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Eigenmodes of a Room

Application ID: 63

When designing a concert hall, it is extremely important to take the resonances into account. For a clear and neutral sound, the eigenfrequencies should be evenly spread through the registers. For the home stereo owner, who cannot actually change the shape of his living room, another question is more relevant: where should the speakers be put for the best sound?

To illustrate the effects we are going to calculate every eigenfrequency below 100 Hz, together with their corresponding eigenmodes. The eigenmode shows the sound intensity pattern for its associated eigenfrequency. From the characteristics of the eigenmodes, we can draw some conclusions as to where the speakers should be placed.

The eigenmodes differ slightly from the exact solution for an empty room. The equations are only solved in half the geometry and then analyzed everywhere using coupling variables.

This model is included as an example in the following products:

COMSOL Multiphysics®

The combination of COMSOL® products required to model your application depends on several factors and may include boundary conditions, material properties, physics interfaces, and part libraries. Particular functionality may be common to several products. To determine the right combination of products for your modeling needs, review the Specification Chart and make use of a free evaluation license. The COMSOL Sales and Support teams are available for answering any questions you may have regarding this.