The effect of sponge layers on global stability analysis of Blasius boundary layer flow

Wei Ran, Armin Zare, Joseph W. Nichols, Mihailo Jovanovic

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

In this paper, we conduct a parametric study on the influence of sponge layer strength on temporal eigenvalue problems arising from the one-dimensional wave equation and the linearized Navier-Stokes equations. Sponge layers have shown to stabilize eigenmodes and introduce additional spatial growth to eigenfunctions. As the strength of sponge layers increases, temporal eigenvalues are displaced and the spatial growth rates of their associat- ed eigenfunctions are modified. In both wave and linearized Navier-Stokes equations, the linear relationship between temporal damping and spatial growth can be specified as an approximate dispersion relation. It can also be shown that an over strengthened sponge layer can reect spatially propagating waves. This reection can lead to a destabilization of the otherwise stable eigenspectrum with alteration of eigenfunction wavelengths. We provide an empirical guideline for determining the optimal sponge layer strength and demonstrate the efficacy of our method in the global stability analysis of the linearized Navier-Stokes equations.

Original languageEnglish (US)
Title of host publication47th AIAA Fluid Dynamics Conference, 2017
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105005
DOIs
StatePublished - Jan 1 2017
Event47th AIAA Fluid Dynamics Conference, 2017 - Denver, United States
Duration: Jun 5 2017Jun 9 2017

Publication series

Name47th AIAA Fluid Dynamics Conference, 2017

Other

Other47th AIAA Fluid Dynamics Conference, 2017
CountryUnited States
CityDenver
Period6/5/176/9/17

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