
Books
P. S. Bernard, Fluid Dynamics,(2015)
Cambridge University Press, New York, N. Y., May, 2015.

P. S. Bernard and J. M. Wallace,
Turbulent Flow: Analysis, Measurement and Prediction , (2002) John Wiley & Sons , Hoboken, N.J. 
Gallery of Fluid Motion Posters
Baltimore APS 2011
Minneapolis APS 2009
Selected Publications
P. S. Bernard,
Boundary layer vorticity and the rise of hairpins, presented at Progress in Wall Turbulence: Understanding and Modelling, 1820 June 2014, Lille, France.
P. S. Bernard,
Vortex dynamics in transitional and turbulent boundary layers, AIAA Journal, Vol. 51, No. 8, pp. 18281842, (2013), (DOI:10.2514/1.J051811).
P. S. Bernard,
Vortex dynamics in transitional and turbulent boundary layers
, AIAA Paper 20120750, (2012)
P. S. Bernard,
The hairpin vortex illusion
, Journal of Physics: Conference Series, Vol. 318, 060024, (2011). (DOI:10.1088/17426596/318/6/062004).
P. S. Bernard, P. Collins and M. Potts,
Vortex filament simulation of the turbulent boundary layer
, AIAA Journal, Vol. 48, No. 8, August, (2010). (DOI: 10.25l4/1.J050224).
P. S. Bernard,
Vortex filament simulation of the turbulent coflowing jet ,
Physics of Fluids, Vol. 21, No. 2 (2009)
Copyright 2009 American Institute of Physics. This article may be downloaded for personal use only. Any other
use requires prior permission of the author and the American Institute of Physics.
P. S. Bernard, Phys. Fluids 21,025107 (2009)
P. S. Bernard,
Gridfree simulation of the spatially growing turbulent mixing layer,
AIAA Journal, Vol. 46, pp. 1725  1737 (2008)
P. S. Bernard,
Turbulent flow properties of large scale vortex systems,
Proceedings of the National Academy of Sciences, Vol. 103, pp. 10174  10179 (2006)
P. S. Bernard, P. Collins and M. Potts,
Vortex method simulation of ground vehicle aerodynamics,
SAE Transactions Journal of Passenger Cars  Mechanical Systems, SAE Paper 2005010549, (2005)
P. S. Bernard and J. Shen,
A gridfree dilatation element method for quasionedimensional gas dynamics,
Journal of Computational Physics, Vol. 199 (2005)
P. S. Bernard,
A deterministic vortex sheet method for boundary layer flow ,
Journal of Computational Physics, Vol. 117, pp. 132  145 (1995)
P. S. Bernard and A. L. Rovelstad,
On the physical accuracy of scalar transport models in inhomogeneous turbulence, Physics of Fluids, Vol. 6, pp. 30933108 (1994)
P. S. Bernard, J. M. Thomas and R. A. Handler,
Vortex dynamics and the production of Reynolds stress
Journal of Fluid Mechanics, Vol. 253, pp. 385  419, (1993)
C. G. Speziale and P. S. Bernard, The energy decay in selfpreserving isotropic turbulence revisted Journal of Fluid Mechanics, Vol. 241, pp. 645667, (1992)
P. S. Bernard and C. G. Speziale, Bounded energy states in homogeneous turbulent shear flow  an alternative view ASME J. Fluids Engineering, Vol. 114, pp. 2939, (1992)
P. S. Bernard, Turbulent vorticity transport in three dimensions Theoretical and Computational Fluid Dynamics, Vol. 2, pp. 165  183, (1990)
P. S. Bernard,
Convective diffusion in twodimensional incompressible linear flow,
SIAM Review, Vol. 32, pp. 660666, (1990).
P. S. Bernard,
Turbulence effects in the edgetone flowfield, Journal of Fluids and Structures, Vol. 4, pp. 449470. (1990).
P. S. Bernard and R. A. Handler,
Reynolds stress and the physics of turbulent momentum transport,
Journal of Fluid Mechanics, Vol. 220, pp. 99124 (1990).
P. S. Bernard,
Kinematics of velocity and vorticity correlations in turbulent flow , Physics of Fluids, Vol. 26, pp. 20802087 (1983).
A.J.Chorin and P. S. Bernard, Discretization of a vortex sheet, with an example of rollup, Journal of Computational Physics, Vol. 13, pp. 423429 (1973).

 publications
 home 
