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

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

Overview

8 Scopus Citations

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Author(s)

H.V. Moradi
J.M. Floryan

Detail(s)

Original language	English
Pages (from-to)	35-59
Journal / Publication	Journal of Computational Physics
Volume	314
Online published	7 Mar 2016
Publication status	Published - 1 Jun 2016
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1016/j.jcp.2016.02.069 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84960327076&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(a635d569-d8ef-444d-9955-389ae38f770d).html

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.