Title

Accuracy and Stability of Finite Element Schemes for the Duct Transmission Problem

Abstract

A one-dimensional numerical model is used to investigate the characteristics of finite element computational schemes for linearized acoustical transmission in ducts with flow. Primitive variables and coupled first-order equations are used. The relative performances of Lagrangian and Hermitian elements with Galerkin and residual least squares formulations are assessed. Results of the numerical study are shown to correlate with the characteristics of analytic solutions for the equivalent regular grid difference equations. Galerkin solutions are shown to introduce spurious nonphysical modes which must be eliminated by careful attention to the local resolution requirements of the finite-element mesh. Residual least squares formulations do not introduce spurious numerical modes but result in significant numerical damping.

Department(s)

Mechanical and Aerospace Engineering

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1982 American Institute of Aeronautics and Astronautics (AIAA), All rights reserved.

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