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ABEC - Boundary Element Part

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ABEC stands for Acoustic Boundary Element Calculator. ABEC directly solves the Helmholtz Integral for the interior and exterior radiation problem. It's all acoustics, no mechanics. The integral is solved by decomposing the structure into triangles assuming constant pressure on each finite element.

ABEC supports sub-domain modeling. In this mode the total structure is split into several domains. The solving happens in two stages. First, each sub-domain and subsequently, the total system is solved. Sub-domain modeling is powerful for larger acoustic systems, such as vented loudspeaker enclosures or horns, for example. In BEM it is the only way to deal with certain cases of Infinite Baffle radiation.

ABEC supports multiple domains automatically. Multiple domains are acoustically independent. For example, the complete model of a sealed loudspeaker enclosure would feature two domains. One interior and one exterior domain.

ABEC standard mode is 3D but also supports the axis-symmetric model.

ABEC supports damping at the boundaries. Either simple damping or reflection coefficients can be specified or an impedance of admittance spectrum-file can be linked to the boundary.

ABEC features late binding of driving values. This means the actual driving values are not necessary for the solving stage and can be provided later at the observation stage. This technique shortens simulation time, gives flexibility and is the corner-stone for coupling the BE to the Lumped Element part.


ABEC is quite simple to use, but rudimentary at the input. The structure is entered via a text-script. The syntax is similar to other finite element programs. ABEC will auto-mesh the structure in order to satisfy the frequency-criterion.

ABEC comes with a 3D-OpenGL viewer, which displays the structure and the field as contour maps.

At solving stage ABEC supports parallel-processing.

After the solving stage, the response can be observed immediately. Sound pressure fields can be displayed as contours inside ABECs viewer. Spectral response curves at any point in space or the directivity can be calculated and rendered with the help of our graphic engine Vacs or VacsViewer.


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