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Apartment acoustics. Analyzed using the acoustic diffusion equation, слайд №1

Apartment acoustics. Analyzed using the acoustic diffusion equation, слайд №2

Apartment acoustics. Analyzed using the acoustic diffusion equation, слайд №3

Apartment acoustics. Analyzed using the acoustic diffusion equation, слайд №4

Apartment acoustics. Analyzed using the acoustic diffusion equation, слайд №5

Apartment acoustics. Analyzed using the acoustic diffusion equation, слайд №6

Apartment acoustics. Analyzed using the acoustic diffusion equation, слайд №7

Apartment acoustics. Analyzed using the acoustic diffusion equation, слайд №8

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Слайд 1

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Apartment Acoustics Analyzed using the Acoustic Diffusion Equation #24311

Слайд 2

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Overview The steady state sound pressure level distribution from a TV in a two-room apartment is computed The simulation uses the Acoustic Diffusion Equation interface An approximate expression for the direct sound is added in the living room

Слайд 3

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Geometry and Mesh The geometry consists of a living room, a bedroom, and some rudimentary furniture The acoustic diffusion equation does not have any strong demands on the mesh

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Physics The simulation is driven by an energy flux assigned to the speaker fronts Both rooms have their diffusion coefficient calculated using the cubic room mean free path model: Between the rooms, a room coupling condition applies a 10 dB transmission loss (TL) representing a door

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Physics, cont. The simulation is solved for a flat band, i.e. with absorption coefficients considered independent of the frequency An absorption coefficient of 0.7 is applied to the soft surfaces and an absorption coefficient of 0.25 to the hard surfaces. Especially the latter is a little higher than typical, to compensate for the lack of carpets, curtains, etc. For more realistic results, it is recommended that you modify the application to include different absorption coefficients for different materials and in different frequency bands

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Physics, cont. The acoustic diffusion equation does not include direct sound Assuming that the speakers send out sound isotropically in a half-space, most of the living room is expected to experience a direct sound intensity from each speaker approximated by the expression corresponding to a squared pressure amplitude The total sound pressure level then becomes

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Results 23 dB drop between the red dots (listening and sleeping positions)

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Results, cont. The Schroeder frequencies for the bedroom and living room evaluate to 183 Hz and 167 Hz respectively. The acoustic diffusion equation is a better approximation the higher the frequency, and should not be used below the Schroeder frequency. Adding the direct sound has increased the sound pressure level in the listening position above the couch by 1.8 dB.