High-accuracy Numerical Simulation of Acoustic Propagation Problem in Pipe

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Journal of Vibration and Shock ›› 2010, Vol. 29 ›› Issue (8) : 115-119.

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High-accuracy Numerical Simulation of Acoustic Propagation Problem in Pipe

Rongxin ZHANG;Guoliang QIN; Lina XU

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Abstract

A Chebychev spectral elements approximae solution of the acoustic propagation problem in subsonic pipe was introduced. The discretization was carried out based on spectral elements in space with sound-hard boundary on the rigid wall and sound-soft boundary at the inlet and outlet of the pipe. An implicit Newmark method was used for time marching. Gaussian perturbation as a test measure was cal-culated with good results obtained and the boundary reflections were analyzed as well. The absorbing boundary condition is suitable in static medium while losing some accuracy in subsonic flow. The numerical simulation of acoustic propagation with sixth order ac-curacy was implemented, and its results coincide well with those according to the linear acoustic theory, illustrating the high performance of spectral elements method in solving CAA problems.

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CAA / subsonic pipe / acoustic propagation / spectral elements / high order accuracy

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Rongxin ZHANG;Guoliang QIN;Lina XU. High-accuracy Numerical Simulation of Acoustic Propagation Problem in Pipe[J]. Journal of Vibration and Shock, 2010, 29(8): 115-119