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Updated: May 22, 2026

Studying Cavitation Enhanced Therapy
Published on: April 9, 2021
Numerical analysis of eigenproblem for cavities by a particular integral method with a low frequency approximation of
Alexandre Leblanc1, Antoine Lavie
1UArtois, LGCgE, F-62400 Béthune, France. alexandre.leblanc@univ-artois.fr
Abstract:
In this paper, a three-dimensional boundary element method for the eigenanalysis of complex-shaped cavity is presented. A particular integral method is proposed with general absorbing boundary conditions, well suited for determination of the lower modes. In this approach, a polynomial approximation of surface admittance is used with a recent class of compactly supported radial basis function. Two common absorbent models are employed in order to demonstrate the relevance of high-order approximation of the admittance. Resulting eigenproblems of several orders (linear to cubic) are thus performed on basic geometries and a car interior. Results show significant improvements for the computed damped eigenfrequencies and the associated modal reverberation time while using an approximation polynomial matching the surface admittance variation order.
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