Bechlars P.2015 Comprehensive characterisation of turbulence dynamics with emphasis on wall-bounded flows. PhD thesis, University of Southampton.

Bechlars P. & Sandberg R. D.
2017
Variation of enstrophy production and strain rotation relation in a turbulent boundary layer. J. Fluid Mech.
812, 321–348.

Blackburn H. M., Mansour N. N. & Cantwell B. J.
1996
Topology of fine-scale motions in turbulent channel flow. J. Fluid Mech.
310, 269–292.

Bode C. & Friedrichs J.
2014
The effects of turbulence length scale on turbulence and transition prediction on turbomachinery flows. In Proceedings of the ASME Turbo Expo 2014, pp. 1–13.

Chacin J. M., Cantwell B. J. & Kline S. J.
1996
Study of turbulent boundary layer structure using the invariants of the velocity gradient tensor. Exp. Therm. Fluid Sci.
13 (4), 308–317.

Chevillard L., Meneveau C., Biferale L. & Toschi F.
2008
Modeling the pressure Hessian and viscous Laplacian in turbulence: comparisons with direct numerical simulation and implications on velocity gradient dynamics. Phys. Fluids
20 (10), 101504.

Chong M. S., Soria J., Perry a. E., Chacin J. M., Cantwell B. J. & Na Y.
1998
Turbulence structures of wall-bounded shear flows found using DNS data. J. Fluid Mech.
357, 225–247.

Elsinga G. E. & Marusic I.
2010
Evolution and lifetimes of flow topology in a turbulent boundary layer. Phys. Fluids
22 (1), 015102.

Ganapathisubramani B., Lakshminarasimhan K. & Clemens N. T.
2008
Investigation of three-dimensional structure of fine scales in a turbulent jet by using cinematographic stereoscopic particle image velocimetry. J. Fluid Mech.
598, 141–175.

Gomes-Fernandes R., Ganapathisubramani B. & Vassilicos J. C.
2014
Evolution of the velocity-gradient tensor in a spatially developing turbulent flow. J. Fluid Mech.
756, 252–292.

Hamlington P. E., Schumacher J. & Dahm W. J. A.
2008
Local and nonlocal strain rate fields and vorticity alignment in turbulent flows. Phys. Rev. E
77 (2), 1–8.

Jeong E. & Girimaji S. S.
2003
Velocity-gradient dynamics in turbulence: effect of viscosity and forcing. Theor. Comput. Fluid Dyn.
16, 421–432.

Laizet S., Vassilicos J. C. & Cambon C.
2013
Interscale energy transfer in decaying turbulence and vorticity–strain-rate dynamics in grid-generated turbulence. Fluid Dyn. Res.
45 (6), 61408.

Lawson J. M. & Dawson J. R.
2015
On velocity gradient dynamics and turbulent structure. J. Fluid Mech.
780, 60–98.

Lozano-Durán A., Holzner M. & Jiménez J.
2015
Numerically accurate computation of the conditional trajectories of the topological invariants in turbulent flows. J. Comput. Phys.
295, 805–814.

Luethi B., Holzner M. & Tsinober A.
2009
Expanding the *QR* space to three dimensions. J. Fluid Mech.
641, 497–507.

Martin J., Ooi A., Chong M. S. & Soria J.
1998
Dynamics of the velocity gradient tensor invariants in isotropic turbulence. Phys. Fluids
10 (9), 2336.

Meneveau C.
2011
Lagrangian dynamics and models of the velocity gradient tensor in turbulent flows. Annu. Rev. Fluid Mech.
43 (1), 219–245.

Ooi A., Martin J., Soria J. & Chong M. S.
1999
A study of the evolution and characteristics of the invariants of the velocity-gradient tensor in isotropic turbulence. J. Fluid Mech.
381, 141–174.

Perry A. E. & Chong M. S.
1987
A description of eddying motions and flow patterns using critical-point concepts. Annu. Rev. Fluid Mech.
19, 125–155.

Poinsot T. J. & Lele S. K.
1992
Boundary conditions for direct simulations of compressible viscous flows. J. Comput. Phys.
101 (1), 104–129.

Sagaut P., Deck S. & Terracol M.
2013
Multiscale and Multiresolution Approaches in Turbulence – LES, DES and Hybrid RANS/LES Methods: Applications and Guidelines, 2nd edn. Imperial College Press.

Sandberg R. D.
2015
Compressible-flow DNS with application to airfoil noise. Flow Turbul. Combust.
95 (2–3), 211–229.

Soria J., Sondergaard R., Cantwell B. J., Chong M. S. & Perry A. E.
1994
A study of the fine-scale motions of incompressible time-developing mixing layers. Phys. Fluids
6, 871–884.

Spalart P. R.
2015
Philosophies and fallacies in turbulence modeling. Prog. Aerosp. Sci.
74, 1–15.

Suman S. & Girimaji S. S.
2013
Velocity gradient dynamics in compressible turbulence: characterization of pressure-Hessian tensor. Phys. Fluids
25 (12), 125103.

Thompson K. W.
1990
Time dependent boundary conditions for hyperbolic systems, II. J. Comput. Phys.
89, 439–461.

Touber E. & Sandham N. D.
2009
Large-eddy simulation of low-frequency unsteadiness in a turbulent shock-induced separation bubble. Theor. Comput. Fluid Dyn.
23 (2), 79–107.

Tsinober A.
2000
Vortex stretching versus production of strain/dissipation. Turbul. Struct. Vortex Dyn.
164–191.

Vieillefosse P.
1982
Local interaction between vorticity and shear in a perfect incompressible fluid. J. Phys.
43, 836–842.

Vieillefosse P.
1984
Internal motion of a small element of fluid in an inviscid flow. Physica A
125 (1), 150–162.

Wang L. & Lu X.
2012
Flow topology in compressible turbulent boundary layer. J. Fluid Mech.
703, 255–278.

Wilczek M. & Meneveau C.
2014
Pressure Hessian and viscous contributions to velocity gradient statistics based on Gaussian random fields. J. Fluid Mech.
756, 191–225.