Numerical solution of eigenvalue problems using spectral techniques

Y. Y. Su; B. Khomami

doi:10.1016/0021-9991(92)90237-S

Numerical solution of eigenvalue problems using spectral techniques

Y. Y. Su
, B. Khomami

Department of Chemical Engineering and Biotechnology

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

31 Scopus citations

Abstract

Two algorithms based on spectral Chebyshev and pseudospectral Chebyshev methods are presented for solving difficult eigenvalue problems that are valid over connected domains coupled through interfacial conditions. To demonstrate the applicability of these methods, we have examined the eigenvalue problems that describe the linear stability of two superposed Newtonian and inelastic power law fluids in plane Poiseuille flow for a selected range of parameters. Both algorithms provide accurate results and the pseudospectral code appears to be more efficient in handling linear stability problems.

Original language	English
Pages (from-to)	297-305
Number of pages	9
Journal	Journal of Computational Physics
Volume	100
Issue number	2
DOIs	https://doi.org/10.1016/0021-9991(92)90237-S
State	Published - Jun 1992

Bibliographical note

Funding Information:
This work was supported in part by the National Science Foundation under Grant No. CTS-8914354. Computational Resources (Cray X-MP) were provided by the University of Illinois Supercomputing Center.

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10.1016/0021-9991(92)90237-S

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title = "Numerical solution of eigenvalue problems using spectral techniques",

abstract = "Two algorithms based on spectral Chebyshev and pseudospectral Chebyshev methods are presented for solving difficult eigenvalue problems that are valid over connected domains coupled through interfacial conditions. To demonstrate the applicability of these methods, we have examined the eigenvalue problems that describe the linear stability of two superposed Newtonian and inelastic power law fluids in plane Poiseuille flow for a selected range of parameters. Both algorithms provide accurate results and the pseudospectral code appears to be more efficient in handling linear stability problems.",

author = "Su, \{Y. Y.\} and B. Khomami",

note = "Funding Information: This work was supported in part by the National Science Foundation under Grant No. CTS-8914354. Computational Resources (Cray X-MP) were provided by the University of Illinois Supercomputing Center.",

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N2 - Two algorithms based on spectral Chebyshev and pseudospectral Chebyshev methods are presented for solving difficult eigenvalue problems that are valid over connected domains coupled through interfacial conditions. To demonstrate the applicability of these methods, we have examined the eigenvalue problems that describe the linear stability of two superposed Newtonian and inelastic power law fluids in plane Poiseuille flow for a selected range of parameters. Both algorithms provide accurate results and the pseudospectral code appears to be more efficient in handling linear stability problems.

AB - Two algorithms based on spectral Chebyshev and pseudospectral Chebyshev methods are presented for solving difficult eigenvalue problems that are valid over connected domains coupled through interfacial conditions. To demonstrate the applicability of these methods, we have examined the eigenvalue problems that describe the linear stability of two superposed Newtonian and inelastic power law fluids in plane Poiseuille flow for a selected range of parameters. Both algorithms provide accurate results and the pseudospectral code appears to be more efficient in handling linear stability problems.

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Numerical solution of eigenvalue problems using spectral techniques

Abstract

Bibliographical note

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