A Numerical Model of Acoustic Choking, Part II: Shocked Solutions

Noel Walkington; Walter Eversman

doi:10.1016/S0022-460X(86)80133-X

A Numerical Model of Acoustic Choking, Part II: Shocked Solutions

Noel Walkington
, Walter Eversman

Missouri University of Science and Technology

Research output: Contribution to journal › Article › peer-review

Abstract

The one dimensional equations of gas dynamics are used to model subsonic acoustic choking. This model can accommodate non-linear distortion of waves and the eventual formation of shock waves. Several finite differencing schemes are adapted to obtain solutions. The results obtained with the various schemes are compared with the asymptotic results available. The results suggest that no one finite differencing scheme gives solutions significantly better than the others and that most of the difference solutions are close to the asymptotic results. If the acoustic shock wave is sufficiently strong it almost annihilates the acoustic wave; in this situation numerical errors may dominate the results. Such solutions involve very large acoustic attenuations. © 1986 Academic Press Inc. (London) Limited.

Original language	American English
Journal	Journal of Sound and Vibration
DOIs	https://doi.org/10.1016/S0022-460X(86)80133-X
State	Published - Jan 1 1986

Disciplines

Aerospace Engineering
Mechanical Engineering

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title = "A Numerical Model of Acoustic Choking, Part II: Shocked Solutions",

abstract = " The one dimensional equations of gas dynamics are used to model subsonic acoustic choking. This model can accommodate non-linear distortion of waves and the eventual formation of shock waves. Several finite differencing schemes are adapted to obtain solutions. The results obtained with the various schemes are compared with the asymptotic results available. The results suggest that no one finite differencing scheme gives solutions significantly better than the others and that most of the difference solutions are close to the asymptotic results. If the acoustic shock wave is sufficiently strong it almost annihilates the acoustic wave; in this situation numerical errors may dominate the results. Such solutions involve very large acoustic attenuations. {\textcopyright} 1986 Academic Press Inc. (London) Limited.",

author = "Noel Walkington and Walter Eversman",

year = "1986",

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day = "1",

doi = "10.1016/S0022-460X(86)80133-X",

language = "American English",

journal = "Journal of Sound and Vibration",

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T1 - A Numerical Model of Acoustic Choking, Part II: Shocked Solutions

AU - Walkington, Noel

AU - Eversman, Walter

PY - 1986/1/1

Y1 - 1986/1/1

N2 - The one dimensional equations of gas dynamics are used to model subsonic acoustic choking. This model can accommodate non-linear distortion of waves and the eventual formation of shock waves. Several finite differencing schemes are adapted to obtain solutions. The results obtained with the various schemes are compared with the asymptotic results available. The results suggest that no one finite differencing scheme gives solutions significantly better than the others and that most of the difference solutions are close to the asymptotic results. If the acoustic shock wave is sufficiently strong it almost annihilates the acoustic wave; in this situation numerical errors may dominate the results. Such solutions involve very large acoustic attenuations. © 1986 Academic Press Inc. (London) Limited.

AB - The one dimensional equations of gas dynamics are used to model subsonic acoustic choking. This model can accommodate non-linear distortion of waves and the eventual formation of shock waves. Several finite differencing schemes are adapted to obtain solutions. The results obtained with the various schemes are compared with the asymptotic results available. The results suggest that no one finite differencing scheme gives solutions significantly better than the others and that most of the difference solutions are close to the asymptotic results. If the acoustic shock wave is sufficiently strong it almost annihilates the acoustic wave; in this situation numerical errors may dominate the results. Such solutions involve very large acoustic attenuations. © 1986 Academic Press Inc. (London) Limited.

UR - https://scholarsmine.mst.edu/mec_aereng_facwork/2021

UR - https://doi.org/10.1016/S0022-460X(86)80133-X

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DO - 10.1016/S0022-460X(86)80133-X

M3 - Article

SN - 1095-8568

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

ER -

A Numerical Model of Acoustic Choking, Part II: Shocked Solutions

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