Finite element solution of sound propagation in a variable area duct

Tag, I.A.; Akin, J.E.

doi:10.2514/6.1979-663

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1980

1982

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Time-Dependent Difference Theory for Noise Propagation in a Two-Dimensional Duct

Baumeister

1980

AIAA Journal

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A time-dependent numerical formulation is derived for sound propagation in a two-dimensional straight soft-walled duct in the absence of mean . flow. The time-dependent governing acoustic-difference equations and boundary conditions are developed along with the maximum stable time inrement. Example calculations are presented for sound attenuation in hard-and soft-wall ducts. The timedependent analysis has been found to be superior to the conventional steady numerical analysis because of much shorter solution times and the elimination of matrix storage requirements.

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