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Stability of wall-bounded flows using one-way spatial integration of Navier-Stokes equations

Rigas, Georgios and Colonius, Tim and Beyar, Michael (2017) Stability of wall-bounded flows using one-way spatial integration of Navier-Stokes equations. In: 55th AIAA Aerospace Sciences Meeting, 9-13 January 2017, Grapevine, TX.

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A method for constructing well-posed one-way equations for calculating disturbances of slowly-varying flows was recently introduced (Towne & Colonius, JCP, Vol. 300, 2015). The linearized Navier-Stokes equations are modified such that all upstream propagating modes are removed from the operator. The resulting equations, termed one-way Navier-Stokes equations, are stable and can be solved efficiently in the frequency domain as a spatial initial value problem in which initial perturbations are specified at the domain inlet and propagated downstream by spatial integration. To date, the method has been used to predict large-scale wavepacket structures and their acoustic radiation in turbulent jets. In this paper, the method is extended and applied to wall-bounded flows. Specifically, we examine the spatial stability of two- and three-dimensional boundary layers, corresponding to the Blasius and the Falkner-Skan-Cooke flows, and predict the evolution of unstable Tollmien-Schlichting waves and crossflow vortices, respectively. The method is validated against well-known results from the literature.

Item Type:Conference or Workshop Item (Paper)
Related URLs:
URLURL TypeDescription Paper Paper
Rigas, Georgios0000-0001-6692-6437
Colonius, Tim0000-0003-0326-3909
Additional Information:© 2017 American Institute of Aeronautics and Astronautics. Published Online: 5 Jan 2017. G.R. and T.C. acknowledge the support of the Boeing Company through a Strategic Research and Development Relationship Agreement CT-BA-GTA-1.
Funding AgencyGrant Number
Boeing Company Strategic Research and Development RelationshipCT-BA-GTA-1
Subject Keywords:Fluid Dynamics
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Other Numbering System NameOther Numbering System ID
AIAA Paper2017-1881
Record Number:CaltechAUTHORS:20190709-092102122
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:96976
Deposited By: Melissa Ray
Deposited On:11 Jul 2019 23:01
Last Modified:16 Nov 2021 17:25

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