Computation of radiation impedances using the finite element method

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Dr. Rucz Péter
Department of Networked Systems and Services

Determining the acoustic properties of air columns is a key task in many applications. Whether it's a wind instrument or a ventilation system. To determine these properties, the task is to solve the acoustic wave equation or the double differential equation describing the flow of materials. This is a huge challenge and almost impossible task to do analytically.

The solution can be made easier by approaching methods (eg finite element method) and is therefore used in many places. From the sound engineering simulations, through design of buildings, it has many applications.

In my thesis, I got to know the finite element method, calculated and simulated the pressure and the radiation impedance of various horns by this method. In addition, I placed two horns next to each other to examine their mutual effect, to calculate the mutual impedance between them. I am discussing the theoretical background of the method, my algorithm step by step and my results.

My results show how the excited resonator placed in the open space and the space itself or two adjacent resonators interact with each other, how the resonator angle of the resonators changes the so-called. length correction and they show the shape of the wavefronts in an excited resonator as well.


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