Global Linear Instability at the Dawn of its 4th Decade: A List of Challenges (A Practical Guide on how to Contain the Euphoria and Avoid the Oversell)

Theofilis, Vassilios; Gómez, F.; Paredes Gonzalez, Pedro; Le Clainche Martínez, Soledad y Hermanns Navarro, Miguel (2011). Global Linear Instability at the Dawn of its 4th Decade: A List of Challenges (A Practical Guide on how to Contain the Euphoria and Avoid the Oversell). En: "6th AIAA Theoretical Fluid Mechanics Conference", 27/06/2011 - 30/06/2011, Honolulu, Hawaii, USA. pp..

Descripción

Título: Global Linear Instability at the Dawn of its 4th Decade: A List of Challenges (A Practical Guide on how to Contain the Euphoria and Avoid the Oversell)
Autor/es:
  • Theofilis, Vassilios
  • Gómez, F.
  • Paredes Gonzalez, Pedro
  • Le Clainche Martínez, Soledad
  • Hermanns Navarro, Miguel
Tipo de Documento: Ponencia en Congreso o Jornada (Artículo)
Título del Evento: 6th AIAA Theoretical Fluid Mechanics Conference
Fechas del Evento: 27/06/2011 - 30/06/2011
Lugar del Evento: Honolulu, Hawaii, USA
Título del Libro: 6th AIAA Theoretical Fluid Mechanics Conference
Fecha: 2011
Materias:
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Motopropulsión y Termofluidodinámica [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

Global linear instability theory is concerned with the temporal or spatial development of small-amplitude perturbations superposed upon laminar steady or time-periodic threedimensional flows, which are inhomogeneous in two (and periodic in one) or all three spatial directions.1 The theory addresses flows developing in complex geometries, in which the parallel or weakly nonparallel basic flow approximation invoked by classic linear stability theory does not hold. As such, global linear theory is called to fill the gap in research into stability and transition in flows over or through complex geometries. Historically, global linear instability has been (and still is) concerned with solution of multi-dimensional eigenvalue problems; the maturing of non-modal linear instability ideas in simple parallel flows during the last decade of last century2–4 has given rise to investigation of transient growth scenarios in an ever increasing variety of complex flows. After a brief exposition of the theory, connections are sought with established approaches for structure identification in flows, such as the proper orthogonal decomposition and topology theory in the laminar regime and the open areas for future research, mainly concerning turbulent and three-dimensional flows, are highlighted. Recent results obtained in our group are reported in both the time-stepping and the matrix-forming approaches to global linear theory. In the first context, progress has been made in implementing a Jacobian-Free Newton Krylov method into a standard finite-volume aerodynamic code, such that global linear instability results may now be obtained in compressible flows of aeronautical interest. In the second context a new stable very high-order finite difference method is implemented for the spatial discretization of the operators describing the spatial BiGlobal EVP, PSE-3D and the TriGlobal EVP; combined with sparse matrix treatment, all these problems may now be solved on standard desktop computers.

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ID de Registro: 13172
Identificador DC: http://oa.upm.es/13172/
Identificador OAI: oai:oa.upm.es:13172
Depositado por: Memoria Investigacion
Depositado el: 25 Feb 2013 15:37
Ultima Modificación: 22 Sep 2014 10:57
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