In duct acoustics, analytical solutions are difficult to obtain because of the presence of flow, boundary impedance, and complicated geometry. A Galerkin isoparametric finite element based on a domain equation which is uncoupled from the flow field is developed. Applying the method to duct acoustic problems results in a set of complex, unsymmetric, nondiagonal dominant simultaneous equations of high order. The Crout reduction scheme is modified to alleviate the computer storage difficulties in solving the numerical problem. The finite element is applied to the analysis of a semi-infinite duct with flow, and a convergent-divergent duct with flow.

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