A two dimensional dragonfly flapping wing kinematics has been modelled for hovering scenario using fast dynamic grid deformation based on the Delaunay graph mapping technique. This method is a more efficient technique for moving object simulations compared to the commonly applied techniques such as the spring analogy or the overset grid technique. It is successfully applied to model the complete cycle of the complex dragonfly flapping wings kinematics. This may be considered as a step forward in modelling of the dragonfly flapping wing as computational cost is greatly reduced. The study also reveals the lift generation capability of symmetric vertical flapping of a dragonfly corrugated wing section. Analyses are provided including snapshots of vorticity flow field. A fully unsteady numerical simulation has been conducted using an in-house code to run several combinations of flapping wing frequencies and amplitudes. The maximum vertical force has been produced for a frequency (f) of 40Hz and an amplitude (A) of 0.25 chord lengths (0.25c). The lowest vertical force is produced for f=10Hz and A=1.5c. Most vertical force is produced during the down-stroke (the first mid-stroke) in comparison with the force production during the up-stroke (the second mid-stroke). For instance at f=40Hz and A=0.25c, around 64% of the vertical force required for balance flight during hovering has been produced through down-stroke phase. However, there exist maximum and minimum forces for all cases around each mid-stroke. The location of these depends on the kinematics applied, e.g., at f=10Hz and A=1.5c the highest value is at the normalised flapping period (τ) of about 0.3 and the lowest is at about τ=0.7 whereas at f=40Hz and A=0.25c the peak is at about τ=0.41 and the smallest is at τ=0.68.
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