Fast evaluation of transient acoustic fields

Area of Science:

• Acoustics
• Computational Physics

Background:

• Calculating transient acoustic fields from non-harmonic sources is computationally challenging.
• Existing methods may lack efficiency or ease of implementation for arbitrary sources.

Purpose of the Study:

• To present an efficient and easily implemented method for generating time-dependent spherical harmonic expansions.
• To compute the transient acoustic fields radiated by arbitrary sources outside the source domain.

Main Methods:

• Utilizing the theory of time-domain spherical harmonic expansions.
• Solving Vandermonde systems for efficient computation.
• Applying the method to arbitrary source distributions.

Main Results:

• Demonstrated efficiency and accuracy of the proposed method.
• Successful computation of transient radiated fields for randomized source distributions.
• Validation against full field evaluation.

Conclusions:

• The developed method provides an efficient and accurate approach for transient acoustic field computation.
• This technique is applicable to a wide range of non-harmonic source distributions in acoustics.
• The method offers a practical solution for complex acoustic radiation problems.