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

Ferrer Vaccarezza, Esteban and Vicente Buendia, Javier De and 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.

Description

Title: Low cost 3D global instability analysis and flow sensitivity based on dynamic mode decomposition and high-order numerical tools
Author/s:
  • Ferrer Vaccarezza, Esteban
  • Vicente Buendia, Javier De
  • Valero Sánchez, Eusebio
Item Type: Article
Título de Revista/Publicación: International Journal for Numerical Methods in Fluids
Date: September 2014
ISSN: 1097-0363
Volume: 76
Subjects:
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Matemática Aplicada a la Ingeniería Aeroespacial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

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.

More information

Item ID: 40062
DC Identifier: http://oa.upm.es/40062/
OAI Identifier: oai:oa.upm.es:40062
DOI: 10.1002/fld.3930
Official URL: http://onlinelibrary.wiley.com/doi/10.1002/fld.3930/abstract
Deposited by: Memoria Investigacion
Deposited on: 03 Oct 2016 11:40
Last Modified: 03 Oct 2016 11:40
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