex in multi-physics settings.
  • Fluid-structure interaction (FSI) problems require accurate modeling of coupled physics.
  • Reduced order models (ROMs) are crucial for managing computational cost in complex simulations.

Purpose of the Study:

  • To develop and analyze an efficient reduced order model for the Coandă effect.
  • To investigate the influence of elastic structures on bifurcating behavior in FSI.
  • To generalize and improve the physical description of the Coandă effect in coupled systems.

Main Methods:

  • Development of a reduced order, branch-wise algorithm.
  • Application of monolithic Proper Orthogonal Decomposition (POD).
  • Comparison of various constitutive relations for solid media (linear elastic and nonlinear hyper-elastic).

Main Results:

  • A nonlinear hyper-elastic solid model delays bifurcation compared to standard models.
  • Linear elastic solids further magnify the bifurcation delay effect.
  • The developed ROM efficiently captures the influence of structural elasticity on the Coandă effect.

Conclusions:

  • Elastic structures significantly alter the bifurcating behavior of the Coandă effect.
  • The choice of constitutive model for the solid is critical in FSI simulations.
  • The reduced order branch-wise algorithm provides an efficient approach for studying complex multi-physics phenomena.