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Related Experiment Video

Updated: Jun 17, 2026

Three-Dimensional Acoustic Assembly Device for Mass Manufacturing of Cell Spheroids

Three-Dimensional Acoustic Assembly Device for Mass Manufacturing of Cell Spheroids

Published on: October 13, 2023

Multilevel nonuniform grid algorithm for acceleration of integral equation-based solvers for acoustic scattering.

Yaniv Brick¹, Amir Boag

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.

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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.