Kivotides, Demosthenes; Leonard, Anthony (2021) Physics of superfluid helium-4 vortex tangles in normal-fluid strain fields Physical Review Fluids; Vol. 6; No. 4; https://doi.org/10.1103/physrevfluids.6.044702
Kivotides, Demosthenes; Leonard, Anthony (2021) Helicity spectra and topological dynamics of vortex links at high Reynolds numbers Journal of Fluid Mechanics; Vol. 911; https://doi.org/10.1017/jfm.2020.1003
Leonard, Anthony (2019) Dedication of Proceedings to Professor Anatol Roshko 1923-2017 Journal of Fluids and Structures; Vol. 89; https://doi.org/10.1016/j.jfluidstructs.2019.05.002
Hejlesen, Mads Mølholm; Koumoutsakos, Petros et al. (2015) Iterative Brinkman penalization for remeshed vortex methods Journal of Computational Physics; Vol. 280; https://doi.org/10.1016/j.jcp.2014.09.029
Tchieu, Andrew A.; Leonard, Anthony (2011) A discrete-vortex model for the arbitrary motion of a thin airfoil with fluidic control Journal of Fluids and Structures; Vol. 27; No. 5-6; In: International Union of Theoretical and Applied Mechanics (IUTAM) Symposium on Bluff Body Wakes and Vortex-Induced Vibrations, Jun 22-25, 2010, Capri Isl, Italy https://doi.org/10.1016/j.jfluidstructs.2011.02.008
van Rees, Wim M.; Leonard, Anthony et al. (2011) A comparison of vortex and pseudo-spectral methods for the simulation of periodic vortical flows at high Reynolds numbers Journal of Computational Physics; Vol. 230; No. 8; https://doi.org/10.1016/j.jcp.2010.11.031
Tchieu, A. A.; Crowdy, D. et al. (2010) Fluid-structure interaction of two bodies in an inviscid fluid Physics of Fluids; Vol. 22; No. 10; https://doi.org/10.1063/1.3485063
Leonard, Anthony (2010) On the motion of thin vortex tubes Theoretical and Computational Fluid Dynamics; Vol. 24; No. 1-4; https://doi.org/10.1007/s00162-009-0126-5
Leonard, A. (2009) The universal structure of high-curvature regions of material lines in chaotic flows Journal of Fluid Mechanics; Vol. 622; https://doi.org/10.1017/S0022112008005132
Shariff, Karim; Leonard, Anthony et al. (2008) A contour dynamics algorithm for axisymmetric flow Journal of Computational Physics; Vol. 227; No. 21; https://doi.org/10.1016/j.jcp.2007.10.005
Bergdorf, Michael; Koumoutsakos, Petros et al. (2007) Direct numerical simulations of vortex rings at ReΓ = 7500 Journal of Fluid Mechanics; Vol. 581; https://doi.org/10.1017/S0022112007006192
Barba, L. A.; Leonard, A. (2007) Emergence and evolution of tripole vortices from net-circulation initial conditions Physics of Fluids; Vol. 19; No. 1; https://doi.org/10.1063/1.2409734
Klamo, J. T.; Leonard, A. et al. (2006) The effects of damping on the amplitude and frequency response of a freely vibrating cylinder in cross-flow Journal of Fluids and Structures; Vol. 22; No. 6-7; In: 4th Conference on Bluff Body Wakes and Vortex-Induced Vibrations, Jun 21-24, 2005, Santorini, Greece https://doi.org/10.1016/j.jfluidstructs.2006.04.009
Shariff, Karim; Leonard, Anthony et al. (2006) Dynamical systems analysis of fluid transport in time-periodic vortex ring flows Physics of Fluids; Vol. 18; No. 4; https://doi.org/10.1063/1.2189867
Klamo, J. T.; Leonard, A. et al. (2005) On the maximum amplitude for a freely vibrating cylinder in cross-flow Journal of Fluids and Structures; Vol. 21; No. 4; https://doi.org/10.1016/j.jfluidstructs.2005.07.010
Barba, L. A.; Leonard, A. et al. (2005) Vortex method with meshless spatial adaption for accurate simulation of viscous, unsteady vortical flows International Journal for Numerical Methods in Fluids; Vol. 47; No. 8-9; In: 8th ICFD Conference on Numerical Methods for Fluid Dynamics, 20-30 March 2005, Oxford, England https://doi.org/10.1002/fld.842
