Coupled finite element/boundary element formulation for scattering from axially-symmetric objects in three...

Area of Science:

• Computational physics
• Acoustics
• Numerical methods

Background:

• Solving scattering from elastic structures requires advanced computational techniques.
• Traditional methods often involve high computational costs.
• Fluid-structure interaction (FSI) offers a promising approach.

Purpose of the Study:

• To develop and validate an efficient FSI method for scattering from elastic structures.
• To reduce computational complexity by specializing the FSI technique.
• To enable accurate simulation of fluid-structure interactions in various environments.

Main Methods:

• Combines finite element method (FEM) for structural dynamics and boundary element method (BEM) for acoustic fields.
• Imposes continuity of pressure and normal particle velocity at the structure's surface.
• Specializes the FSI method for axially-symmetric objects using circumferential Fourier expansion for reduced computation.

Main Results:

• The method significantly reduces the number of unknowns and computational cost.
• Specialization to axially-symmetric objects yields further substantial computational savings.
• Validated against established benchmark solutions, confirming accuracy and efficiency.

Conclusions:

• The specialized FSI method provides an efficient and accurate solution for scattering problems.
• The condensation of the FEM model simplifies the problem to a BEM-only solution.
• This approach offers a cost-effective alternative for simulating fluid-structure interactions.