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RESEARCH PAPERS: Design Automation Papers

A Two-Dimensional Isoparametric Galerkin Finite Element for Acoustic-Flow Problems

[+] Author and Article Information
S.-F. Ling

Department of Mechanical Engineering, National Cheng Kung University, Taiwan, Taiwan, Republic of China

J. F. Hamilton

Ray W. Herrick Laboratories, Purdue University, West Lafayette, Ind.

J. J. Allen

School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, Okla.

J. Mech., Trans., and Automation 105(3), 385-391 (Sep 01, 1983) (7 pages) doi:10.1115/1.3267372 History: Received June 11, 1982; Online November 19, 2009

Abstract

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.

Copyright © 1983 by ASME
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