Low cost 3D global instability analysis and flow sensitivity based on dynamic mode decomposition and high-order numerical tools

Ferrer Vaccarezza, Esteban; Vicente Buendia, Javier De y Valero Sánchez, Eusebio (2014). Low cost 3D global instability analysis and flow sensitivity based on dynamic mode decomposition and high-order numerical tools. "International Journal for Numerical Methods in Fluids", v. 76 (n. 3); pp. 169-184. ISSN 1097-0363. https://doi.org/10.1002/fld.3930.

Descripción

Título: Low cost 3D global instability analysis and flow sensitivity based on dynamic mode decomposition and high-order numerical tools
Autor/es:
  • Ferrer Vaccarezza, Esteban
  • Vicente Buendia, Javier De
  • Valero Sánchez, Eusebio
Tipo de Documento: Artículo
Título de Revista/Publicación: International Journal for Numerical Methods in Fluids
Fecha: Septiembre 2014
Volumen: 76
Materias:
Escuela: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Departamento: Matemática Aplicada a la Ingeniería Aeroespacial
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

Texto completo

[img]
Vista Previa
PDF (Document Portable Format) - Se necesita un visor de ficheros PDF, como GSview, Xpdf o Adobe Acrobat Reader
Descargar (6MB) | Vista Previa

Resumen

We explore the recently developed snapshot-based dynamic mode decomposition (DMD) technique, a matrix-free Arnoldi type method, to predict 3D linear global flow instabilities. We apply the DMD technique to flows confined in an L-shaped cavity and compare the resulting modes to their counterparts issued from classic, matrix forming, linear instability analysis (i.e. BiGlobal approach) and direct numerical simulations. Results show that the DMD technique, which uses snapshots generated by a 3D non-linear incompressible discontinuous Galerkin Navier?Stokes solver, provides very similar results to classical linear instability analysis techniques. In addition, we compare DMD results issued from non-linear and linearised Navier?Stokes solvers, showing that linearisation is not necessary (i.e. base flow not required) to obtain linear modes, as long as the analysis is restricted to the exponential growth regime, that is, flow regime governed by the linearised Navier?Stokes equations, and showing the potential of this type of analysis based on snapshots to general purpose CFD codes, without need of modifications. Finally, this work shows that the DMD technique can provide three-dimensional direct and adjoint modes through snapshots provided by the linearised and adjoint linearised Navier?Stokes equations advanced in time. Subsequently, these modes are used to provide structural sensitivity maps and sensitivity to base flow modification information for 3D flows and complex geometries, at an affordable computational cost. The information provided by the sensitivity study is used to modify the L-shaped geometry and control the most unstable 3D mode.

Más información

ID de Registro: 40062
Identificador DC: http://oa.upm.es/40062/
Identificador OAI: oai:oa.upm.es:40062
Identificador DOI: 10.1002/fld.3930
URL Oficial: http://onlinelibrary.wiley.com/doi/10.1002/fld.3930/abstract
Depositado por: Memoria Investigacion
Depositado el: 03 Oct 2016 11:40
Ultima Modificación: 03 Oct 2016 11:40
  • Open Access
  • Open Access
  • Sherpa-Romeo
    Compruebe si la revista anglosajona en la que ha publicado un artículo permite también su publicación en abierto.
  • Dulcinea
    Compruebe si la revista española en la que ha publicado un artículo permite también su publicación en abierto.
  • Recolecta
  • e-ciencia
  • Observatorio I+D+i UPM
  • OpenCourseWare UPM