Eventos Anais de eventos
ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
COMPARATIVE ANALYSIS OF DISCRETE AND CONTINUOUS SPECTRAL APPROACHES APPLIED ON HYDRODYNAMIC STABILITY
Submission Author:
Juan Carlos Assis da Silva , RJ
Co-Authors:
Juan Carlos Assis da Silva, Rômulo Bessi Freitas, Leonardo Santos de Brito Alves
Presenter: Juan Carlos Assis da Silva
doi://10.26678/ABCM.ENCIT2020.CIT20-0531
Abstract
Hydrodynamic instability has been used at a large amount of fluid mechanics problems. The matrix forming approach is nowadays the main methodology to solve the stability equations. In this one, the equations are spatially discretized getting a generalized eigenvalue problem. The discrete spectral approach has historically been the choice for that spatial discretization, due the optimal compromise between the highest accuracy and the amount of information to be stored. However, that positive aspect is reduced when multidimensional problems are considered. The present work proposes the use of continuous spectral formulations to test their viability in that type of problem and compare it with discrete formulations.
Keywords
stability analysis, matrix forming, spectral approach, GITT
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