Abstract

It is shown that there is an increase in efficiency of acoustic radiation finite element modeling with the incorporation of cubic rather than quadratic serendipity elements. Cubic serendipity elements produce a given level of accuracy for acoustic pressure using a coarser mesh than required using quadratic elements, thus decreasing the CPU time needed for accurate modeling. These elements have been applied to the near field inlet and aft acoustic radiation models for a turbofan engine with the result of considerable reduction in the dimensionality of the problem without sacrificing accuracy. Visual observations of the gain in computational efficiency is supported by error norm comparisons in cases of acoustic propagation in a uniform duct with various flow speeds and angular modes. These comparisons show that for computation of acoustic pressure the cubic element formulation model converges at a higher rate than the quadratic. It is clear that for the convective Helmholtz equation these higher order elements improve the calculation of the derivative in the post processing of the acoustic potential, thus leading to a more accurate determination of the acoustic pressure magnitude. © 2002 by Walter Eversman. Published by the American Institute of Aeronautics and Astronautics, Inc.

Department(s)

Mechanical and Aerospace Engineering

Publication Status

Full Access

International Standard Book Number (ISBN)

978-162410119-9

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 American Institute of Aeronautics and Astronautics, All rights reserved.

Publication Date

01 Jan 2002

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