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Non-negative intensity for coupled fluid-structure interaction problems using the fast multipole method.

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This summary is machine-generated.

The non-negative intensity (NNI) method, using the fast multipole boundary element method (FMBEM), successfully quantifies radiated sound power in large-scale fluid-structure interaction (FSI) problems. This approach overcomes near-field cancellation issues, enabling accurate acoustic analysis for complex submerged structures.

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Area of Science:

  • Acoustics
  • Computational Mechanics
  • Fluid-Structure Interaction (FSI)

Background:

  • The non-negative intensity (NNI) method traditionally uses the boundary element method (BEM) but is limited to smaller problems due to computational costs.
  • Near-field cancellation effects in sound intensity fields complicate acoustic analysis.
  • Large-scale FSI problems require efficient numerical methods for accurate radiated sound power assessment.

Purpose of the Study:

  • To adapt and implement the NNI method for large-scale FSI problems using the fast multipole boundary element method (FMBEM).
  • To overcome the limitations of previous BEM implementations of NNI for computationally intensive simulations.
  • To accurately calculate radiated sound power by avoiding near-field cancellation effects.

Main Methods:

  • The fast multipole boundary element method (FMBEM) was adapted for the NNI by employing a two-stage solution method to compute the eigenvalue solution of the acoustic impedance matrix.
  • A finite element-FMBEM model was used to solve the coupled FSI problem for a submerged cylindrical shell.
  • The NNI was subsequently calculated using the FMBEM with the surface fields obtained from the FSI analysis.

Main Results:

  • The FMBEM implementation of the NNI was successfully demonstrated on a large-scale model of a submerged cylindrical shell.
  • An equivalent reactive NNI field, representing evanescent near-field radiation, was demonstrated.
  • The influence of the number of eigenvectors on the NNI field was investigated, providing insights into parameter sensitivity.

Conclusions:

  • The FMBEM is an effective method for implementing the NNI in large-scale FSI problems, overcoming previous computational limitations.
  • This adapted NNI method accurately quantifies radiated sound power, even in the presence of complex near-field phenomena.
  • The study provides a robust framework for acoustic analysis of submerged structures using advanced computational techniques.