Integrated computation of finite-time Lyapunov exponent fields during direct numerical simulation of unsteady flows Public Deposited

http://ir.library.oregonstate.edu/concern/defaults/2j62s549h

This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by the American Institute of Physics and can be found at:  http://chaos.aip.org/resource/1/chaoeh.

Descriptions

Attribute NameValues
Creator
Abstract or Summary
  • The computation of Lagrangian coherent structures typically involves post-processing of experimentally or numerically obtained fluid velocity fields to obtain the largest finite-time Lyapunov exponent (FTLE) field. However, this procedure can be tedious for large-scale complex flows of general interest. In this work, an alternative approach involving computation of the FTLE on-the-fly during direct numerical simulation of the full three dimensional Navier-Stokes equations is developed. The implementation relies on Lagrangian particle tracking to compose forward time flow maps, and an Eulerian treatment of the backward time flow map [S. Leung, Journal of Computational Physics 230, 2011] coupled with a semi-Lagrangian advection scheme. The flow maps are accurately constructed from a sequence of smaller sub-steps stored on disk [S. Brunton and C. Rowley, Chaos 20, 2010], resulting in low CPU and memory requirements to compute evolving FTLE fields. Several examples are presented to demonstrate the capability and parallel scalability of the approach for a variety of two and three dimensional flows.
Resource Type
DOI
Date Available
Date Issued
Citation
  • Finn, J., & Apte, S. V. (2013). Integrated computation of finite-time Lyapunov exponent fields during direct numerical simulation of unsteady flows. Chaos (Woodbury, N.Y.), 23(1), 013145. doi:10.1063/1.4795749
Series
Keyword
Rights Statement
Funding Statement (additional comments about funding)
Publisher
Peer Reviewed
Language
Replaces
Additional Information
  • description.provenance : Submitted by Deanne Bruner (deanne.bruner@oregonstate.edu) on 2013-06-24T23:51:33Z No. of bitstreams: 1 ApteSourabhMechanicalIndustrialManufacturingEngineeringIntegratedComputationFinite.pdf: 2590692 bytes, checksum: 646f64b6292d3081910b10755b556f1b (MD5)
  • description.provenance : Made available in DSpace on 2013-06-24T23:55:58Z (GMT). No. of bitstreams: 1 ApteSourabhMechanicalIndustrialManufacturingEngineeringIntegratedComputationFinite.pdf: 2590692 bytes, checksum: 646f64b6292d3081910b10755b556f1b (MD5) Previous issue date: 2013-03
  • description.provenance : Approved for entry into archive by Deanne Bruner(deanne.bruner@oregonstate.edu) on 2013-06-24T23:55:58Z (GMT) No. of bitstreams: 1 ApteSourabhMechanicalIndustrialManufacturingEngineeringIntegratedComputationFinite.pdf: 2590692 bytes, checksum: 646f64b6292d3081910b10755b556f1b (MD5)

Relationships

Parents:

This work has no parents.

Last modified

Downloadable Content

Download PDF

Items