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Books


P. S. Bernard and J. M. Wallace, Turbulent Flow: Analysis, Measurement and Prediction, (2002) John Wiley & Sons, Hoboken, N.J.

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

Gallery of Fluid Motion Posters


  • Baltimore APS 2011

  • Minneapolis APS 2009

  • Selected Publications


  • P. S. Bernard, Boundary layer vorticity and the rise of hairpins, Progress in Wall Turbulence: Understanding and Modelling, 18-20 June 2014, Lille, France, to appear in ERCOFTAC series, Springer-Verlag.

  • P. S. Bernard, Vortex dynamics in transitional and turbulent boundary layers, AIAA Journal, Vol. 51, No. 8, pp. 1828-1842, (2013), (DOI:10.2514/1.J051811).

  • P. S. Bernard, Vortex dynamics in transitional and turbulent boundary layers , AIAA Paper 2012-0750, (2012)

  • P. S. Bernard, The hairpin vortex illusion , Journal of Physics: Conference Series, Vol. 318, 060024, (2011). (DOI:10.1088/1742-6596/318/6/062004).

  • 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, Grid-free 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 2005-01-0549, (2005)

  • P. S. Bernard and J. Shen, A grid-free dilatation element method for quasi-one-dimensional 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. 3093-3108 (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 self-preserving isotropic turbulence revisted Journal of Fluid Mechanics, Vol. 241, pp. 645-667, (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. 29-39, (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 two-dimensional incompressible linear flow, SIAM Review, Vol. 32, pp. 660-666, (1990).

  • P. S. Bernard, Turbulence effects in the edgetone flowfield, Journal of Fluids and Structures, Vol. 4, pp. 449-470. (1990).

  • P. S. Bernard and R. A. Handler, Reynolds stress and the physics of turbulent momentum transport, Journal of Fluid Mechanics, Vol. 220, pp. 99-124 (1990).

  • P. S. Bernard, Kinematics of velocity and vorticity correlations in turbulent flow , Physics of Fluids, Vol. 26, pp. 2080-2087 (1983).

  • A.J.Chorin and P. S. Bernard, Discretization of a vortex sheet, with an example of roll-up, Journal of Computational Physics, Vol. 13, pp. 423-429 (1973).

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