Barba, L. A.; Leonard, A. et al. (2005) Advances in viscous vortex methods - meshless spatial adaption based on radial basis function interpolation International Journal for Numerical Methods in Fluids; Vol. 47; No. 5; https://doi.org/10.1002/fld.811
Kivotides, Demosthenes; Leonard, Anthony (2003) Quantized turbulence physics Physical Review Letters; Vol. 90; No. 23; https://doi.org/10.1103/PhysRevLett.90.234503
Chatelain, Philippe; Kivotides, Demosthenes et al. (2003) Reconnection of Colliding Vortex Rings Physical Review Letters; Vol. 90; No. 5; https://doi.org/10.1103/PhysRevLett.90.054501
Leonard, Anthony (2002) The kinematics and dynamics of vorticity in the inertial range: a possible scenario Journal of Turbulence; Vol. 3; https://doi.org/10.1088/1468-5248/3/1/060
Chatelain, Philippe; Leonard, Anthony (2002) Face-centred cubic lattices and particle redistribution in vortex methods Journal of Turbulence; Vol. 2002; No. 3; https://resolver.caltech.edu/CaltechAUTHORS:CHAjot02
Eldredge, Jeff D.; Colonius, Tim et al. (2002) A dilating vortex particle method for compressible flow Journal of Turbulence; Vol. 2002; No. 3; https://resolver.caltech.edu/CaltechAUTHORS:ELDjot02
Eldredge, Jeff D.; Leonard, Anthony et al. (2002) A General Deterministic Treatment of Derivatives in Particle Methods Journal of Computational Physics; Vol. 180; No. 2; https://doi.org/10.1006/jcph.2002.7112
Eldredge, Jeff D.; Colonius, Tim et al. (2002) A Vortex Particle Method for Two-Dimensional Compressible Flow Journal of Computational Physics; Vol. 179; No. 2; https://doi.org/10.1006/jcph.2002.7060
Papalexandris, M. V.; Leonard, A. et al. (2002) Unsplit algorithms for multidimensional systems of hyperbolic conservation laws with source terms Computers and Mathematics with Applications; Vol. 44; No. 1-2; https://doi.org/10.1016/S0898-1221(02)00128-1
Leonard, A.; Roshko, A. (2001) Aspects of flow-induced vibration Journal of Fluids and Structures; Vol. 15; No. 3-4; In: IUTAM Symposium on Bluff Body Wakes and Vortex-Induced Vibrations (BBVIV-2), Jun. 13-16, 2000 , Carry Le Rouet, France https://doi.org/10.1006/jfls.2000.0360
Shiels, D.; Leonard, A. (2001) Investigation of a drag reduction on a circular cylinder in rotary oscillation Journal of Fluid Mechanics; Vol. 431; https://doi.org/10.1017/S002211200000313X
Shiels, D.; Leonard, A. et al. (2001) Flow-induced vibration of a circular cylinder at limiting structural parameters Journal of Fluids and Structures; Vol. 15; No. 1; https://doi.org/10.1006/jfls.2000.0330
Ghosh, S; Leonard, A. et al. (1998) Diffusion of a passive scalar from a no-slip boundary into a two-dimensional chaotic advection field Journal of Fluid Mechanics; Vol. 372; https://doi.org/10.1017/S0022112098002249
Papalexandris, Miltiadis V.; Leonard, Anthony et al. (1997) Unsplit Schemes for Hyperbolic Conservation Laws with Source Terms in One Space Dimension Journal of Computational Physics; Vol. 134; No. 1; https://doi.org/10.1006/jcph.1997.5692
Min, I. A.; Mezić, I. et al. (1996) Lévy stable distributions for velocity and velocity difference in systems of vortex elements Physics of Fluids; Vol. 8; No. 5; https://doi.org/10.1063/1.868908
Huang, Mei-Jiau; Leonard, Anthony (1995) Velocity autocorrelations of decaying isotropic homogeneous turbulence Physics of Fluids; Vol. 7; No. 10; https://doi.org/10.1063/1.868780
Koumoutsakos, Petros; Leonard, A. (1995) High-resolution simulations of the flow around an impulsively started cylinder using vortex methods Journal of Fluid Mechanics; Vol. 296; https://doi.org/10.1017/S0022112095002059
Huang, Mei-Jiau; Leonard, Anthony (1994) Power-law decay of homogeneous turbulence at low Reynolds numbers Physics of Fluids; Vol. 6; No. 11; https://doi.org/10.1063/1.868366
