A method for analysis of stability of flows in ribbed annuli

H.V. Moradi; J.M. Floryan

doi:10.1016/j.jcp.2016.02.069

A method for analysis of stability of flows in ribbed annuli

H.V. Moradi^*
, J.M. Floryan

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

8 Citations (Scopus)

Abstract

A spectrally-accurate algorithm for the linear stability analysis of pressure-gradient-driven flows in corrugated annuli is presented. The algorithm is suitable to analyze three-dimensional disturbances in the form of spiral traveling waves as well as in the form of streamwise vortices. A separate algorithm for the analysis of axisymmetric disturbances is presented. The discretization method relies on Fourier expansions in the streamwise and circumferential directions and on Chebyshev expansions in the radial direction. The Immersed Boundary Conditions (IBC) method is used to enforce the physical boundary conditions at the corrugated walls. Numerous tests confirm the spectral accuracy of the results. The performance of the algorithm is consistent with the theoretical predictions.

Original language	English
Pages (from-to)	35-59
Journal	Journal of Computational Physics
Volume	314
Online published	7 Mar 2016
DOIs	https://doi.org/10.1016/j.jcp.2016.02.069
Publication status	Published - 1 Jun 2016
Externally published	Yes

Research Keywords

Linear stability analysis
Immersed boundary conditions method
Flows in annuli

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10.1016/j.jcp.2016.02.069

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title = "A method for analysis of stability of flows in ribbed annuli",

abstract = "A spectrally-accurate algorithm for the linear stability analysis of pressure-gradient-driven flows in corrugated annuli is presented. The algorithm is suitable to analyze three-dimensional disturbances in the form of spiral traveling waves as well as in the form of streamwise vortices. A separate algorithm for the analysis of axisymmetric disturbances is presented. The discretization method relies on Fourier expansions in the streamwise and circumferential directions and on Chebyshev expansions in the radial direction. The Immersed Boundary Conditions (IBC) method is used to enforce the physical boundary conditions at the corrugated walls. Numerous tests confirm the spectral accuracy of the results. The performance of the algorithm is consistent with the theoretical predictions.",

keywords = "Linear stability analysis, Immersed boundary conditions method, Flows in annuli",

author = "H.V. Moradi and J.M. Floryan",

year = "2016",

month = jun,

day = "1",

doi = "10.1016/j.jcp.2016.02.069",

language = "English",

volume = "314",

pages = "35--59",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - A method for analysis of stability of flows in ribbed annuli

AU - Moradi, H.V.

AU - Floryan, J.M.

PY - 2016/6/1

Y1 - 2016/6/1

N2 - A spectrally-accurate algorithm for the linear stability analysis of pressure-gradient-driven flows in corrugated annuli is presented. The algorithm is suitable to analyze three-dimensional disturbances in the form of spiral traveling waves as well as in the form of streamwise vortices. A separate algorithm for the analysis of axisymmetric disturbances is presented. The discretization method relies on Fourier expansions in the streamwise and circumferential directions and on Chebyshev expansions in the radial direction. The Immersed Boundary Conditions (IBC) method is used to enforce the physical boundary conditions at the corrugated walls. Numerous tests confirm the spectral accuracy of the results. The performance of the algorithm is consistent with the theoretical predictions.

AB - A spectrally-accurate algorithm for the linear stability analysis of pressure-gradient-driven flows in corrugated annuli is presented. The algorithm is suitable to analyze three-dimensional disturbances in the form of spiral traveling waves as well as in the form of streamwise vortices. A separate algorithm for the analysis of axisymmetric disturbances is presented. The discretization method relies on Fourier expansions in the streamwise and circumferential directions and on Chebyshev expansions in the radial direction. The Immersed Boundary Conditions (IBC) method is used to enforce the physical boundary conditions at the corrugated walls. Numerous tests confirm the spectral accuracy of the results. The performance of the algorithm is consistent with the theoretical predictions.

KW - Linear stability analysis

KW - Immersed boundary conditions method

KW - Flows in annuli

UR - https://www.scopus.com/pages/publications/84960327076

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84960327076&origin=recordpage

U2 - 10.1016/j.jcp.2016.02.069

DO - 10.1016/j.jcp.2016.02.069

M3 - RGC 21 - Publication in refereed journal

SN - 0021-9991

VL - 314

SP - 35

EP - 59

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

A method for analysis of stability of flows in ribbed annuli

Abstract

Research Keywords

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