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.
Recommended Citation
R. J. Astley et al., "Accuracy and Stability of Finite Element Schemes for the Duct Transmission Problem," AIAA Journal, American Institute of Aeronautics and Astronautics (AIAA), Jan 1982.
The definitive version is available at https://doi.org/10.2514/3.51219
Department(s)
Mechanical and Aerospace Engineering
International Standard Serial Number (ISSN)
0001-1452
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.
Publication Date
01 Jan 1982