Cortelezzi, L.; Leonard, A. et al. (1994) An example of active circulation control of the unsteady separated flow past a semi-infinite plate Journal of Fluid Mechanics; Vol. 260; https://doi.org/10.1017/S0022112094003460
Leonard, A. (1994) Nonlocal theory of area-varying waves on axisymmetric vortex tubes Physics of Fluids; Vol. 6; No. 2; https://doi.org/10.1063/1.868315
Lappas, Tasso; Leonard, Anthony et al. (1993) An Adaptive Lagrangian Method for Computing 1D Reacting and Non-reacting Flows Journal of Computational Physics; Vol. 104; No. 2; https://doi.org/10.1006/jcph.1993.1037
Beigie, Darin; Leonard, Anthony et al. (1993) Statistical relaxation under nonturbulent chaotic flows: Non-Gaussian high-stretch tails of finite-time Lyapunov exponent distributions Physical Review Letters; Vol. 70; No. 3; https://doi.org/10.1103/PhysRevLett.70.275
Shariff, Karim; Leonard, Anthony (1992) Vortex Rings Annual Review of Fluid Mechanics; Vol. 24; https://doi.org/10.1146/annurev.fl.24.010192.001315
Beigie, Darren; Leonard, Anthony et al. (1991) Chaotic transport in the homoclinic and heteroclinic tangle regions of quasiperiodically forced two-dimensional dynamical systems Nonlinearity; Vol. 4; No. 3; https://doi.org/10.1088/0951-7715/4/3/008
Beigle, Darin; Leonard, Anthony et al. (1991) A global study of enhanced stretching and diffusion in chaotic tangles Physics of Fluids A; Vol. 3; No. 5; https://doi.org/10.1063/1.858084
Rom-Kedar, V.; Leonard, A. et al. (1990) An analytical study of transport, mixing and chaos in an unsteady vortical flow Journal of Fluid Mechanics; Vol. 214; https://doi.org/10.1017/S0022112090000167
Winckelmans, G.; Leonard, A. (1988) Weak solutions of the three-dimensional vorticity equation with vortex singularities Physics of Fluids; Vol. 31; No. 7; https://doi.org/10.1063/1.866680
Moin, Parviz; Leonard, Anthony et al. (1986) Evolution of a curved vortex filament into a vortex ring Physics of Fluids; Vol. 29; No. 4; https://doi.org/10.1063/1.865690
Leonard, A. (1985) Computing Three-Dimensional Incompressible Flows with Vortex Elements Annual Review of Fluid Mechanics; Vol. 17; https://doi.org/10.1146/annurev.fl.17.010185.002515
Feinstein, David L.; Butler, Frank E. et al. (1972) Radiative transport analysis of electromagnetic propagation in isotropic plasma turbulence Physics of Fluids; Vol. 15; No. 9; https://doi.org/10.1063/1.1694142
Cheng, Ping; Leonard, A. (1971) Application of singular eigenfunction expansions to the propagation of periodic disturbances in a radiating grey gas Physics of Fluids; Vol. 14; No. 5; https://doi.org/10.1063/1.1693547
Leonard, A. (1971) Two-Dimensional Quarter Space Problems in One-Speed Transport Theory Journal of Mathematical Physics; Vol. 12; No. 5; https://doi.org/10.1063/1.1665644
Cheng, Ping; Leonard, A. (1971) An exact solution of linearized flow of an emitting, absorbing and scattering grey gas Journal of Fluid Mechanics; Vol. 45; No. 4; https://doi.org/10.1017/S0022112071000272
Garrettson, G.; Leonard, A. (1970) Green's functions for multidimensional neutron transport in a slab Journal of Mathematical Physics; Vol. 11; No. 2; https://doi.org/10.1063/1.1665188
Leonard, A. (1968) Exact inversion of the fugacity-density relation for ideal quantum gases Physical Review; Vol. 175; No. 1; https://doi.org/10.1103/PhysRev.175.221
Leonard, A.; Mullikin, T. W. (1964) Spectral analysis of the anisotropic neutron transport kernel in slab geometry with applications Journal of Mathematical Physics; Vol. 5; No. 3; https://doi.org/10.1063/1.1704132
Ferziger, J. H.; Leonard, A. (1962) Multiple scattering of neutrons in the static approximation Physical Review; Vol. 128; No. 5; https://doi.org/10.1103/PhysRev.128.2188