The numerical investigation of Lagrangian and Eulerian coherent structures for the near wake structure of a hovering Drosophila

Ezgi Dilek, Belkis Erzincanli, Mehmet Sahin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

An integrated simulation of a Drosophila wing–body combination in hovering flight has been carried out in order to analyze the Lagrangian and Eulerian coherent structures. A parallel unstructured finite volume method based on an arbitrary Lagrangian–Eulerian (ALE) formulation has been initially validated for a flapping rectangular plate and then employed to solve the incompressible unsteady Navier–Stokes equations around a Drosophila wing–body combination. A robust mesh deformation algorithm based on indirect radial basis function method is utilized at each time level while avoiding remeshing. The time variation of the three-dimensional Eulerian coherent structures around a flapping Drosophila in hovering flight is analyzed in the near wake with λ2-criterion. Meanwhile, the Lagrangian coherent structures are investigated using finite-time Lyapunov exponent fields. In addition, the instantaneous velocity vectors and particle traces are presented along with the aerodynamic parameters including the force, moment and power for a wing–body combination. Furthermore, a wing-only configuration is also investigated in order to show the body effects on aerodynamic loads. The numerical simulations are used to gain insight into the near wake topology as well as their correlations with the aerodynamic force generation. The present fully coupled ALE algorithm is shown to be sufficiently robust to deal with large mesh deformations seen in flapping wings and reveals highly detailed near wake topology which is very useful to study physics in biological flights and can also provide an effective tool for designing bio-inspired MAVs and MFIs.

Original languageEnglish
Pages (from-to)255-279
Number of pages25
JournalTheoretical and Computational Fluid Dynamics
Volume33
Issue number3-4
DOIs
Publication statusPublished - 1 Aug 2019

Bibliographical note

Publisher Copyright:
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.

Keywords

  • ALE methods
  • Coherent structures
  • Hovering flight
  • Insect aerodynamics
  • Particle tracking
  • Radial basis function
  • Wake topology

Fingerprint

Dive into the research topics of 'The numerical investigation of Lagrangian and Eulerian coherent structures for the near wake structure of a hovering Drosophila'. Together they form a unique fingerprint.

Cite this