Lst and the eigenfunction expansion method for linearized navier-stokes equations – a summary

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

Abstract

The eigenfunction system corresponding to the Linear Stability Theory (LST) equations is discussed from the perspective of a basis for the eigenfunction expansion method for the Linearized Navier-Stokes Equations (LNSE). The method may lead to an infinite system of coupled ODEs or integro-differential equations. An approximation/truncation is needed to solve an initial boundary-value problem for linearized Navier-Stokes equations using this method. Examples include coupling of modes due to weakly nonparallel flow effect, scattering of an acoustic wave on a localized roughness, initial-value problem for perturbations in boundary layers, distributed forcing due to impinging particulates or thermal noise, and an actuator located on a wall. The BiGlobal/TriGlobal system of eigenfunctions can also be used for solving the Linearized Navier-Stokes equations in other complex flows along the same lines of the eigenfunction expansion method.

Original languageEnglish (US)
Title of host publicationAIAA Scitech 2020 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
Pages1-17
Number of pages17
ISBN (Print)9781624105951
DOIs
StatePublished - 2020
EventAIAA Scitech Forum, 2020 - Orlando, United States
Duration: Jan 6 2020Jan 10 2020

Publication series

NameAIAA Scitech 2020 Forum

Conference

ConferenceAIAA Scitech Forum, 2020
CountryUnited States
CityOrlando
Period1/6/201/10/20

ASJC Scopus subject areas

  • Aerospace Engineering

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