Navier–Stokes Computation Of Hovering Dynamics

A chronological overview of our research at the University of Colorado from 1985 to present, focused on the Navier–Stokes equation computational simulation of the aerodynamics which enables the hovering of certain insects and birds, will be given. This work was the first of its kind and provided an exceedingly good match of our computational vortex hovering dynamics to that observed in the laboratory and in nature. Then a reasonably good match of our computational lift coefficients to observed laboratory thrust coefficients was also obtained. Current issues will be discussed.

[1]  J. Gollub,et al.  Vortex Flow in Nature and Technology , 1985 .

[2]  M. Dickinson Solving the mystery of insect flight. , 2001, Scientific American.

[3]  Karl Gustafson Lectures on Computational Fluid Dynamics, Mathematical Physics and Linear Algebra , 1996 .

[4]  An Unsteady Model of Animal Hovering , 1989 .

[5]  M. Triantafyllou,et al.  An Efficient Swimming Machine , 1995 .

[6]  K. Kawachi,et al.  A Numerical Study of Insect Flight , 1998 .

[7]  Karl Gustafson,et al.  Computation of dragonfly aerodynamics , 1991 .

[8]  Insect flight simulation resembles Navier-Stokes , 2001 .

[9]  K. Gustafson Operator spectral states , 1997 .

[10]  Karl Gustafson,et al.  Biological dynamical subsystems of hovering flight , 1996 .

[11]  P. Freymuth Vortex Visualizations For Two-dimensional ModelsOf Caudal Fin Fish Propulsion , 2006 .

[12]  S. Sunada,et al.  Unsteady Forces on a Two-Dimensional Wing in Plunging and Pitching Motions , 2001 .

[13]  Z. J. Wang Two dimensional mechanism for insect hovering , 2000 .

[14]  A. Bejan Convection Heat Transfer , 1984 .

[15]  Karl Gustafson Capturing correct solutions in CFD , 1998 .

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[17]  K. Gustafson Introduction to Partial Differential Equations and Hilbert Space Methods , 1980 .

[18]  Karl Gustafson,et al.  Robust multigrid computation and visualization of separation and vortex evolution in aerodynamic flows , 1988 .

[19]  Peter Freymuth,et al.  Thrust generation by an airfoil in hover modes , 1990 .

[20]  P. Freymuth Application of the unsteady two-dimensional aerodynamic model to common dragonfly maneuvers , 2006 .

[22]  Peter Freymuth,et al.  The vortex patterns of dynamic separation: A parametric and comparative study , 1985 .

[23]  K. Gustafson,et al.  Multigrid calculation of subvortices , 1986 .

[24]  Karl Gustafson,et al.  6. Visualization and Computation of Hovering Mode Vortex Dynamics , 1991 .

[25]  Ta Phuoc Loc Numerical analysis of unsteady secondary vortices generated by an impulsively started circular cylinder , 1980 .

[26]  Akira Azuma,et al.  The Biokinetics of Flying and Swimming , 1992 .