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Modeling of transient ultrasonic wave propagation using the distributed point
Ehsan Kabiri Rahani1, Tribikram Kundu
1Department of Civil Engineering and Engineering Mechanics, University of Arizona, Tucson, AZ, USA. ekabiri@email.arizona.edu
Summary
A new time-domain distributed point source method (t-DPSM) models transient ultrasonic waves from finite-sized transducers. This method accurately simulates wave scattering by moving air bubbles, offering insights into acoustic phenomena.
Area of Science:
- Acoustics
- Fluid Dynamics
- Wave Propagation
Background:
- The distributed point source method (DPSM) is a semi-analytical technique for acoustic problems.
- Conventional DPSM operates in the steady-state frequency domain.
- Modeling transient ultrasonic waves requires time-domain analysis.
Purpose of the Study:
- To extend the distributed point source method (DPSM) to the time domain for transient ultrasonic wave analysis.
- To develop a modified DPSM, denoted t-DPSM, capable of handling transient loading from finite-sized acoustic transducers.
- To validate the t-DPSM by comparing its results with finite element (FE) analysis.
Main Methods:
- The distributed point source method (DPSM) was modified to incorporate transient loading.
- The extended method, termed t-DPSM, operates in the time domain using time-domain Green's functions.
- Time-dependent point sources replaced harmonic point sources in the conventional DPSM.
Main Results:
- The t-DPSM successfully modeled transient ultrasonic waves generated by flat circular and point-focused transducers.
- t-DPSM results showed good agreement with finite element (FE) analysis for both transducer types.
- The method was applied to simulate transient wave scattering by a moving air bubble, analyzing received energy signals for varying eccentricities.
Conclusions:
- The developed t-DPSM is a viable and accurate method for analyzing transient ultrasonic wave propagation and scattering.
- This time-domain extension of DPSM offers an alternative to frequency-domain analysis without requiring Fast Fourier Transform (FFT).
- The study demonstrates the utility of t-DPSM in complex scenarios, such as wave interaction with moving objects in a fluid medium.
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