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Multilevel nonuniform grid algorithm for acceleration of integral equation-based solvers for acoustic scattering.
1School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel.
IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|December 31, 2009
Summary
A novel algorithm accelerates acoustic field calculations for boundary element method (BEM) solvers. This method uses field smoothing and hierarchical decomposition for efficient acoustic simulations.
Area of Science:
- Acoustics
- Computational Physics
- Numerical Methods
Background:
- Iterative boundary element method (BEM) solvers require efficient evaluation of acoustic fields.
- Existing methods can be computationally intensive for complex source distributions.
Purpose of the Study:
- To develop a fast algorithm for evaluating acoustic fields generated by source distributions.
- To accelerate iterative BEM solvers for acoustic scattering problems.
Main Methods:
- Developed a field smoothing algorithm using phase and amplitude compensation.
- Employed coarse nonuniform grids (NGs) for sampling radiated fields.
- Utilized a divide-and-conquer strategy with hierarchical domain decomposition.
- Implemented a multilevel aggregation process for neighboring subdomains.
Main Results:
- The nonuniform grid (NG) algorithm significantly reduces computational cost.
- Demonstrated accuracy and efficiency for elongated, quasi-planar, and 3-D scatterers.
- Successfully reduced the computational cost of field evaluation operators in BEM solvers.
Conclusions:
- The developed NG algorithm effectively accelerates iterative BEM solvers.
- This method provides an efficient approach for acoustic field evaluation in scattering problems.
- The algorithm shows promise for various scatterer geometries and dimensions.
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